Outputs (3)

On the standard L-function attached to quaternionic modular forms (2020)
Journal Article
Bouganis, A. (2021). On the standard L-function attached to quaternionic modular forms. Journal of Number Theory, 222, 293-345. https://doi.org/10.1016/j.jnt.2020.10.024

In this paper we study the analytic properties of the standard L-function attached to vector valued quaternionic modular forms using the Rankin-Selberg method. This involves the construction of vector valued theta series, which we obtain by applying... Read More about On the standard L-function attached to quaternionic modular forms.

On the Rankin-Selberg method for vector valued Siegel modular forms (2020)
Journal Article
Bouganis, A., & Mercuri, S. (2021). On the Rankin-Selberg method for vector valued Siegel modular forms. International Journal of Number Theory, 17(5), 1207-1242. https://doi.org/10.1142/s1793042121500330

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 particular we provide a detailed description of its possible poles and obtain a n... Read More about On the Rankin-Selberg method for vector valued Siegel modular forms.

Algebraicity of special L-values attached to Siegel-Jacobi modular forms (2020)
Journal Article
Bouganis, A., & Marzec, J. (2021). Algebraicity of special L-values attached to Siegel-Jacobi modular forms. manuscripta mathematica, 166(3-4), 359-402. https://doi.org/10.1007/s00229-020-01243-w

n this work we obtain algebraicity results on special L-values attached to Siegel–Jacobi modular forms. Our method relies on a generalization of the doubling method to the Jacobi group obtained in our previous work, and on introducing a notion of nea... Read More about Algebraicity of special L-values attached to Siegel-Jacobi modular forms.