Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions
Abstract
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.
Keywords:
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 sumsSource:
Computers and Mathematics with Applications, 2010, 59, 4, 1484-1490Funding / projects:
- Ministry of Science and Environmental Protection of the Republic of Serbia [142025, 144004]
DOI: 10.1016/j.camwa.2010.01.026
ISSN: 0898-1221
WoS: 000275610900012
Scopus: 2-s2.0-75449099466
Collections
Institution/Community
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2010 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3930 AB - 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. T2 - Computers and Mathematics with Applications T1 - Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions VL - 59 IS - 4 SP - 1484 EP - 1490 DO - 10.1016/j.camwa.2010.01.026 ER -
@article{ author = "Cvijović, Đurđe", year = "2010", abstract = "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.", journal = "Computers and Mathematics with Applications", title = "Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions", volume = "59", number = "4", pages = "1484-1490", doi = "10.1016/j.camwa.2010.01.026" }
Cvijović, Đ.. (2010). Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions. in Computers and Mathematics with Applications, 59(4), 1484-1490. https://doi.org/10.1016/j.camwa.2010.01.026
Cvijović Đ. Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions. in Computers and Mathematics with Applications. 2010;59(4):1484-1490. doi:10.1016/j.camwa.2010.01.026 .
Cvijović, Đurđe, "Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions" in Computers and Mathematics with Applications, 59, no. 4 (2010):1484-1490, https://doi.org/10.1016/j.camwa.2010.01.026 . .
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