New Trends in Probability and Statistics. / Vol. 4, : Analytic and Probabilistic Methods in Number Theory ; Proceedings of the Second International Conference in Honour of J. Kubilius, Palanga, Lithuania, 23–27 September 1996 / / ed. by E. Laurincikas, E. Manstavicius, V. Stakenas.
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Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©1997 |
Year of Publication: | 2012 |
Edition: | Reprint 2012 |
Language: | English |
Series: | New Trends in Probability and Statistics ;
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Physical Description: | 1 online resource (501 p.) :; 1 Frontispice and num. ill. |
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New Trends in Probability and Statistics. Vol. 4, Analytic and Probabilistic Methods in Number Theory ; Proceedings of the Second International Conference in Honour of J. Kubilius, Palanga, Lithuania, 23–27 September 1996 / ed. by E. Laurincikas, E. Manstavicius, V. Stakenas. Reprint 2012 Berlin ; Boston : De Gruyter, [2012] ©1997 1 online resource (501 p.) : 1 Frontispice and num. ill. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda New Trends in Probability and Statistics ; Vol. 4 i-iv -- CONTENTS -- PREFACE -- Part One. ALGEBRAIC NUMBER THEORY -- GEL’FOND’S TRANSCENDENCE METHOD BY ELEMENTARY MEANS -- ALGEBRAIC CONJUGATES OUTSIDE THE UNIT CIRCLE -- APPLICATIONS OF ALGEBRAIC UNITS -- ON SOME DIOPHANTINE EQUATIONS CONNECTED WITH PELLIAN EQUATION -- Part Two. QUADRATIC FORMS -- ON THE GENERAL UNIMPROVABLE ESTIMATES OF THE SINGULAR SERIES OF POSITIVE QUADRATIC FORMS -- ON THE REPRESENTATION OF NUMBERS BY CERTAIN QUADRATIC FORMS IN TEN VARIABLES -- Part Three. ZETA AND L-FUNCTIONS -- THE UNIVERSALITY THEOREM WITH WEIGHT FOR THE LERCH ZETA-FUNCTION -- THE GENERAL ADDITIVE DIVISOR PROBLEM AND MOMENTS OF THE ZETA-FUNCTION -- THE CORRESPONDENCE BETWEEN A DIRICHLET SERIES AND ITS COEFFICIENTS -- A NOTE ON THE MEAN SQUARE OF Ϛ(s) IN THE CRITICAL STRIP -- EXPLICIT FORMULAS AND ASYMPTOTIC EXPANSIONS FOR CERTAIN MEAN SQUARE OF HURWITZ ZETA-FUNCTIONS. II -- ON LIMIT DISTRIBUTION OF THE LERCH ZETA-FUNCTION -- THE FOURTH MOMENTS OF DIRICHLET SERIES -- Part Four. MULTIPLICATIVE NUMBER THEORY -- ESTIMATION OF A CERTAIN FUNCTION RELATED TO THE DIRICHLET DIVISOR PROBLEM -- ON SOME PAIRS OF MULTIPLICATIVE FUNCTIONS CORRELATED BY AN EQUATION -- A CHARACTERIZATION OF SOME ADDITIVE ARITHMETICAL FUNCTIONS -- ON PSEUDOSQUARES -- A REMARK ON SOME SPECIAL ARITHMETICAL FUNCTIONS -- MODIFIED ZETA FUNCTIONS AND THE NUMBER OF g-INTEGERS -- Part Five. VALUE DISTRIBUTION OF ARITHMETIC FUNCTIONS -- ON A CONJECTURE BY ERDÖS AND ITS EXTENSION TO ADDITIVE FUNCTIONS ON THE SET OF PAIRS OF INTEGERS -- MULTIPLICATIVE FUNCTIONS AND STOCHASTIC PROCESSES -- CONVOLUTIONS OF THE POISSON