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E-raamat: Number Theory: Arithmetic in Shangri-La: Proceedings of the 6th China - Japan Seminar [World Scientific e-raamat]

Edited by (Henan Suda Electric Vehicle Technology Co., Ltd., China & Kyushu Inst Of Technology, Japan & Shandong Univ, China), Edited by (Shanghai Jiao Tong Univ, China), Edited by (Shandong Univ, China)
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  • World Scientific e-raamat
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Teised raamatud teemal:
This volume is based on the successful 6th China–Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory — additive problems, divisor problems, Diophantine equations — to elliptic curves and automorphic L-functions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series.
Preface v
On Jacobi Forms with Levels
1(16)
Hiroki Aoki
Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review
17(60)
Jorg Brudern
Koichi Kawada
Trevor D. Wooley
Annexe to the Gallery: An Addendum to "Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review"
77(6)
Jorg Brudern
Koichi Kawada
Trevor D. Wooley
A Note on the Distribution of Primes in Arithmetic Progressions
83(7)
Zhen Cui
Boqing Xue
Matrices of Finite Abelian Groups, Finite Fourier Transform and Codes
90(17)
Shigeru Kanemitsu
Michel Waldschmidt
A Remark on a Result of Eichler
107(9)
Yoshiyuki Kitaoka
On Weyl Sums over Primes in Short Intervals
116(16)
Angel V. Kumchev
On Congruences for Certain Binomial Coefficients of E. Lehmer's Type
132(9)
Takako Kuzumaki
Jerzy Urbanowicz
Sign Changes of the Coefficients of Automorphic L-Functions
141(41)
Yuk-Kam Lau
Jianya Liu
Jie Wu
On Fourier Coefficients of Automorphic Forms
182(19)
Guangshi Lu
The Twists of Hessian Elliptic Curves over Splitting Fields of Cubic Polynomials and the Related Elliptic 3-Folds
201(12)
Katsuya Miyake
Asymptotic Voronoi's Summation Formulas and Their Duality for SL3(Z)
213(24)
Xiumin Ren
Yangbo Ye
Jerzy Urbanowicz's Work in Pure Mathematics
237(7)
Andrzej Schinzel
Conjectures Involving Arithmetical Sequences
244(15)
Zhi-Wei Sun
Index 259