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arXiv · 2604.09707

Analogues of a formula of Ferrar: what I have learned from Semyon Yakubovich

Pedro Ribeiro
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Abstract

W. L. Ferrar seems to have been the first mathematician to clearly draw a connection between the functional aspects of a summation formula and the behavior of the Dirichlet series underlying it. Taking a formula due to him as a starting point, I will describe some new generalizations of Ferrar's formulas and how these were actually obtained after learning a great deal from Semyon. I also present a very concise overview of the underlying theory of summation formulas and how the Mellin transform has been the link between mine and Professor Yakubovich's interests.

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Pedro Ribeiro. 2026-04-07. Analogues of a formula of Ferrar: what I have learned from Semyon Yakubovich. https://arxiv.org/abs/2604.09707

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