Salvatore Mercuri

collaborators

3 papers

math.NT2019

$p$ -adic $L$ -functions on metaplectic groups

Salvatore Mercuri

With respect to the analytic-algebraic dichotomy, the theory of Siegel modular forms of half-integral weight is lopsided; the analytic theory is strong whereas the algebraic lags b…

math.NT2018

On the Rankin-Selberg method for vector valued Siegel modular forms

Thanasis Bouganis, Salvatore Mercuri

In this work we use the Rankin-Selberg method to obtain results on the analytic properties of the standard $L$ -function attached to vector valued Siegel modular forms. In particula…

math.NT2018

Algebraicity of metaplectic $L$ -functions

Salvatore Mercuri

Notable results on the special values of $L$ -functions of Siegel modular forms were obtained by J. Sturm in the case when the degree $n$ is even and the weight $k$ is an integer. I…

p-adic L-functions on metaplectic groups

On the Rankin-Selberg method for vector valued Siegel modular forms

Algebraicity of metaplectic L-functions

$p$ -adic $L$ -functions on metaplectic groups

Algebraicity of metaplectic $L$ -functions