Number Theory

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...
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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 "(Jörg Brüdern, Koichi Kawada and Trevor D Wooley)"Annexe to the Gallery: An Addendum to “Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review” "(Jörg Brüdern, 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 Lü)"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"3(ℤ) "(Xiumin Ren and Yangbo Ye)"Jerzy Urbanowicz's Work in Pure Mathematics "(Andrzej Schinzel)"Conjectures Involving Arithmetical Sequences "(Zhi-Wei Sun)"
Readership: Graduate students and researchers in number theory.