Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions

DOI10.1016/J.CAMWA.2010.01.026zbMath1189.33002OpenAlexW2036750949MaRDI QIDQ980197

Djurdje Cvijović

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://vinar.vin.bg.ac.rs//bitstream/id/12600/3926.pdf

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functiondiscrete Fourier transformBernoulli polynomials and numbersLegendre chi functionEisenstein summation formulatrigonometric and exponential sums

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Hurwitz and Lerch zeta functions (11M35) Exponential and trigonometric functions (33B10)

Related Items (3)

Integrals involving the Legendre Chi function ⋮ Two integrals involving the Legendre chi function ⋮ Special values and integral representations for the Hurwitz-type Euler zeta functions

Cites Work

• Unnamed Item
• Unnamed Item
• Some discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function
• Integral representations of the Legendre chi function
• Closed-form formulae for the derivatives of trigonometric functions at rational multiples of \(\pi\)
• Values of the derivatives of the cotangent at rational multiples of \(\pi\)
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• Explicit formulas for the Nörlund polynomials \(B_n^{(x)}\) and \(b_n^{(x )}\)
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• Dirichlet L-functions and character power sums
• Exponential Sums of Lerch's Zeta Functions
• Some polynomials associated with Williams' limit formula for $\zeta (2n)$

This page was built for publication: Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions