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<図書>
Topics in number theory : in honor of B. Gordon and S. Chowla

責任表示 edited by Scott D. Ahlgren, George E. Andrews and Ken Ono
シリーズ Mathematics and its applications ; v. 467
データ種別 図書
出版者 Dordrecht ; Boston, MA : Kluwer Academic Publishers
出版年 c1999
本文言語 英語
大きさ viii, 258 p. ; 25 cm
概要 The proceedings of the August 1997 conference contains 17 research papers reporting recent, significant work in many areas of number theory. The contributions from three of the plenary speakers are t...tled: motivating the multiplicative spectrum, modular Mahler measures, and the role of additive number theory in diophantine problems in many variable. Other topics are a fundamental invariant in the theory of partitions, a new minor-arcs estimate for number fields, Hecke characters and formal group characters, theorems and conjectures involving rook polynomials with only real zeros, and the divisibility of the specialization map for twists of abelian varieties. No index. Annotation copyrighted by Book News, Inc., Portland, OR続きを見る
目次 Machine generated contents note: Preface
G.Andrews vii
Motivating the multiplicative spectrum
A.Granville and K.Soundararajan 1
Modular Mahler measures I
F.Rodriguez Villegas 17
Diophantine problems in many variables: The role of additive number
theory
T.Wooley 49
Equations F(x, y, a) = 0
S.Ahlgren 585
A fundamental invariant in the theory of partitions
K .Alladi 101
Congruence properties of values of L-functions and applications
J.Bruinier, K.James, W.Kohnen, K.Ono, C.Skinner, and V.Vatsal 115
On Tschirnhaus transformations
J.Buhler and Z.Reichstein 127
Hecke operators and the nonvanishing of L-functions
J.B.Conrey and D.W.Farmer 143
A new minor-arcs estimate for number fields
M .Davidson 151
Modular functions, Maple and Andrews' tenth problem
F.Garvan 163
Hecke characters and formal group characters
L.Guo181
On certain Gauss periods with common decomposition field
S.Gurak 193
Theorems and conjectures involving rook polynomials with only real
zeros
J.Haglund, K.Ono, and D.Wagner 207
An example of an elliptic curve with a positive density of prime quadratic
twists which have rank zero
K.James 223
Exponents of class groups of quadratic fields
M.R.Murty 229
A local-global principle for densities
B.Poonen and M.Stoll 241
Divisibility of the specialization map for twists of abelian varieties
J.Silverman 245.
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所蔵情報


理系図3F 数理独自 023211999006481 P 99/TOPI/2 1999

書誌詳細

一般注記 Papers from the Topics in Number Theory Conference held July 31-Aug. 3, 1997, at the Pennsylvania State University
Includes bibliographical references
著者標目 Gordon, Basil
Chowla, S. (Sarvadaman), 1907-
Ahlgren, Scott D
Andrews, George E., 1938-
Ono, Ken
Topics in Number Theory Conference (1997 : Pennsylvania State University)
件 名 LCSH:Number theory -- Congresses  全ての件名で検索
分 類 LCC:QA241
DC21:512/.7
書誌ID 1001404410
ISBN 0792355830
NCID BA41133020
巻冊次 ISBN:0792355830
登録日 2009.11.02
更新日 2009.11.02

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