000			02318nam a22002297a 4500
003			IIITD
005			20240501172504.0
008			240406b xxu||||| |||| 00| 0 eng d
020			_a9788184874464
040			_aIIITD
082			_a515.56 _bRAN-H
100			_aRane, Vivek V.
245			_aThe Hurwitz and the Lerch Zeta-functions in the second variable _cby Vivek V. Rane
260			_aNew Delhi : _bNarosa Publishing House, _c©2016
300			_a316 p. ; _c25 cm.
504			_aIncludes bibliographical references.
505			_tChapter 0: Generalised Euler's Summation Formula and the Basic Fourier Series _tChapter 1: Analogues of Euler and Poisson Summation Formulae _tChapter 2: Classical Theory of Fourier Series: Demystified and Generalised _tChapter 3: Dirichlet L-function and Power Series for Hurwitz Zeta Function _tChapter 4: Precise Definition and Analyticity of i i ri i (s, i !) _tChapter 5: Instant Evaluation and Demystification of i (n), L(n, i i GBP) that Euler, Ramanujan Missed-I _tChapter 6: Instant Evaluation and Demystification of i (n), L(n, i GBP) that Euler, Ramanujan Missed-II _tChapter 7: Instant Evaluation and Demystification of i (n), L(n, i i GBP) that Euler, Ramanujan Missed-III _tChapter 8: Instant Multiple Zeta Values at Non-positive Integers and the Bernoulli Polynomials _tChapter 9: Gamma, Psi, Bernoulli Functions via Hurwitz Zeta Function / The i !-Calculus-cum-i !-Analysis of _tChapter 10: Integral Expressions for and Approximations
520			_aThe 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.
650			_aFunctions of complex variables.
650			_aFunctions, Zeta.
942			_2ddc _cBK
999			_c172549 _d172549