Trigonometric Sums in Number Theory and Analysis /

Trigonometric Sums in Number Theory and Analysis / / Gennady I. Arkhipov, Anatoly A. Karatsuba, Vladimir N. Chubarikov.

Das Buch stellt die von den Autoren entwickelte Theorie der mehrfachen trigonometrischen Summen vor. Einem integrierten Ansatz folgend, erhalten die Autoren Abschätzungen für diese Summen, vergleichbar den klassischen Abschätzungen von I. M. Vinogradov, und verwenden diese, um verschiedene Probleme...

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Superior document:Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
VerfasserIn:
Arkhipov, Gennady I.,
Chubarikov, Vladimir N.,
Karatsuba, Anatoly A.,
MitwirkendeR:
Shishkova, Maria,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2008]
©2004
Year of Publication:2008
Language:English
Series:De Gruyter Expositions in Mathematics , 39
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Physical Description:1 online resource (554 p.)
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ctrlnum (DE-B1597)32311
(OCoLC)979969285
collection bib_alma
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spelling Arkhipov, Gennady I., author. aut http://id.loc.gov/vocabulary/relators/aut
Trigonometric Sums in Number Theory and Analysis / Gennady I. Arkhipov, Anatoly A. Karatsuba, Vladimir N. Chubarikov.
Berlin ; Boston : De Gruyter, [2008]
©2004
1 online resource (554 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Expositions in Mathematics , 0938-6572 ; 39
Frontmatter -- Contents -- Chapter 1. Trigonometric integrals -- Chapter 2. Rational trigonometric sums -- Chapter 3. Weyl sums -- Chapter 4. Mean value theorems for multiple -- trigonometric sums -- Chapter 5. Estimates for multiple trigonometric -- sums -- Chapter 6. Several applications -- Chapter 7. Special cases of the theory of multiple -- trigonometric sums -- Chapter 8. The Hilbert-Kamke problem and its -- generalizations -- Chapter 9. The p-adic method in three problems of -- number theory -- Chapter 10. Estimates of multiple trigonometric -- sums with prime numbers -- Chapter 11. Some applications of trigonometric sums -- and integrals -- Chapter 12. Short Kloosterman sums -- Backmatter
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Das Buch stellt die von den Autoren entwickelte Theorie der mehrfachen trigonometrischen Summen vor. Einem integrierten Ansatz folgend, erhalten die Autoren Abschätzungen für diese Summen, vergleichbar den klassischen Abschätzungen von I. M. Vinogradov, und verwenden diese, um verschiedene Probleme der analytischen Zahlentheorie zu lösen. Sie untersuchen trigonometrische Integrale, die häufig in der Physik, der mathematischen Statistik und der Analysis anzutreffen sind, und präsentieren rein arithmetische Ergebnisse, die die Lösbarkeit von Gleichungen in ganzen Zahlen betreffen.
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov´s estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and in addition they present purely arithmetic results concerning the solvability of equations in integers.
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 28. Feb 2023)
Trigonometric sums.
Additive Zahlentheorie.
Analytische Zahlentheorie.
Waringsches Problem.
MATHEMATICS / General. bisacsh
Chubarikov, Vladimir N., author. aut http://id.loc.gov/vocabulary/relators/aut
Karatsuba, Anatoly A., author. aut http://id.loc.gov/vocabulary/relators/aut
Shishkova, Maria, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package 9783110494969 ZDB-23-EXM
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008 9783110212129 ZDB-23-DGG
Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008 9783110212136
Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008 9783110209082 ZDB-23-DMN
print 9783110162660
https://doi.org/10.1515/9783110197983
https://www.degruyter.com/isbn/9783110197983
Cover https://www.degruyter.com/document/cover/isbn/9783110197983/original
language English
format eBook
author Arkhipov, Gennady I.,
Arkhipov, Gennady I.,
Chubarikov, Vladimir N.,
Karatsuba, Anatoly A.,
spellingShingle Arkhipov, Gennady I.,
Arkhipov, Gennady I.,
Chubarikov, Vladimir N.,
Karatsuba, Anatoly A.,
Trigonometric Sums in Number Theory and Analysis /
De Gruyter Expositions in Mathematics ,
Frontmatter --
Contents --
Chapter 1. Trigonometric integrals --
