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Full Description
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.
Contents
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 SL3(ℤ) (Xiumin Ren and Yangbo Ye); Jerzy Urbanowicz's Work in Pure Mathematics (Andrzej Schinzel); Conjectures Involving Arithmetical Sequences (Zhi-Wei Sun).
