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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: Softcover reprint of hardcover 1st ed. 2003 Volume: 8 Dimensions: Width: 15.50cm , Height: 2.30cm , Length: 23.50cm Weight: 0.694kg ISBN: 9781441952394ISBN 10: 144195239 Pages: 441 Publication Date: 07 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. 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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