Number Theory : : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / / ed. by Matti Jutila, Tauno Metsänkylä.
These Proceedings contain 22 refereed research and survey articles based on lectures given at the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, held in Turku, Finland, from May 31 to June 4, 1999. The subject of the symposium was number theory in a broad sense with an emphasis on rece...
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Year of Publication: | 2014 |
Edition: | Reprint 2013 |
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Number Theory : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / ed. by Matti Jutila, Tauno Metsänkylä. Reprint 2013 Berlin ; Boston : De Gruyter, [2014] ©2001 1 online resource (328 p.) : 1 Frontispiz text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Proceedings in Mathematics Frontmatter -- Preface -- Table of Contents -- On the life and work of Kustaa Inkeri -- On the values of certain q-hypergeometric series -- On the Diophantine equation -- Arithmetical properties of the solutions of certain functional equations -- Multiple zeta sums via box splines -- Galois representations attached to elliptic curves and diophantine problems -- One-sided sifting density hypotheses in Selberg's sieve -- On characterizations of completely multiplicative arithmetical functions -- A note on the power residue symbol -- Exponential sums with a large second derivative -- Some mean value results for the Riemann zeta-function -- Direct proofs of some of Euler's results -- The fourth moment of central values of Hecke series -- The universality of Dirichlet series attached to finite Abelian groups -- An irrationality criterion for p-adic binomial series -- The mean values and the universality of Rankin-Selberg L-functions -- On the binary additive divisor problem -- Catalan's equation just before 2000 -- New analytic problems over imaginary quadratic number fields -- On number theory and Kustaa Inkeri -- On Lucas sequence terms of the form kx2 -- Stark's question and Popescu's conjecture for abelian L-functions -- Partial Pell numbers -- List of participants restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star These Proceedings contain 22 refereed research and survey articles based on lectures given at the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, held in Turku, Finland, from May 31 to June 4, 1999. The subject of the symposium was number theory in a broad sense with an emphasis on recent advances and modern methods. The topics covered in this volume include various questions in elementary number theory, new developments in classical Diophantine problems - in particular of the Fermat and Catalan type, the ABC-conjecture, arithmetic algebraic geometry, elliptic curves, Diophantine approximations, Abelian fields, exponential sums, sieve methods, box splines, the Riemann zeta-function and other Dirichlet series, and the spectral theory of automorphic functions with its arithmetical applications. 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. Nov 2021) Mathematics Algebra and Number Theory. Number theory Congresses. Kongress. Turku ‹1999›. Zahlentheorie. MATHEMATICS / General. bisacsh Amou, Masaaki, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bugeaud, Yann, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bundschuh, Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dilcher, Karl, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Frey, Gerhard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Greaves, George, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Haller, Kirk, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Haukkanen, Peniti, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Helou, Charles, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Huxley, Martin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ivić, Aleksandar, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jackson, Terence, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jutila, Matti, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jutila, Matti, editor. edt http://id.loc.gov/vocabulary/relators/edt Katsurada, Masanori, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kolesnik, Grigori, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Laurinčikas, Antanas, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Matala-aho, Tapani, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Matsumoto, Kohji, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb McDaniel, Wayne L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Metsänkylä, Tauno, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Metsänkylä, Tauno, editor. edt http://id.loc.gov/vocabulary/relators/edt Meurman, Tom, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mignotte, Maurice, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Motohashi, Yoichi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ribenboim, Paulo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sands, Jonathan W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Strazdins, Indulis, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vaananen, Keijo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb van der Poorten, Alfred J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA print 9783110164817 https://doi.org/10.1515/9783110870923 https://www.degruyter.com/isbn/9783110870923 Cover https://www.degruyter.com/document/cover/isbn/9783110870923/original |
