A simple trace formula for algebraic modular forms

N Dummigan - Experimental Mathematics, 2013 - Taylor & Francis
We derive an elementary formula for the trace of a Hecke operator acting on a space of
algebraic modular forms, as a sum of character values. We describe explicit computations in …

p-adic Measures for Hermitian Modular Forms and the Rankin–Selberg Method

T Bouganis - Elliptic Curves, Modular Forms and Iwasawa Theory: In …, 2016 - Springer
p-adic Measures for Hermitian Modular Forms and the Rankin–Selberg Method | SpringerLink
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CONGRUENCE PRIMES FOR SIEGEL MODULAR FORMS OF PARAMODULAR LEVEL AND APPLICATIONS TO THE BLOCH–KATO CONJECTURE

J Brown, H Li - Glasgow Mathematical Journal, 2021 - cambridge.org
It has been well established that congruences between automorphic forms have far-
reaching applications in arithmetic. In this paper, we construct congruences for Siegel …

Automorphic forms on unitary groups

EE Eischen - 2022 - books.google.com
This manuscript provides a more detailed treatment of the material from my lecture series at
the 2022 Arizona Winter School on Automorphic Forms Beyond GL2. The main focus of this …

On the period of the Ikeda lift for U(mm)

H Katsurada - Mathematische Zeitschrift, 2017 - Springer
Abstract Let K= Q (-D) K= Q (-D) be an imaginary quadratic field with discriminant-D,-D, and
χ χ the Dirichlet character corresponding to the extension K/QK/Q. Let m= 2n m= 2 n or 2 n+ …

[PDF][PDF] Congruence primes for automorphic forms on symplectic groups

J Brown, H Li - preprint, 2019 - huixil.wordpress.com
It has been well-established that congruences between automorphic forms have far
reaching applications in arithmetic. In this paper we construct congruences for Siegel Hilbert …

On the algebraicity of special L-values of Hermitian modular forms

A Bouganis - Documenta Mathematica, 2015 - durham-repository.worktribe.com
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 …

ALGEBRAIC DIFFERENTIAL OPERATORS ON ARITHMETIC AUTOMORPHIC FORMS, MODULAR DISTRIBUTIONS, 𝙋-ADIC INTERPOLATION OF THEIR CRITICAL …

A Pantchichkine - Thang Long Journal of Science …, 2023 - science.thanglong.edu.vn
The paper extends author's method of modular distributions (2002,[75]) to arithmetic
automorphic L functions on general classical groups. Main resultat gives a p-adic …

[HTML][HTML] Hermitian Maass lift for general level

AH Vu - Journal of Number Theory, 2019 - Elsevier
For an imaginary quadratic field K of discriminant− D, let χ= χ K be the associated quadratic
character. We will show that the space of special hermitian Jacobi forms of level N is …

Period of the adelic Ikeda lift for U(mm)

H Katsurada - Abhandlungen aus dem Mathematischen Seminar der …, 2018 - Springer
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SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Abhandlungen …