On seven conjectures of Kedlaya and Medvedovsky

JOURNAL OF NUMBER THEORY

卷:231

Article

Taylor, Noah¹ 

[1] Univ Chicago, Dept Math, 5734 S Univ Ave, Chicago, IL 60637 USA

关键词: Modular form;    Hecke algebra;    Galois representation;   

DOI  :  10.1016/j.jnt.2021.05.006

来源: Elsevier

【 摘 要 】

In a paper of Kedlaya and Medvedovsky [KM19], the number of distinct dihedral mod 2 modular representations of prime level N was calculated, and a conjecture on the dimension of the space of level N weight 2 modular forms giving rise to each representation was stated. In this paper we prove this conjecture. (c) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free