LAWS IN NUMBER THEORY -- SHIFTED PRIMES AND KUBILIUS MODELS -- THE DISTRIBUTION OF THE NUMBER OF PRIME DIVISORS OF NUMBERS OF FORM ab + 1 -- MULTIPLICATIVE FUNCTIONS OF FAREY FRACTIONS -- ON SOME INEQUALITIES IN THE PROBABILISTIC NUMBER THEORY -- THE ASYMPTOTICAL EXPANSION IN THE MEAN VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS -- LOCAL DISTRIBUTIONS OF ARITHMETIC FUNCTIONS ON SEMIGROUPS -- THE MEAN VALUES OF MULTIPLICATIVE FUNCTIONS. III -- ON THE CONVERGENCE TO THE POISSON LAW -- Part Six. PROBABILISTIC THEORY OF NUMBER SYSTEMS AND SERIES -- RENORMALIZATION OF ALGORITHMS IN THE PROBABILISTIC SENSE -- PROBABILISTIC THEORY OF ADDITIVE FUNCTIONS RELATED TO SYSTEMS OF NUMERATION -- ON LIMIT THEOREMS FOR ENDOMORPHISMS OF A. RÉNYI TYPE -- DENSITIES FOR SUMS OF INDEPENDENT RANDOM VARIABLES AND THEIR APPLICATIONS TO THE VALUE DISTRIBUTIONS OF Δ(x), P(x) AND ς(s) -- Part Seven. MISCELLANEOUS -- NOTE ON THE TRANSCENDENCE OF A GENERATING FUNCTION -- SOLUTION OF THE EQUATIONS OF DYNAMICAL CHAOS -- LOGISTIC DIFFERENTIAL EQUATION OF NEUTRAL TYPE -- A THEOREM OF MÜNTZ TYPE FOR CHEBYSHEV POLYNOMIALS -- COMPLETE SYSTEMS OF HOLOMORPHIC FUNCTIONS -- Programme of the Conference restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jun 2022) Number theory Congresses. Probabilistic number theory Congresses. Stochastik. Zahlentheorie. MATHEMATICS / Algebra / General. bisacsh ALLOUCHE, JEAN-PAUL, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb BABU, GUTTI JOGESH, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb BAREIKIS, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb BEKELIS, D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb BUNDSCHUH, PETER, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb DUBICKAS, ARTŪRAS, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb ELLIOTT, P. D. T. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb FURUYA, JUN, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb GARUNKŠTIS, R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb GOGISHVILI, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb HUBERT, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb INDLEKOFER, K.-H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb IVANAUSKAS, F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb IVIĆ, ALEKSANDAR, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb JUTILA, MATTI, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb KATSURADA, MASANORI, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb KAULAKYS, B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb KAČĖNAS, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb KLIORYS, CONSTANTINE, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb KUBILIUS, JONAS, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb