6 papers
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…
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…
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…
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.
Estimates for the number of zeros of shifted combinations of completed Dirichlet series
Pedro Ribeiro
In a previous paper, Yakubovich and the author of this article proved that certain shifted combinations of completed Dirichlet series have infinitely many zeros on the critical lin…
On the number of zeros of functions attached to cusp forms of half-integral weight
Pedro Ribeiro
Meher et al. [Proc. Amer. Math. Soc. 147 (2019)] have recently established that functions attached to certain cusp forms of half-integral weight have infinitely many zeros on t…