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arXiv · 2307.03350

Generalizations (in the spirit of Koshliakov) of some formulas from Ramanujan's Lost Notebook

Pedro Ribeiro·Semyon Yakubovich
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Abstract

In his lost notebook, Ramanujan recorded beautiful identities. These include earlier versions of Koshliakov's formula for the divisor function and the transformation formula for the logarithm of Dedekind's $\eta-$function. In this paper we establish some generalizations of these formulas of Ramanujan in a setting that only recently reemerged in the literature and which concerns a beautiful theory due to Koshliakov.

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Pedro Ribeiro, Semyon Yakubovich. 2023-07-07. Generalizations (in the spirit of Koshliakov) of some formulas from Ramanujan's Lost Notebook. https://arxiv.org/abs/2307.03350

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