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.
Readership: Graduate students and researchers in number theory
Author(s): Kanemitsu, Shigeru; Li, Hongze; Liu, Jianya (eds)
Series: Series on number theory and its applications 8
Edition: 1
Publisher: World Scientific Publishing Company
Year: 2013
Language: English
Pages: 260
City: Hackensack, NJ, Shanghai, China), Singapore
Tags: Математика;Теория чисел;
Content: On Jacobi forms with levels / Hiroki Aoki --
Additive representation in thin sequences, VIII: Diophantine inequalities in review / Jorg Brudern, Koichi Kawada and Trevor D. Wooley --
Annexe to the gallery: an addendum to "Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review" / Jorg Brudern, Koichi Kawada and Trevor D. Wooley --
A Note on the distribution of primes in arithmetic progressions / Zhen Cui and Boqing Xue --
Matrices of finite abelian groups, Finite Fourier Transform and codes / Shigeru Kanemitsu and Michel Waldschmidt --
A remark on a result of Eichler / Yoshiyuki Kitaoka --
On Weyl sums over primes in short intervals / Angel V. Kumchev --
On congruences for certain binomial coefficients of E. Lehmer's type / Takako Kuzumaki and Jerzy Urbanowicz --
Sign changes of the coefficients of automorphic L-functions / Yuk-Kam Lau, Jianya Liu and Jie Wu --
On Fourier coefficients of automorphic forms / Guangshi Lu --
The twists of Hessian elliptic curves over splitting fields of cubic polynomials and the related elliptic 3-folds / Katsuya Miyake --
Asymptotic Voronoi's summation formulas and their duality for SL[symbol] / Xiumin Ren and Yangbo Ye --
Jerzy Urbanowicz's work in pure mathematics / Andrzej Schinzel --
Conjectures involving arithmetical sequences / Zhi-Wei Sun.