KÁTAI, I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb LACROIX, Y., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb LAURINČIKAS, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Laurincikas, E., editor. edt http://id.loc.gov/vocabulary/relators/edt MANSTAVIČIUS, E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MATSUMOTO, KOHJI, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MAUCLAIRE, JEAN-LOUP, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MAČIULIS, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MEŠKAUSKAS1, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MISEVIČIUS, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb MITKIN, D. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Manstavicius, E., editor. edt http://id.loc.gov/vocabulary/relators/edt NAKAJIMA, MASUMI, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb PHONG, Β. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb SCHINZEL, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb SCHWARZ, WOLFGANG, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb SKRABUTĖNAS, RIMANTAS, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb SPILKER, JÜRGEN, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb STAKĖNAS, V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb STANKUS, E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb STEPANAUSKAS, GEDIMINAS, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stakenas, V., editor. edt http://id.loc.gov/vocabulary/relators/edt SÁRKÖZY, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb TANIGAWA, YOSHIO, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb TSALUGELASHVILI, N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb VEPKHVADZE, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb VINOGRADOV, A. I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb WALLISSER, ROLF, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb ŠIAULYS, J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb ŠVITRA, D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 9783110637199 ZDB-23-GMA print 9789067642552 https://doi.org/10.1515/9783110944648 https://www.degruyter.com/isbn/9783110944648 Cover https://www.degruyter.com/document/cover/isbn/9783110944648/original |
language |
English |
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author2 |
ALLOUCHE, JEAN-PAUL, ALLOUCHE, JEAN-PAUL, BABU, GUTTI JOGESH, BABU, GUTTI JOGESH, BAREIKIS, G., BAREIKIS, G., BEKELIS, D., BEKELIS, D., BUNDSCHUH, PETER, BUNDSCHUH, PETER, DUBICKAS, ARTŪRAS, DUBICKAS, ARTŪRAS, ELLIOTT, P. D. T. A., ELLIOTT, P. D. T. A., FURUYA, JUN, FURUYA, JUN, GARUNKŠTIS, R., GARUNKŠTIS, R., GOGISHVILI, G., GOGISHVILI, G., HUBERT, P., HUBERT, P., INDLEKOFER, K.-H., INDLEKOFER, K.