Lifting congruences to half-integral weight

N Dummigan - Research in Number Theory, 2022 - Springer
Given a congruence of Hecke eigenvalues between newforms f and g of odd, square free
level, and weight 2 κ - 2 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …

CONGRUENCES OF SAITO–KUROKAWA LIFTS AND DENOMINATORS OF CENTRAL SPINOR L-VALUES

N Dummigan - Glasgow Mathematical Journal, 2022 - cambridge.org
Following Ryan and Tornaría, we prove that moduli of congruences of Hecke eigenvalues,
between Saito–Kurokawa lifts and non-lifts (certain Siegel modular forms of genus 2), occur …

Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series

A Pitale, A Saha, R Schmidt - Publicacions Matematiques, 2022 - projecteuclid.org
We study nearly holomorphic Siegel Eisenstein series of general levels and characters on ℍ
2 n, the Siegel upper half space of degree 2 n. We prove that the Fourier coefficients of these …

Congruence primes for Ikeda lifts and the Ikeda ideal

J Brown, R Keaton - Pacific Journal of Mathematics, 2015 - msp.org
Let f be a newform of level 1 and weight (2 κ− n) for positive even integers κ and n. We study
congruence primes for the Ikeda lift of f. In particular, we consider a conjecture of Katsurada …

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 …

[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 …

[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 …

Congruence primes for automorphic forms on unitary groups and applications to the arithmetic of Ikeda lifts

J Brown, K Klosin - 2020 - projecteuclid.org
In this paper we provide a sufficient condition for a prime to be a congruence prime for an
automorphic form f on the unitary group U (n, n)(AF) for a large class of totally real fields F …

[HTML][HTML] Irreducibility of limits of Galois representations of Saito–Kurokawa type

T Berger, K Klosin - Research in Number Theory, 2021 - Springer
We prove (under certain assumptions) the irreducibility of the limit σ 2 of a sequence of
irreducible essentially self-dual Galois representations σ k: GQ→ GL 4 (Q¯ p)(as k …

[引用][C] DEFORMATIONS OF SAITO-KUROKAWA TYPE GALOIS REPRESENTATIONS CASE FOR SUPPORT

T BERGER - 2017