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author_facet |
Amou, Masaaki, Amou, Masaaki, Bugeaud, Yann, Bugeaud, Yann, Bundschuh, Peter, Bundschuh, Peter, Dilcher, Karl, Dilcher, Karl, Frey, Gerhard, Frey, Gerhard, Greaves, George, Greaves, George, Haller, Kirk, Haller, Kirk, Haukkanen, Peniti, Haukkanen, Peniti, Helou, Charles, Helou, Charles, Huxley, Martin, Huxley, Martin, Ivić, Aleksandar, Ivić, Aleksandar, Jackson, Terence, Jackson, Terence, Jutila, Matti, Jutila, Matti, Jutila, Matti, Jutila, Matti, Katsurada, Masanori, Katsurada, Masanori, Kolesnik, Grigori, Kolesnik, Grigori, Laurinčikas, Antanas, Laurinčikas, Antanas, Matala-aho, Tapani, Matala-aho, Tapani, Matsumoto, Kohji, Matsumoto, Kohji, McDaniel, Wayne L., McDaniel, Wayne L., Metsänkylä, Tauno, Metsänkylä, Tauno, Metsänkylä, Tauno, Metsänkylä, Tauno, Meurman, Tom, Meurman, Tom, Mignotte, Maurice, Mignotte, Maurice, Motohashi, Yoichi, Motohashi, Yoichi, Ribenboim, Paulo, Ribenboim, Paulo, Sands, Jonathan W., Sands, Jonathan W., Strazdins, Indulis, Strazdins, Indulis, Vaananen, Keijo, Vaananen, Keijo, van der Poorten, Alfred J., van der Poorten, Alfred J., |
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Amou, Masaaki, |
title |
Number Theory : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / |
spellingShingle |
Number Theory : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / De Gruyter Proceedings in Mathematics Frontmatter -- Preface -- Table of Contents -- On the life and work of Kustaa Inkeri -- On the values of certain q-hypergeometric series -- On the Diophantine equation -- Arithmetical properties of the solutions of certain functional equations -- Multiple zeta sums via box splines -- Galois representations attached to elliptic curves and diophantine problems -- One-sided sifting density hypotheses in Selberg's sieve -- On characterizations of completely multiplicative arithmetical functions -- A note on the power residue symbol -- Exponential sums with a large second derivative -- Some mean value results for the Riemann zeta-function -- Direct proofs of some of Euler's results -- The fourth moment of central values of Hecke series -- The universality of Dirichlet series attached to finite Abelian groups -- An irrationality criterion for p-adic binomial series -- The mean values and the universality of Rankin-Selberg L-functions -- On the binary additive divisor problem -- Catalan's equation just before 2000 -- New analytic problems over imaginary quadratic number fields -- On number theory and Kustaa Inkeri -- On Lucas sequence terms of the form kx2 -- Stark's question and Popescu's conjecture for abelian L-functions -- Partial Pell numbers -- List of participants |
title_sub |
Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / |
title_full |
Number Theory : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / ed. by Matti Jutila, Tauno Metsänkylä. |
title_fullStr |
Number Theory : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / ed. by Matti Jutila, Tauno Metsänkylä. |
title_full_unstemmed |
Number Theory : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / ed. by Matti Jutila, Tauno Metsänkylä. |
title_auth |
Number Theory : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / |
title_alt |
Frontmatter -- Preface -- Table of Contents -- On the life and work of Kustaa Inkeri -- On the values of certain q-hypergeometric series -- On the Diophantine equation -- Arithmetical properties of the solutions of certain functional equations -- Multiple zeta sums via box splines -- Galois representations attached to elliptic curves and diophantine problems -- One-sided sifting density hypotheses in Selberg's sieve -- On characterizations of completely multiplicative arithmetical functions -- A note on the power residue symbol -- Exponential sums with a large second derivative -- Some mean value results for the Riemann zeta-function -- Direct proofs of some of Euler's results -- The fourth moment of central values of Hecke series -- The universality of Dirichlet series attached to finite Abelian groups -- An irrationality criterion for p-adic binomial series -- The mean values and the universality of Rankin-Selberg L-functions -- On the binary additive divisor problem -- Catalan's equation just before 2000 -- New analytic problems over imaginary quadratic number fields -- On number theory and Kustaa Inkeri -- On Lucas sequence terms of the form kx2 -- Stark's question and Popescu's conjecture for abelian L-functions -- Partial Pell numbers -- List of participants |
