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1	Riemann's Zeta Function more books like this by Harold M Edwards add to wishlist Superb study of one of the most influential classics in mathematics examines the landmark 1859 publication entitled "On the Number of Primes Less Than a Given Magnitude," and traces developments in theory inspired by it. Topics include Riemann's main formula, the prime number theorem, the Riemann-Siegel formula, large-scale computations, Fourier ... see all copies from $5.88! new only from $8.62!
2	Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings more books like this by Michel L Lapidus, Machiel Van Frankenhuysen add to wishlist Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings. Complex dimensions of a fractal string, defined as ... see all copies from $6.43! new only from $6.43! \| first editions \| SVS
3	P-Adic Numbers, P-Adic Analysis, and Zeta-Functions more books like this by Neal Koblitz add to wishlist Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and ... see all copies from $29.75! new only from $52.09! \| first editions \| SVS
4	Shintani Zeta Functions more books like this by Akihiko Yukie add to wishlist The theory of prehomogeneous vector spaces is a relatively new subject although its origin can be traced back through the works of Siegel to Gauss. The study of the zeta functions related to prehomogeneous vector spaces can yield interesting information on the asymptotic properties of associated objects, such as field extensions and ideal classes. ... see all copies from $17.62! new only from $67.30! \| SVS
5	The distribution of prime numbers. more books like this by Arthur Edward Ingham add to wishlist Originally published in 1934 in the Cambridge Tracts, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. The major part of the book is devoted to the analytical theory founded on the zeta-function of Riemann. Despite being out of print for a long time, this Tract still remains unsurpassed as ... see all copies from $19.24! new only from $28.39! \| first editions \| SVS
6	The Lerch Zeta-Function more books like this by Antanas Laurincikas, Ramunas Garunkstis add to wishlist The "Lerch Zeta-Function" is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the first book containing both analytic and probability theory of Lerch zeta-functions. The book ... see all copies from $93.83! new only from $93.83! \| SVS
7	Zeta Functions, Topology and Quantum Physics more books like this by Takashi Aoki (Editor), Shigeru Kanemitsu (Editor), Mikio Nakahara (Editor) add to wishlist This volume focuses on various aspects of zeta functions: multiple zeta values, Ohno's relations, the Riemann hypothesis, L-functions, polylogarithms, and their interplay with other disciplines. Eleven articles on recent advances are written by outstanding experts in the above-mentioned fields. Each article starts with an introductory survey ... see all copies from $83.52! new only from $83.52! \| first editions \| SVS
8	The zeta-function of Riemann more books like this by E. C. Titchmarsh add to wishlist see all copies from $199.98!
9	Cohomological Theory of Dynamical Zeta Functions more books like this by Andreas Juhl add to wishlist The periodic orbits of the geodesic flow of compact locally symmetric spaces of negative curvature give rise to meromorphic zeta functions (generalized Selberg zeta functions, Ruelle zeta functions). The book treats various aspects of the idea to understand the analytical properties of these zeta functions on the basis of appropriate analogs of ... see all copies from $128.68! new only from $128.68! \| first editions \| SVS
10	Groups Acting on Hyperbolic Space more books like this by Jurgen Elstrodt, Fritz Grunewald, Juergen Elstrodt add to wishlist This book deals with a broad range of topics from the theory of automorphic functions on three-dimensional hyperbolic space and its arithmetic group theoretic and geometric ramifications. Starting off with several models of hyperbolic space and its group of motions the authors discuss the spectral theory of the Laplacian and Selberg's theory for ... see all copies from $96.61! new only from $96.61! \| first editions \| SVS
11	Spectral Theory of the Riemann Zeta-Function more books like this by Yoichi Motohashi add to wishlist The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new ... see all copies from $42.11! new only from $42.11! \| SVS
12 view cover	The theory of the Riemann zeta-function more books like this by Titchmarsh add to wishlist The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. This volume studies all aspects of the theory, starting from first principles and probing the function's own challenging theory, with the famous and still unsolved "Riemann hypothesis ... see all copies from $99.99! new only from $125.21! \| SVS
13 view cover	Zeta functions of simple algebras more books like this by Roger Godement, Herve Jacquet add to wishlist see all copies from $12.92! new only from $18.07! \| SVS
14 view cover	Explicit Formulas more books like this by Jay Jorgenson, Serge Lang, Dorian Goldfeld add to wishlist The theory of explicit formulae for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulae can be used to describe the quantitative behaviour of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from ... see all copies from $18.00! new only from $18.00! \| SVS
15 view cover	Absolute CM-Periods more books like this by Hiroyuki Yoshida add to wishlist The central theme of this book is an invariant attached to an ideal class of a totally real algebraic number field. This invariant provides us with a unified understanding of periods of abelian varieties with complex multiplication and the Stark-Shintani units. This is a new point of view, and the book contains many new results related to it. To ... see all copies from $60.75! new only from $91.07!
