2 papers
math.CA2024
Poisson summation formula and Index Transforms
Pedro Ribeiro, Semyon Yakubovich
Following the work of the second author, a class of summation formulas attached to index transforms is studied in this paper. Our primary results concern summation and integral for…
math.NT2023
Generalizations (in the spirit of Koshliakov) of some formulas from Ramanujan's Lost Notebook
Pedro Ribeiro, Semyon Yakubovich
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 th…