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OverviewThe book includes several survey articles on prime numbers, divisor problems, and Diophantine equations, as well as research papers on various aspects of analytic number theory such as additive problems, Diophantine approximations and the theory of zeta and L-function. Audience: Researchers and graduate students interested in recent development of number theory. Full Product DetailsAuthor: Chaohua Jia , Kohji MatsumotoPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2002 ed. Volume: 6 Dimensions: Width: 15.50cm , Height: 2.30cm , Length: 23.50cm Weight: 1.710kg ISBN: 9781402005459ISBN 10: 1402005458 Pages: 408 Publication Date: 31 March 2002 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational 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 Contents1 On analytic continuation of multiple L-functions and related zetafunctions.- 2 On the values of certain q-hypergeometric series II.- 3 The class number one problem for some non-normal sextic CM-fields.- 4 Ternary problems in additive prime number theory.- 5 A generalization of E. Lehmer’s congruence and its applications.- 6 On Chen’s theorem.- 7 On a twisted power mean of L(1, ?).- 8 On the pair correlation of the zeros of the Riemann zeta function.- 9 Discrepancy of some special sequences.- 10 Padé approximation to the logarithmic derivative of the Gauss hypergeometric function.- 11 The evaluation of the sum over arithmetic progressions for the coefficients of the Rankin-Selberg series II.- 12 Substitutions, atomic surfaces, and periodic beta expansions.- 13 The largest prime factor of integers in the short interval.- 14 A general divisor problem in Landau’s framework.- 15 On inhomogeneous Diophantine approximation and the Borweins’ algorithm, II.- 16 Asymptotic expansions of double gamma-functions and related remarks.- 17 A note on a certain average of L(1/2 + it, ?).- 18 On covering equivalence.- 19 Certain words, tilings, their non-periodicity, and substitutions of high dimension.- 20 Determination of all Q-rational CM-points in moduli spaces of polarized abelian surfaces.- 21 On families of cubic Thue equations.- 22 Two examples of zeta-regularization.- 23 A hybrid mean value formula of Dedekind sums and Hurwitz zetafunctions.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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