title_new |
Number Theory : |
title_sort |
number theory : proceedings of the turku symposium on number theory in memory of kustaa inkeri, may 31-june 4, 1999 / |
series |
De Gruyter Proceedings in Mathematics |
series2 |
De Gruyter Proceedings in Mathematics |
publisher |
De Gruyter, |
publishDate |
2014 |
physical |
1 online resource (328 p.) : 1 Frontispiz |
edition |
Reprint 2013 |
contents |
Frontmatter -- Preface -- Table of Contents -- On the life and work of Kustaa Inkeri -- On the values of certain q-hypergeometric series -- On the Diophantine equation -- Arithmetical properties of the solutions of certain functional equations -- Multiple zeta sums via box splines -- Galois representations attached to elliptic curves and diophantine problems -- One-sided sifting density hypotheses in Selberg's sieve -- On characterizations of completely multiplicative arithmetical functions -- A note on the power residue symbol -- Exponential sums with a large second derivative -- Some mean value results for the Riemann zeta-function -- Direct proofs of some of Euler's results -- The fourth moment of central values of Hecke series -- The universality of Dirichlet series attached to finite Abelian groups -- An irrationality criterion for p-adic binomial series -- The mean values and the universality of Rankin-Selberg L-functions -- On the binary additive divisor problem -- Catalan's equation just before 2000 -- New analytic problems over imaginary quadratic number fields -- On number theory and Kustaa Inkeri -- On Lucas sequence terms of the form kx2 -- Stark's question and Popescu's conjecture for abelian L-functions -- Partial Pell numbers -- List of participants |
isbn |
9783110870923 9783110238570 9783110238471 9783110637205 9783110164817 |
genre_facet |
Congresses. |
url |
https://doi.org/10.1515/9783110870923 https://www.degruyter.com/isbn/9783110870923 https://www.degruyter.com/document/cover/isbn/9783110870923/original |
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Not Illustrated |
doi_str_mv |
10.1515/9783110870923 |
oclc_num |
979970225 |
work_keys_str_mv |
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Number Theory : Proceedings of the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, May 31-June 4, 1999 / |
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characterizations of completely multiplicative arithmetical functions -- </subfield><subfield code="t">A note on the power residue symbol -- </subfield><subfield code="t">Exponential sums with a large second derivative -- </subfield><subfield code="t">Some mean value results for the Riemann zeta-function -- </subfield><subfield code="t">Direct proofs of some of Euler's results -- </subfield><subfield code="t">The fourth moment of central values of Hecke series -- </subfield><subfield code="t">The universality of Dirichlet series attached to finite Abelian groups -- </subfield><subfield code="t">An irrationality criterion for p-adic binomial series -- </subfield><subfield code="t">The mean values and the universality of Rankin-Selberg L-functions -- </subfield><subfield code="t">On the binary additive divisor problem -- </subfield><subfield code="t">Catalan's equation just before 2000 -- </subfield><subfield code="t">New analytic problems over imaginary quadratic number fields -- </subfield><subfield code="t">On number theory and Kustaa Inkeri -- </subfield><subfield code="t">On Lucas sequence terms of the form kx2 -- </subfield><subfield code="t">Stark's question and Popescu's conjecture for abelian L-functions -- </subfield><subfield code="t">Partial Pell numbers -- </subfield><subfield code="t">List of participants</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">These Proceedings contain 22 refereed research and survey articles based on lectures given at the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, held in Turku, Finland, from May 31 to June 4, 1999. The subject of the symposium was number theory in a broad sense with an emphasis on recent advances and modern methods. The topics covered in this volume include various questions in elementary number theory, new developments in classical Diophantine problems - in particular of the Fermat and Catalan type, the ABC-conjecture, arithmetic algebraic geometry, elliptic curves, Diophantine approximations, Abelian fields, exponential sums, sieve methods, box splines, the Riemann zeta-function and other Dirichlet series, and the spectral theory of automorphic functions with its arithmetical applications.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. 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