Some integrals related to the Basel problem

Khristo N. Boyadzhiev

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Basel problem, integrals, dilogarithm, trilogarithm, Catalan constant

Khristo N. Boyadzhiev

Department of Mathematics and Statistics, Ohio Northern University, Ada, OH 45810, U.S.A

Abstract

We evaluate several arctangent and logarithmic integrals depending on a parameter. This provides a closed form summation of certain series and also integral and series representation of some classical constants.

Issue

Vol. 26 (2015)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Khristo N. Boyadzhiev. (2025). Some integrals related to the Basel problem. Scientia Series A: Mathematical Sciences, 26, 1-11. https://doi.org/10.71712/