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OverviewThis book contains various topics in number theory and provides the reader with an overvierw of current and future researches in the field. Audience: Researchers and graduate students in number theory, enthusiastic amateurs and undergraduate students who have some basic knowledge in mathematics. Full Product DetailsAuthor: Shigeru Kanemitsu , Chaohua JiaPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2003 ed. Volume: 8 Dimensions: Width: 15.60cm , Height: 2.50cm , Length: 23.40cm Weight: 1.810kg ISBN: 9781402010804ISBN 10: 140201080 Pages: 441 Publication Date: 31 December 2002 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsA limiting form of the q-Dixon 4?3 summation and related partition identities.- Arithmetical properties of solutions of linear second order q-difference equations.- Ramanujan’s Contributions to Eisenstein Series, Especially in His Lost Notebook.- New Applications of a Result of Galochkin on Linear Independence.- Partitions modulo prime powers and binomial coefficients.- Infinite sums, diophantine equations and Fermat’s last theorem.- On the nature of the “explicit formulas” in analytic number theory — a simple example.- Product representations by rationals.- On the distribution of ?P modulo 1.- Ramanujan’s formula and modular forms.- Waldspurger’s formula and central critical values of L-functions of newforms in weight aspect.- Primitive roots: a survey.- Zeta-Functions Defined by Two Polynomials.- Some Aspects on Interactions between Algebraic Number Theory and Analytic Number Theory.- On G-functions and Padé approximations.- A penultimate step toward cubic theta-Weyl sums.- Some Results in view of Nevanlinna Theory.- A Historical Comment about the GVT in Short Interval.- Convexity and Intersection of Random Spaces.- Generalized hypergeometric series and the symmetries of 3-j and 6-j coefficients.- Stability and New Non-Abelian Zeta Functions.- A hybrid mean value of L-functions and general quadratic Gauss sums.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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