Number Theory: Arithmetic In Shangri-la - Proceedings Of The 6th China-japan Seminar

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.

List of contents

On Jacobi Forms with Levels (H Aoki); Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review (Brudern, Kawada, Wooley); A Note on the Distribution of Primes in Arithmetic Progression (Z Cui and B-Q Xue); Matrices of Finite Abelian Groups, Finite Fourier Transform and Codes (S Kanemitsu and M Waldschmidt); A Remark on a Result of Eichler (Y Kitaoka); Weyl Sums over Primes in Short Intervals (A Kumchev); On Congruences for Certain Binomial Coefficients of E Lehmer's Type (T Kuzumaki and J Urbanowicz); Sign Changes of the Coefficients of Automorphic L-functions (Y-K Lau, J-Y Liu and J Wu); On Fourier Coefficients of Automorphic Forms (G-X Lu); The Twists of Hessian Elliptic Curves over Splitting Fields of Cubic Polynomials and the Related Elliptic 3-Folds (K Miyake); Asymptotic Voronoi's Summation Formula and Their Duality for SL_3? (X-M Ren and Y-B Ye); Jerzy Urbanowicz's Publications on Pure Mathematics (A Schinzel); Conjectures Involving Combinatorial Sequences (Z-W Sun).

Product details

• Authors: Shigeru Kanemitsu, Hongze Li & Jianya Li Shigeru Kanemitsu
• Assisted by: Shigeru Kanemitsu (Editor), Kanemitsu Shigeru (Editor), Hongze Li (Editor), Li Hongze (Editor), Jianya Liu (Editor), Liu Jianya (Editor)
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Hardback
• Released: 15.04.2013
• EAN: 9789814452441
• ISBN: 978-981-4452-44-1
• Series: Series on Number Theory and Its Applications; Number Theory and Its Applicat
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Number Systems, MATHEMATICS / Geometry / Algebraic, Algebraic Geometry, Number systems