Number theory : arithmetic in Shangri-La : proceedings of the 6th China-Japan Seminar, Shanghai, China, 15-17 August 2011
著者
書誌事項
Number theory : arithmetic in Shangri-La : proceedings of the 6th China-Japan Seminar, Shanghai, China, 15-17 August 2011
(Series on number theory and its applications / series editor, Shigeru Kanemitsu, v. 8)
World Scientific, c2013
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注記
"This present volume is the proceedings of the 6th China-Japan Seminar on Number Theory 'Arithmetic in Shangri-La'".--Pref
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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( ) (Xiumin Ren and Yangbo Ye)
- Jerzy Urbanowicz's Work in Pure Mathematics (Andrzej Schinzel)
- Conjectures Involving Arithmetical Sequences (Zhi-Wei Sun).
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