Number Theoretic Methods: Future Trends - Developments in Mathematics Softcover reprint of hardcover 1st ed. 2003 edition

Marc Notes: Originally published: Dordrecht: Kluwer Academic, 2002.; Includes bibliographical references and index.; This volume contains various topics in number theory and provides the reader with an overvierw of current and future researches in the field. Table of Contents: Preface. A limiting form of the q Dixon 4pi3 summation and related partition identities; K. Alladi, A. Berkovich. Arithmetical properties of solutions of linear second order q-difference equations; M. Amou, T. Matala-aho. Ramanujan's contributions to Eisenstein series, especially in his lost notebook; B. C. Berndt, Ae Ja Yee. New applications as a result of Galochkin on linear independence; P. Bundschuh. Partitions, modulo prime powers and binomial coefficients; Tianxin Cai. Infinite sums, diophantine equations and Fermat's last theorem; H. Darmon, C. Levesque. On the nature of the 'explicit formulas' in analytic number theory a simple example; C. Deninger. Product representations by rationals; P. D. T. A. Elliott. On the distribution of alphaP modulo 1; Chaohua Jia. Ramanujan's formula and modular forms; S. Kanemitsu, Y. Tanigawa, M. Yoshimoto. Waldspurger's formula and central critical values of L-functions of newforms in weight aspect; W. Kohnen, J. Sengupta. Primitive roots: a survey; Shuguang Li, C. Pomerance. Zeta-functions defined by two polynomials; K. Matsumoto, Lin Weng. Some aspects on interactions between algebraic number theory and analytic number theory; K. Miyake. On G-functions and Pade approximations; M. Nagata. A penultimate step toward cubic theta-Weyl sums; Y. Nakai. Some results in view of Nevanlinna theory; J. Noguchi. A historical comment about the GVT in short interval; Pan Chingbiao. Convexity and intersection of random spaces; M. Shcherbina, B. Tirozzi. Generalized hypergeometric series and the symmetries of 3-J and 6-J coefficients; Stability and new non-Abelian zeta functions; Lin Weng. A hybrid mean value of L-functions and general quadratic Gauss sums; ZhangWenpeng. Index."Publisher Marketing: This volume contains various topics in number theory and provides the reader with an overvierw of current and future researches in the field.