Integrals of products of Hurwitz zeta functions and the Casimir effect in ϕ^4 field theories

DOI10.7153/jca-09-11zbMath1424.11133arXiv1603.00722OpenAlexW2522563169MaRDI QIDQ4627819

M. P. Chaudhary, Richard B. Paris, M. A. Shpot

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00722

zbMATH Keywords

Hurwitz zeta functionintegralsCasimir energyFeynman integrals

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Other functions defined by series and integrals (33E20) Hurwitz and Lerch zeta functions (11M35)

Related Items (1)

Special values and integral representations for the Hurwitz-type Euler zeta functions

Uses Software

• DLMF

Cites Work

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• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions
• On some integrals involving the Hurwitz zeta function. I
• On some integrals involving the Hurwitz zeta function. II
• Structural elucidation of the mean square of the Hurwitz zeta-function
• Evaluations of some classes of the trigonometric moment integrals
• The mean-value of the Riemann zeta function
• Mean Value Properties of the Hurwitz Zeta-Function.
• Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions.
• Bernoulli Numbers and Zeta Functions
• Advances in the Casimir Effect
• Sums involving the Hurwitz zeta function

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