-H., IVANAUSKAS, F., IVANAUSKAS, F., IVIĆ, ALEKSANDAR, IVIĆ, ALEKSANDAR, JUTILA, MATTI, JUTILA, MATTI, KATSURADA, MASANORI, KATSURADA, MASANORI, KAULAKYS, B., KAULAKYS, B., KAČĖNAS, A., KAČĖNAS, A., KLIORYS, CONSTANTINE, KLIORYS, CONSTANTINE, KUBILIUS, JONAS, KUBILIUS, JONAS, KÁTAI, I., KÁTAI, I., LACROIX, Y., LACROIX, Y., LAURINČIKAS, A., LAURINČIKAS, A., Laurincikas, E., Laurincikas, E., MANSTAVIČIUS, E., MANSTAVIČIUS, E., MATSUMOTO, KOHJI, MATSUMOTO, KOHJI, MAUCLAIRE, JEAN-LOUP, MAUCLAIRE, JEAN-LOUP, MAČIULIS, A., MAČIULIS, A., MEŠKAUSKAS1, T., MEŠKAUSKAS1, T., MISEVIČIUS, G., MISEVIČIUS, G., MITKIN, D. A., MITKIN, D. A., Manstavicius, E., Manstavicius, E., NAKAJIMA, MASUMI, NAKAJIMA, MASUMI, PHONG, Β. M., PHONG, Β. M., SCHINZEL, A., SCHINZEL, A., SCHWARZ, WOLFGANG, SCHWARZ, WOLFGANG, SKRABUTĖNAS, RIMANTAS, SKRABUTĖNAS, RIMANTAS, SPILKER, JÜRGEN, SPILKER, JÜRGEN, STAKĖNAS, V., STAKĖNAS, V., STANKUS, E., STANKUS, E., STEPANAUSKAS, GEDIMINAS, STEPANAUSKAS, GEDIMINAS, Stakenas, V., Stakenas, V., SÁRKÖZY, A., SÁRKÖZY, A., TANIGAWA, YOSHIO, TANIGAWA, YOSHIO, TSALUGELASHVILI, N., TSALUGELASHVILI, N., VEPKHVADZE, T., VEPKHVADZE, T., VINOGRADOV, A. I., VINOGRADOV, A. I., WALLISSER, ROLF, WALLISSER, ROLF, ŠIAULYS, J., ŠIAULYS, J., ŠVITRA, D., ŠVITRA, D., |
author_facet |
ALLOUCHE, JEAN-PAUL, ALLOUCHE, JEAN-PAUL, BABU, GUTTI JOGESH, BABU, GUTTI JOGESH, BAREIKIS, G., BAREIKIS, G., BEKELIS, D., BEKELIS, D., BUNDSCHUH, PETER, BUNDSCHUH, PETER, DUBICKAS, ARTŪRAS, DUBICKAS, ARTŪRAS, ELLIOTT, P. D. T. A., ELLIOTT, P. D. T. A., FURUYA, JUN, FURUYA, JUN, GARUNKŠTIS, R., GARUNKŠTIS, R., GOGISHVILI, G., GOGISHVILI, G., HUBERT, P., HUBERT, P., INDLEKOFER, K.-H., INDLEKOFER, K.-H., IVANAUSKAS, F., IVANAUSKAS, F., IVIĆ, ALEKSANDAR, IVIĆ, ALEKSANDAR, JUTILA, MATTI, JUTILA, MATTI, KATSURADA, MASANORI, KATSURADA, MASANORI, KAULAKYS, B., KAULAKYS, B., KAČĖNAS, A., KAČĖNAS, A., KLIORYS, CONSTANTINE, KLIORYS, CONSTANTINE, KUBILIUS, JONAS, KUBILIUS, JONAS, KÁTAI, I., KÁTAI, I., LACROIX, Y., LACROIX, Y., LAURINČIKAS, A., LAURINČIKAS, A., Laurincikas, E., Laurincikas, E., MANSTAVIČIUS, E., MANSTAVIČIUS, E., MATSUMOTO, KOHJI, MATSUMOTO, KOHJI, MAUCLAIRE, JEAN-LOUP, MAUCLAIRE, JEAN-LOUP, MAČIULIS, A., MAČIULIS, A., MEŠKAUSKAS1, T., MEŠKAUSKAS1, T., MISEVIČIUS, G., MISEVIČIUS, G., MITKIN, D. A., MITKIN, D. A., Manstavicius, E., Manstavicius, E., NAKAJIMA, MASUMI, NAKAJIMA, MASUMI, PHONG, Β. M., PHONG, Β. M., SCHINZEL, A., SCHINZEL, A., SCHWARZ, WOLFGANG, SCHWARZ, WOLFGANG, SKRABUTĖNAS, RIMANTAS, SKRABUTĖNAS, RIMANTAS, SPILKER, JÜRGEN, SPILKER, JÜRGEN, STAKĖNAS, V., STAKĖNAS, V., STANKUS, E., STANKUS, E., STEPANAUSKAS, GEDIMINAS, STEPANAUSKAS, GEDIMINAS, Stakenas, V., Stakenas, V., SÁRKÖZY, A., SÁRKÖZY, A., TANIGAWA, YOSHIO, TANIGAWA, YOSHIO, TSALUGELASHVILI, N., TSALUGELASHVILI, N., VEPKHVADZE, T., VEPKHVADZE, T., VINOGRADOV, A. I., VINOGRADOV, A. I., WALLISSER, ROLF, WALLISSER, ROLF, ŠIAULYS, J., ŠIAULYS, J., ŠVITRA, D., ŠVITRA, D., |