16 view cover	The Riemann Zeta-Function: Theory and Applications more books like this by Aleksandar IVIC add to wishlist Comprehensive and coherent, this text covers exponential integrals and sums, 4th power moment, zero-free region, mean value estimates over short intervals, higher power moments, omega results, zeros on the critical line, zero-density estimates, distribution of primes, Dirichlet and various other divisor problems, and more. 1985 edition. see all copies from $15.99! new only from $16.09!
17 view cover	The Selberg Trace Formula for Psl (2, R) more books like this by Dennis A Hejhal add to wishlist see all copies from $41.01! new only from $41.01! \| SVS
18 view cover	Limit Theorems for the Riemann Zeta-Function more books like this by Antanas Laurincikas add to wishlist This volume presents a range of results in analytic and probabilistic number theory. The full spectrum of limit theorems in the sense of weak convergence of probability measures for the modules of the Riemann zeta-function and other functions is given by Dirichlet series. Applications to the universality and functional independence of such ... see all copies from $180.01! new only from $180.01! \| SVS
19 view cover	Area, Lattice Points and Exponential Sums more books like this by M N Huxley add to wishlist In analytic number theory a large number of problems can be "reduced" to problems involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method developed by Bombieri and Iwaniec in 1986 for estimating the Riemann zeta function on the line s = 1/2. Huxley and ... see all copies* from $258.12! new only from $258.12! \| SVS
20 view cover	An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function more books like this by Fischer add to wishlist The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2, number 3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of ... see all copies from $18.07! new only from $18.07! \| SVS
21 view cover	Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions more books like this by Michel L Lapidus, Machiel Van Frankenhuysen, Machiel Van Frankenhuysen add to wishlist Number theory and fractal geometry are combined in this study of the vibrations of fractal strings. The book centres around a notion of complex dimension, originally developed for the proof of the Prime Number Theorem, and extended here to apply to the zeta functions associated with fractals. see all copies from $50.01! new only from $50.01! \| SVS
22 view cover	The Semi-Simple Zeta Function of Quaternionic Shimura Varieties more books like this by Harry Reimann add to wishlist This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automorphic representations. In an appendix, a ... see all copies from $25.72! new only from $25.72! \| SVS
23 view cover	Posn(r) and Eisenstein Series more books like this by Jay Jorgenson, Serge Lang add to wishlist "Posn[registered] and Eisenstein Series" provides an introduction, requiring minimal prerequisites, to the analysis on symmetric spaces of positive definite real matrices as well as quotients of this space by the unimodular group of integral matrices. The approach is presented in very classical terms and includes material on special functions, ... see all copies from $31.24! new only from $31.24! \| SVS
24 view cover	Series Associated with the Zeta and Related Functions more books like this by Hari M Srivastava, Choi Junesang Choi add to wishlist Designed as a reference work and also as a graduate-level textbook, this volume presents an up-to-date and comprehensive account of the theories and applications of the various methods and techniques used in dealing with problems involving closed-form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as ... see all copies from $103.56! new only from $103.56!
25 view cover	On Artin's Conjecture for Odd 2-Dimensional Representations more books like this by Gerhard Frey add to wishlist The aim of this volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. It describes how to determine the number of all representations with given Artin conductor and determinant, and how to compute the dimension of a corresponding space of cusp forms of ... see all copies from $25.72! new only from $25.72! \| SVS

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