Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions
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It was shown that numerous (known and new) results involving various special functions, such as the Hurwitz and Lerch zeta functions and Legendre chi function, could be established in a simple, general and unified manner. In this way, among others, we recovered the Wang and Williams-Zhang generalizations of the classical Eisenstein summation formula and obtained their previously unknown companion formulae. (C) 2010 Elsevier Ltd. All rights reserved.
Кључне речи:Trigonometric and exponential sums / Hurwitz zeta function / Lerch zeta function / Riemann zeta function / Legendre chi function / Discrete Fourier transform / Bernoulli polynomials and numbers / Eisenstein summation formula / Wang sums / Williams-Zhang sums
Извор:Computers and Mathematics with Applications, 2010, 59, 4, 1484-1490
- Ministry of Science and Environmental Protection of the Republic of Serbia [142025, 144004]
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