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

Shigeru Kanemitsu, Hongze Li, Jianya Liu (Herausgeber)

Buch | Hardcover

272 Seiten

2013
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4452-44-1 (ISBN)

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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.

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).

Erscheint lt. Verlag	15.4.2013
Reihe/Serie	Series on Number Theory and Its Applications ; 8
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-4452-44-0 / 9814452440
ISBN-13	978-981-4452-44-1 / 9789814452441
Zustand	Neuware