On the trace and norm maps from Γ0(p) to GL2(A)

JOURNAL OF NUMBER THEORY

卷:142

Article

Vincent, Christelle

关键词: Drinfeld modular forms;    Drinfeld modules;    Congruences;   

DOI  :  10.1016/j.jnt.2014.02.012

来源: Elsevier

【 摘 要 】

Let f be a Drinfeld modular form for Gamma(0)(p). From such a form, one can obtain two forms for the full modular group GL(2)(A): by taking the trace or the norm from Gamma(0)(p) to GL(2)(A). In this paper we show some connections between the arithmetic modulo p of the coefficients of the u-series expansion of f and those of a form closely related to its trace, and of the coefficients of f and those of its norm. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free