Author: B. Z. Moroz
Publisher:
ISBN:
Category : Ideals (Algebra)
Languages : en
Pages : 402

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Book Description

Author: Shigeru Kanemitsu
Publisher: World Scientific
ISBN: 9814273988
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations OCo avatars of the functional equations. Vista II gives an organic and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing. Sample Chapter(s). Chapter 1: The theory of Bernoulli and allied polynomials (779 KB). Contents: The Theory of Bernoulli and Allied Polynomials; The Theory of the Gamma and Related Functions; The Theory of the Lipschitz-Lerch Transcendent; Elucidation of Zeta-Identities; Hypergeometric Functions and Zeta-Functions; The Theory of Bessel Functions and the Epstein Zeta-Functions; The Theory of Arithmetical Fourier Series and the Parseval Identities; Around the Dirichlet L-Functions and the Deninger R-Function. Readership: Graduate students and researchers in pure mathematics."

Author: Haruo Tsukada
Publisher: World Scientific
ISBN: 9814467707
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations — avatars of the functional equations. Vista II gives an organic and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing.

Author: Peter Hilton
Publisher: Springer Science & Business Media
ISBN: 1475736819
Category : Mathematics
Languages : en
Pages : 344

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Book Description
This book collects nine related mathematical essays which will intrigue and inform. From the reviews: "The authors put their writing where their talents are, and students get to see just how alive mathematics is...there is much to commend the book. It contains plenty of interesting mathematics, often going in unusual directions. I like the diagrams; the authors have chosen mathematics that involves especially pretty ones." --THE MATHEMATICAL ASSOCIATION OF AMERICA

Author: Baruch Z. Moroz
Publisher: Springer
ISBN: 3540399968
Category : Mathematics
Languages : en
Pages : 188

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Book Description

Author: Tom M. Apostol
Publisher: Springer Science & Business Media
ISBN: 9780387901633
Category : Mathematics
Languages : en
Pages : 360

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Book Description
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-—MATHEMATICAL REVIEWS

Author: Dzmitry Badziahin
Publisher: Cambridge University Press
ISBN: 1107552370
Category : Mathematics
Languages : en
Pages : 341

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Book Description
Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

Author: Richard Bellman
Publisher: University Press of Kentucky
ISBN: 0813162076
Category : Mathematics
Languages : en
Pages : 148

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Book Description
Rapid advances in the physical and biological sciences and in related technologies have brought about equally farreaching changes in mathematical research. Focusing on control theory, invariant imbedding, dynamic programming, and quasilinearization, Mr. Bellman explores with ease and clarity the mathematical research problems arising from scientific questions in engineering, physics, biology, and medicine. Special attention is paid in these essays to the use of the digital computer in obtaining the numerical solution of numerical problems, its influence in the formulation of new and old scientific problems in new terms, and to some of the effects of the computer revolution on educational and social systems. The new opportunities for mathematical research presage, Bellman concludes, a renaissance of mathematics in human affairs by involving it closely in the problems of society.

Author: Solomon Friedberg
Publisher: American Mathematical Soc.
ISBN: 0821839632
Category : Mathematics
Languages : en
Pages : 320

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Book Description
Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years. More recently, many other examples have been discovered and it appears that all the classical theorems on moments of $L$-functions as well as the conjectures (such as those predicted by random matrix theory) can now be obtained via the theory of multiple Dirichlet series. Furthermore, new results, not obtainable by other methods, are just coming to light. This volume offers an account of some of the major research to date and the opportunities for the future. It includes an exposition of the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and $L$-functions, on new examples of multiple Dirichlet

Author: B. Z. Moroz
Publisher:
ISBN:
Category : Algebraic number theory
Languages : en
Pages : 194

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Book Description