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author_sort |
ALLOUCHE, JEAN-PAUL, |
title |
New Trends in Probability and Statistics. |
spellingShingle |
New Trends in Probability and Statistics. New Trends in Probability and Statistics ; i-iv -- CONTENTS -- PREFACE -- Part One. ALGEBRAIC NUMBER THEORY -- GEL’FOND’S TRANSCENDENCE METHOD BY ELEMENTARY MEANS -- ALGEBRAIC CONJUGATES OUTSIDE THE UNIT CIRCLE -- APPLICATIONS OF ALGEBRAIC UNITS -- ON SOME DIOPHANTINE EQUATIONS CONNECTED WITH PELLIAN EQUATION -- Part Two. QUADRATIC FORMS -- ON THE GENERAL UNIMPROVABLE ESTIMATES OF THE SINGULAR SERIES OF POSITIVE QUADRATIC FORMS -- ON THE REPRESENTATION OF NUMBERS BY CERTAIN QUADRATIC FORMS IN TEN VARIABLES -- Part Three. ZETA AND L-FUNCTIONS -- THE UNIVERSALITY THEOREM WITH WEIGHT FOR THE LERCH ZETA-FUNCTION -- THE GENERAL ADDITIVE DIVISOR PROBLEM AND MOMENTS OF THE ZETA-FUNCTION -- THE CORRESPONDENCE BETWEEN A DIRICHLET SERIES AND ITS COEFFICIENTS -- A NOTE ON THE MEAN SQUARE OF Ϛ(s) IN THE CRITICAL STRIP -- EXPLICIT FORMULAS AND ASYMPTOTIC EXPANSIONS FOR CERTAIN MEAN SQUARE OF HURWITZ ZETA-FUNCTIONS. II -- ON LIMIT DISTRIBUTION OF THE LERCH ZETA-FUNCTION -- THE FOURTH MOMENTS OF DIRICHLET SERIES -- Part Four. MULTIPLICATIVE NUMBER THEORY -- ESTIMATION OF A CERTAIN FUNCTION RELATED TO THE DIRICHLET DIVISOR PROBLEM -- ON SOME PAIRS OF MULTIPLICATIVE FUNCTIONS CORRELATED BY AN EQUATION -- A CHARACTERIZATION OF SOME ADDITIVE ARITHMETICAL FUNCTIONS -- ON PSEUDOSQUARES -- A REMARK ON SOME SPECIAL ARITHMETICAL FUNCTIONS -- MODIFIED ZETA FUNCTIONS AND THE NUMBER OF g-INTEGERS -- Part Five. VALUE DISTRIBUTION OF ARITHMETIC FUNCTIONS -- ON A CONJECTURE BY ERDÖS AND ITS EXTENSION TO ADDITIVE FUNCTIONS ON THE SET OF PAIRS OF INTEGERS -- MULTIPLICATIVE FUNCTIONS AND STOCHASTIC PROCESSES -- CONVOLUTIONS OF THE POISSON LAWS IN NUMBER THEORY -- SHIFTED PRIMES AND KUBILIUS MODELS -- THE DISTRIBUTION OF THE NUMBER OF PRIME DIVISORS OF NUMBERS OF FORM ab + 1 -- MULTIPLICATIVE FUNCTIONS OF FAREY FRACTIONS -- ON SOME INEQUALITIES IN THE PROBABILISTIC NUMBER THEORY -- THE ASYMPTOTICAL EXPANSION IN THE MEAN VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS -- LOCAL DISTRIBUTIONS OF ARITHMETIC FUNCTIONS ON SEMIGROUPS -- THE MEAN VALUES OF MULTIPLICATIVE FUNCTIONS. III -- ON THE CONVERGENCE TO THE POISSON LAW -- Part Six. PROBABILISTIC THEORY OF NUMBER SYSTEMS AND SERIES -- RENORMALIZATION OF ALGORITHMS IN THE PROBABILISTIC SENSE -- PROBABILISTIC THEORY OF ADDITIVE FUNCTIONS RELATED TO SYSTEMS OF NUMERATION -- ON LIMIT THEOREMS FOR ENDOMORPHISMS OF A. RÉNYI TYPE -- DENSITIES FOR SUMS OF INDEPENDENT RANDOM VARIABLES AND THEIR APPLICATIONS TO THE VALUE DISTRIBUTIONS OF Δ(x), P(x) AND ς(s) -- Part Seven. MISCELLANEOUS -- NOTE ON THE TRANSCENDENCE OF A GENERATING FUNCTION -- SOLUTION OF THE EQUATIONS OF DYNAMICAL CHAOS -- LOGISTIC DIFFERENTIAL EQUATION OF NEUTRAL TYPE -- A THEOREM OF MÜNTZ TYPE FOR CHEBYSHEV POLYNOMIALS -- COMPLETE SYSTEMS OF HOLOMORPHIC FUNCTIONS -- Programme of the Conference |
