On signs of Hecke eigenvalues of Siegel eigenforms
نویسندگان
چکیده
In this article, we distinguish Siegel cuspidal eigenforms of degree two on the full symplectic group from signs their Hecke eigenvalues. To establish our theorem, obtain a result towards simultaneous sign changes eigenvalues eigenforms. course proof, also prove that Satake p-parameters different are distinct for set primes p density 1. The main ingredient to latter is theory Galois representations attached
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ژورنال
عنوان ژورنال: Mathematika
سال: 2022
ISSN: ['2041-7942', '0025-5793']
DOI: https://doi.org/10.1112/mtk.12154