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OverviewThe Hurwitz and the Lerch Zeta- Functions in the Second Variable, which is based on author's own research work, mainly deals with the study of the Hurwitz zeta Function as a function of the second variable, thereby connecting Riemann zeta function, gamma function, Bernoulli polynomials, Dirichlet L-Series and many other functions. In this book, the author has developed an approach based on Euler's summation fornula-cum-the basic fourier series, to deal with problems in number theory. In particular, the book gives a new approach to classical fourier theory. The book uses classical elementary methods subtly. Also the calculus of the Hurwitz zeta function as a function of the second variable has been developed. Full Product DetailsAuthor: Vivek V. RanePublisher: Alpha Science International Ltd Imprint: Alpha Science International Ltd ISBN: 9788184874464ISBN 10: 8184874464 Pages: 300 Publication Date: 31 August 2016 Audience: College/higher education , Postgraduate, Research & Scholarly 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 ContentsNotations and Definitions / Preface, Intent and Introduction / Known Facts about the Functions under consideration, in brief / on Riemann-Stieltjes Integration, in brief / Chapterwise Summary of Results / Generalised Euler's Summation Formula and the Basic Fourier Series / Analogues of Euler and Poisson Summation Formulae / Classical Theory of Fourier Series: Demystified and Generalised / Dirichlet L-function and Power Series for Hurwitz Zeta Function / Precise Definition and Analyticity of i i ri i (s,i !) / Instant Evaluation and Demystification of i (n), L(n,i i GBP) that Euler, Ramanujan Missed-I / Instant Evaluation and Demystification of i (n), L(n,i i GBP) that Euler, Ramanujan Missed-II / Instant Evaluation and Demystification of i (n), L(n,i i GBP) that Euler, Ramanujan Missed-III / Instant Multiple Zeta Values at Non-positive Integers and the Bernoulli Polynomials / Gamma, Psi, Bernoulli Functions via Hurwitz Zeta Function / The i !-Calculus-cum-i !-Analysis of / Integral Expressions for and Approximations / Demystification of Taylor , Laurent Coefficients of Lerch , Hurwitz Zeta Functions / Fourier Series of the Derivatives of Hurwitz and Lerch Zeta Functions / Exact and Approximate Functional Equations of Lerch's Zeta Function / On an Approximate Functional Equation for Dirichlet L-series / Approximate Functional Equation for the Product of Functions and Divisor Problem.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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