title_full |
New Trends in Probability and Statistics. Vol. 4, Analytic and Probabilistic Methods in Number Theory ; Proceedings of the Second International Conference in Honour of J. Kubilius, Palanga, Lithuania, 23–27 September 1996 / ed. by E. Laurincikas, E. Manstavicius, V. Stakenas. |
title_fullStr |
New Trends in Probability and Statistics. Vol. 4, Analytic and Probabilistic Methods in Number Theory ; Proceedings of the Second International Conference in Honour of J. Kubilius, Palanga, Lithuania, 23–27 September 1996 / ed. by E. Laurincikas, E. Manstavicius, V. Stakenas. |
title_full_unstemmed |
New Trends in Probability and Statistics. Vol. 4, Analytic and Probabilistic Methods in Number Theory ; Proceedings of the Second International Conference in Honour of J. Kubilius, Palanga, Lithuania, 23–27 September 1996 / ed. by E. Laurincikas, E. Manstavicius, V. Stakenas. |
title_auth |
New Trends in Probability and Statistics. |
title_alt |
i-iv -- CONTENTS -- PREFACE -- Part One. ALGEBRAIC NUMBER THEORY -- GEL’FOND’S TRANSCENDENCE METHOD BY ELEMENTARY MEANS -- ALGEBRAIC CONJUGATES OUTSIDE THE UNIT CIRCLE -- APPLICATIONS OF ALGEBRAIC UNITS -- ON SOME DIOPHANTINE EQUATIONS CONNECTED WITH PELLIAN EQUATION -- Part Two. QUADRATIC FORMS -- ON THE GENERAL UNIMPROVABLE ESTIMATES OF THE SINGULAR SERIES OF POSITIVE QUADRATIC FORMS -- ON THE REPRESENTATION OF NUMBERS BY CERTAIN QUADRATIC FORMS IN TEN VARIABLES -- Part Three. ZETA AND L-FUNCTIONS -- THE UNIVERSALITY THEOREM WITH WEIGHT FOR THE LERCH ZETA-FUNCTION -- THE GENERAL ADDITIVE DIVISOR PROBLEM AND MOMENTS OF THE ZETA-FUNCTION -- THE CORRESPONDENCE BETWEEN A DIRICHLET SERIES AND ITS COEFFICIENTS -- A NOTE ON THE MEAN SQUARE OF Ϛ(s) IN THE CRITICAL STRIP -- EXPLICIT FORMULAS AND ASYMPTOTIC EXPANSIONS FOR CERTAIN MEAN SQUARE OF HURWITZ ZETA-FUNCTIONS. II -- ON LIMIT DISTRIBUTION OF THE LERCH ZETA-FUNCTION -- THE FOURTH MOMENTS OF DIRICHLET SERIES -- Part Four. MULTIPLICATIVE NUMBER THEORY -- ESTIMATION OF A CERTAIN FUNCTION RELATED TO THE DIRICHLET DIVISOR PROBLEM -- ON SOME PAIRS OF MULTIPLICATIVE FUNCTIONS CORRELATED BY AN EQUATION -- A CHARACTERIZATION OF SOME ADDITIVE ARITHMETICAL FUNCTIONS -- ON PSEUDOSQUARES -- A REMARK ON SOME SPECIAL ARITHMETICAL FUNCTIONS -- MODIFIED ZETA FUNCTIONS AND THE NUMBER OF g-INTEGERS -- Part Five. VALUE DISTRIBUTION OF ARITHMETIC FUNCTIONS -- ON A CONJECTURE BY ERDÖS AND ITS EXTENSION TO ADDITIVE FUNCTIONS ON THE SET OF PAIRS OF INTEGERS -- MULTIPLICATIVE FUNCTIONS AND STOCHASTIC PROCESSES -- CONVOLUTIONS OF THE POISSON LAWS IN NUMBER THEORY -- SHIFTED PRIMES AND KUBILIUS MODELS -- THE DISTRIBUTION OF THE NUMBER OF PRIME DIVISORS OF NUMBERS OF FORM ab + 1 -- MULTIPLICATIVE FUNCTIONS OF FAREY FRACTIONS -- ON SOME INEQUALITIES IN THE PROBABILISTIC NUMBER THEORY -- THE ASYMPTOTICAL EXPANSION IN THE MEAN VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS -- LOCAL DISTRIBUTIONS OF ARITHMETIC FUNCTIONS ON SEMIGROUPS -- THE MEAN VALUES OF MULTIPLICATIVE FUNCTIONS. III -- ON THE CONVERGENCE TO THE POISSON LAW -- Part Six. PROBABILISTIC THEORY OF NUMBER SYSTEMS AND SERIES -- RENORMALIZATION OF ALGORITHMS IN THE PROBABILISTIC SENSE -- PROBABILISTIC THEORY OF ADDITIVE FUNCTIONS RELATED TO SYSTEMS OF NUMERATION -- ON LIMIT THEOREMS FOR ENDOMORPHISMS OF A. RÉNYI TYPE -- DENSITIES FOR SUMS OF INDEPENDENT RANDOM VARIABLES AND THEIR APPLICATIONS TO THE VALUE DISTRIBUTIONS OF Δ(x), P(x) AND ς(s) -- Part Seven. MISCELLANEOUS -- NOTE ON THE TRANSCENDENCE OF A GENERATING FUNCTION -- SOLUTION OF THE EQUATIONS OF DYNAMICAL CHAOS -- LOGISTIC DIFFERENTIAL EQUATION OF NEUTRAL TYPE -- A THEOREM OF MÜNTZ TYPE FOR CHEBYSHEV POLYNOMIALS -- COMPLETE SYSTEMS OF HOLOMORPHIC FUNCTIONS -- Programme of the Conference |
title_new |
New Trends in Probability and Statistics. |
title_sort |
new trends in probability and statistics. analytic and probabilistic methods in number theory ; proceedings of the second international conference in honour of j. kubilius, palanga, lithuania, 23–27 september 1996 / |
series |
New Trends in Probability and Statistics ; |
series2 |
New Trends in Probability and Statistics ; |
publisher |
De Gruyter, |
publishDate |
2012 |
physical |
1 online resource (501 p.) : 1 Frontispice and num. ill. Issued also in print. |
edition |
Reprint 2012 |
contents |
i-iv -- CONTENTS -- PREFACE -- Part One. ALGEBRAIC NUMBER THEORY -- GEL’FOND’S TRANSCENDENCE METHOD BY ELEMENTARY MEANS -- ALGEBRAIC CONJUGATES OUTSIDE THE UNIT CIRCLE -- APPLICATIONS OF ALGEBRAIC UNITS -- ON SOME DIOPHANTINE EQUATIONS CONNECTED WITH PELLIAN EQUATION -- Part Two. QUADRATIC FORMS -- ON THE GENERAL UNIMPROVABLE ESTIMATES OF THE SINGULAR SERIES OF POSITIVE QUADRATIC FORMS -- ON THE REPRESENTATION OF NUMBERS BY CERTAIN QUADRATIC FORMS IN TEN VARIABLES -- Part Three. ZETA AND L-FUNCTIONS -- THE UNIVERSALITY THEOREM WITH WEIGHT FOR THE LERCH ZETA-FUNCTION -- THE GENERAL ADDITIVE DIVISOR PROBLEM AND MOMENTS OF THE ZETA-FUNCTION -- THE CORRESPONDENCE BETWEEN A DIRICHLET SERIES AND ITS COEFFICIENTS -- A NOTE ON THE MEAN SQUARE OF Ϛ(s) IN THE CRITICAL STRIP -- EXPLICIT FORMULAS AND ASYMPTOTIC EXPANSIONS FOR CERTAIN MEAN SQUARE OF HURWITZ ZETA-FUNCTIONS. II -- ON LIMIT DISTRIBUTION OF THE LERCH ZETA-FUNCTION -- THE FOURTH MOMENTS OF DIRICHLET SERIES -- Part Four. MULTIPLICATIVE NUMBER THEORY -- ESTIMATION OF A CERTAIN FUNCTION RELATED TO THE DIRICHLET DIVISOR PROBLEM -- ON SOME PAIRS OF MULTIPLICATIVE FUNCTIONS CORRELATED BY AN EQUATION -- A CHARACTERIZATION OF SOME ADDITIVE ARITHMETICAL FUNCTIONS -- ON PSEUDOSQUARES -- A REMARK ON SOME SPECIAL ARITHMETICAL FUNCTIONS -- MODIFIED ZETA FUNCTIONS AND THE NUMBER OF g-INTEGERS -- Part Five. VALUE DISTRIBUTION OF ARITHMETIC FUNCTIONS -- ON A CONJECTURE BY ERDÖS AND ITS EXTENSION TO ADDITIVE FUNCTIONS ON THE SET OF PAIRS OF INTEGERS -- MULTIPLICATIVE FUNCTIONS AND STOCHASTIC PROCESSES -- CONVOLUTIONS OF THE POISSON LAWS IN NUMBER THEORY -- SHIFTED PRIMES AND KUBILIUS MODELS -- THE DISTRIBUTION OF THE NUMBER OF PRIME DIVISORS OF NUMBERS OF FORM ab + 1 -- MULTIPLICATIVE FUNCTIONS OF FAREY FRACTIONS -- ON SOME INEQUALITIES IN THE PROBABILISTIC NUMBER THEORY -- THE ASYMPTOTICAL EXPANSION IN THE MEAN VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS -- LOCAL DISTRIBUTIONS OF ARITHMETIC FUNCTIONS ON SEMIGROUPS -- THE MEAN VALUES OF MULTIPLICATIVE FUNCTIONS. III -- ON THE CONVERGENCE TO THE POISSON LAW -- Part Six. PROBABILISTIC THEORY OF NUMBER SYSTEMS AND SERIES -- RENORMALIZATION OF ALGORITHMS IN THE PROBABILISTIC SENSE -- PROBABILISTIC THEORY OF ADDITIVE FUNCTIONS RELATED TO SYSTEMS OF NUMERATION -- ON LIMIT THEOREMS FOR ENDOMORPHISMS OF A. RÉNYI TYPE -- DENSITIES FOR SUMS OF INDEPENDENT RANDOM VARIABLES AND THEIR APPLICATIONS TO THE VALUE DISTRIBUTIONS OF Δ(x), P(x) AND ς(s) -- Part Seven. MISCELLANEOUS -- NOTE ON THE TRANSCENDENCE OF A GENERATING FUNCTION -- SOLUTION OF THE EQUATIONS OF DYNAMICAL CHAOS -- LOGISTIC DIFFERENTIAL EQUATION OF NEUTRAL TYPE -- A THEOREM OF MÜNTZ TYPE FOR CHEBYSHEV POLYNOMIALS -- COMPLETE SYSTEMS OF HOLOMORPHIC FUNCTIONS -- Programme of the Conference |
isbn |
9783110944648 9783110637199 9789067642552 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA241 |
callnumber-sort |
QA 3241 A483 41997 |
genre_facet |
Congresses. |
url |
https://doi.org/10.1515/9783110944648 https://www.degruyter.com/isbn/9783110944648 https://www.degruyter.com/document/cover/isbn/9783110944648/original |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512/.7 |
dewey-sort |
3512 17 |
dewey-raw |
512/.7 |
dewey-search |
512/.7 |
doi_str_mv |
10.1515/9783110944648 |
oclc_num |
979754873 |
work_keys_str_mv |
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title_part_txt |
Analytic and Probabilistic Methods in Number Theory ; Proceedings of the Second International Conference in Honour of J. Kubilius, Palanga, Lithuania, 23–27 September 1996 / |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
is_hierarchy_title |
New Trends in Probability and Statistics. |
container_title |
Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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