The Hurwitz and the Lerch Zeta-functions in the second variable
Material type: TextPublication details: New Delhi : Narosa Publishing House, ©2016Description: 316 p. ; 25 cmISBN:- 9788184874464
- 515.56 RAN-H
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
Books | IIITD General Stacks | Mathematics | 515.56 RAN-H (Browse shelf(Opens below)) | Available | 012782 |
Includes bibliographical references.
Chapter 0: Generalised Euler's Summation Formula and the Basic Fourier Series Chapter 1: Analogues of Euler and Poisson Summation Formulae Chapter 2: Classical Theory of Fourier Series: Demystified and Generalised Chapter 3: Dirichlet L-function and Power Series for Hurwitz Zeta Function Chapter 4: Precise Definition and Analyticity of i i ri i (s, i !) Chapter 5: Instant Evaluation and Demystification of i (n), L(n, i i GBP) that Euler, Ramanujan Missed-I Chapter 6: Instant Evaluation and Demystification of i (n), L(n, i GBP) that Euler, Ramanujan Missed-II Chapter 7: Instant Evaluation and Demystification of i (n), L(n, i i GBP) that Euler, Ramanujan Missed-III Chapter 8: Instant Multiple Zeta Values at Non-positive Integers and the Bernoulli Polynomials Chapter 9: Gamma, Psi, Bernoulli Functions via Hurwitz Zeta Function / The i !-Calculus-cum-i !-Analysis of Chapter 10: Integral Expressions for and Approximations
The 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.
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