Parameters of solvable automorphic forms
Year: 2025
Type: article
Abstract: In a letter from Tate to Serre dated March 26, 1974, Tate suggested a classification of weight one modular forms of prime level in terms of their associated odd Artin representations. This paper carries out an analogous classification of Maass wave forms of prime power level in terms of complex even representations. The parameters are identified with techniques from class field theory and Galois representations. The classification reveals that there exist distinct Maass cusp forms of tetrahedral type on Γ 1 ( ℓ ) that remain inequivalent modulo 3 for ℓ = 7687 , 16363 and 20887, and that these ℓ are the three smallest such primes.
Source: Journal of Number Theory
Author: Peter Vang Uttenthal
Institution: Aarhus University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4416414874