4 papers
math.NT2026
An analogue of a formula of Popov II
Pedro Ribeiro
Let denote the number of representations of the positive integer as the sum of squares. We prove a generalization of a summation formula already proved by us [Ad…
math.HO2026
Analogues of a formula of Ferrar: what I have learned from Semyon Yakubovich
Pedro Ribeiro
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…
math.NT2024
An analogue of a formula of Popov
Pedro Ribeiro
Let denote the number of representations of the positive integer as the sum of squares. We prove a new summation formula involving and the Bessel func…
math.NT2024
On the uniform distribution of the zero ordinates of the function associated with
Pedro Ribeiro
We show that the ordinates of the nontrivial zeros of certain functions attached to half-integral weight cusp forms are uniformly distributed modulo one.