Published 2025-08-08
DOI:
https://doi.org/10.71712/Keywords
- Basel problem,
- integrals,
- dilogarithm,
- trilogarithm,
- Catalan constant
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
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/
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.
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