Chapter 2. Rational trigonometric sums --
Chapter 3. Weyl sums --
Chapter 4. Mean value theorems for multiple --
trigonometric sums --
Chapter 5. Estimates for multiple trigonometric --
sums --
Chapter 6. Several applications --
Chapter 7. Special cases of the theory of multiple --
Chapter 8. The Hilbert-Kamke problem and its --
generalizations --
Chapter 9. The p-adic method in three problems of --
number theory --
Chapter 10. Estimates of multiple trigonometric --
sums with prime numbers --
Chapter 11. Some applications of trigonometric sums --
and integrals --
Chapter 12. Short Kloosterman sums --
Backmatter
author_facet Arkhipov, Gennady I.,
Arkhipov, Gennady I.,
Chubarikov, Vladimir N.,
Karatsuba, Anatoly A.,
Chubarikov, Vladimir N.,
Chubarikov, Vladimir N.,
Karatsuba, Anatoly A.,
Karatsuba, Anatoly A.,
Shishkova, Maria,
Shishkova, Maria,
author_variant g i a gi gia
g i a gi gia
v n c vn vnc
a a k aa aak
author_role VerfasserIn
VerfasserIn
VerfasserIn
VerfasserIn
author2 Chubarikov, Vladimir N.,
Chubarikov, Vladimir N.,
Karatsuba, Anatoly A.,
Karatsuba, Anatoly A.,
Shishkova, Maria,
Shishkova, Maria,
author2_variant v n c vn vnc
a a k aa aak
m s ms
m s ms
author2_role VerfasserIn
VerfasserIn
VerfasserIn
VerfasserIn
MitwirkendeR
MitwirkendeR
author_sort Arkhipov, Gennady I.,
title Trigonometric Sums in Number Theory and Analysis /
title_full Trigonometric Sums in Number Theory and Analysis / Gennady I. Arkhipov, Anatoly A. Karatsuba, Vladimir N. Chubarikov.
title_fullStr Trigonometric Sums in Number Theory and Analysis / Gennady I. Arkhipov, Anatoly A. Karatsuba, Vladimir N. Chubarikov.
title_full_unstemmed Trigonometric Sums in Number Theory and Analysis / Gennady I. Arkhipov, Anatoly A. Karatsuba, Vladimir N. Chubarikov.
title_auth Trigonometric Sums in Number Theory and Analysis /
title_alt Frontmatter --
Contents --
Chapter 1. Trigonometric integrals --
Chapter 2. Rational trigonometric sums --
Chapter 3. Weyl sums --
Chapter 4. Mean value theorems for multiple --
trigonometric sums --
Chapter 5. Estimates for multiple trigonometric --
sums --
Chapter 6. Several applications --
Chapter 7. Special cases of the theory of multiple --
Chapter 8. The Hilbert-Kamke problem and its --
generalizations --
Chapter 9. The p-adic method in three problems of --
number theory --
Chapter 10. Estimates of multiple trigonometric --
sums with prime numbers --
Chapter 11. Some applications of trigonometric sums --
and integrals --
Chapter 12. Short Kloosterman sums --
Backmatter
title_new Trigonometric Sums in Number Theory and Analysis /
title_sort trigonometric sums in number theory and analysis /
series De Gruyter Expositions in Mathematics ,
series2 De Gruyter Expositions in Mathematics ,
publisher De Gruyter,
publishDate 2008
physical 1 online resource (554 p.)
Issued also in print.
contents Frontmatter --
Contents --
Chapter 1. Trigonometric integrals --
Chapter 2. Rational trigonometric sums --
Chapter 3. Weyl sums --
Chapter 4. Mean value theorems for multiple --
trigonometric sums --
Chapter 5. Estimates for multiple trigonometric --
sums --
Chapter 6. Several applications --
Chapter 7. Special cases of the theory of multiple --
Chapter 8. The Hilbert-Kamke problem and its --
generalizations --
Chapter 9. The p-adic method in three problems of --
number theory --
Chapter 10. Estimates of multiple trigonometric --
sums with prime numbers --
Chapter 11. Some applications of trigonometric sums --
and integrals --
Chapter 12. Short Kloosterman sums --
Backmatter
isbn 9783110197983
9783110494969
9783110637205
9783110212129
9783110212136
9783110209082
9783110162660
issn 0938-6572 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA246
callnumber-sort QA 3246.8 T75 A75 42004EB
url https://doi.org/10.1515/9783110197983
https://www.degruyter.com/isbn/9783110197983
https://www.degruyter.com/document/cover/isbn/9783110197983/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 512 - Algebra
dewey-full 512.7
dewey-sort 3512.7
dewey-raw 512.7
dewey-search 512.7
doi_str_mv 10.1515/9783110197983
oclc_num 979969285
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008
Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008
Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008
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