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Algebraicity of L-values attached to Quaternionic Modular Forms (2023)
Journal Article
Bouganis, A., & Jin, Y. (2023). Algebraicity of L-values attached to Quaternionic Modular Forms. Canadian Journal of Mathematics, https://doi.org/10.4153/s0008414x23000184

In this paper we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric sp... Read More about Algebraicity of L-values attached to Quaternionic Modular Forms.

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.

On the analytic properties of the standard L-function attached to Siegel-Jacobi modular forms (2019)
Journal Article
Bouganis, A., & Marzec, J. (2019). On the analytic properties of the standard L-function attached to Siegel-Jacobi modular forms. Documenta Mathematica, 24, 2613-2684. https://doi.org/10.25537/dm.2019v24.2613-2684

In this work we study the analytic properties of the standard L-function attached to Siegel-Jacobi modular forms of higher index, generalizing previous results of Arakawa and Murase. Moreover, we obtain results on the analytic properties of Klingen-t... Read More about On the analytic properties of the standard L-function attached to Siegel-Jacobi modular forms.

On special L-values attached to metaplectic modular forms (2017)
Journal Article
Bouganis, A. (2018). On special L-values attached to metaplectic modular forms. Mathematische Zeitschrift, 3-4, 725-740. https://doi.org/10.1007/s00209-017-1909-9

In this paper we establish some algebraic properties of special L-values attached to Siegel modular forms of half-integral weight, often called metaplectic modular forms. These results are motivated by some “exercises” left by Shimura to the reader i... Read More about On special L-values attached to metaplectic modular forms.

p-adic measures for Hermitian modular forms and the Rankin–Selberg method (2017)
Conference Proceeding
Bouganis, A., Loeffler, D., & Zerbes, S. (2017). p-adic measures for Hermitian modular forms and the Rankin–Selberg method. In D. Loeffler, & S. Zerbes (Eds.), Elliptic curves, modular forms and Iwasawa theory : in honour of John H. Coates' 70th Birthday, Cambridge, UK, March 2015 (33-86). https://doi.org/10.1007/978-3-319-45032-2_2

In this work we construct p-adic measures associated to an ordinary Hermitian modular form using the Rankin–Selberg method.

On the algebraicity of special L-values of Hermitian modular forms (2015)
Journal Article
Bouganis, A. (2015). On the algebraicity of special L-values of Hermitian modular forms. Documenta Mathematica, 20, 1293-1329

In this work we prove some results on the algebraicity of special L-values attached to Hermitian modular forms. Our work is based on techniques developed by Goro Shimura in his book “Arithmeticity in the Theory of Automorphic Forms”, and our results... Read More about On the algebraicity of special L-values of Hermitian modular forms.