On mod <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="fraktur">p</mml:mi></mml:math> congruences for Drinfeld modular forms of level <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:mi mathvariant="fraktur">pm</mml:mi></mml:math>

نویسندگان

چکیده

In~\cite{CS04}, Calegari and Stein studied the congruences between classical cusp forms $S_k(\Gamma_0(p))$ of prime level made several conjectures about them. In~\cite{AB07} (resp., ~\cite{BP11}) authors proved one those their generalizations). In this article, we study analogous conjecture its generalizations for Drinfeld modular forms.

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ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 2021

ISSN: ['0022-314X', '1096-1658']

DOI: https://doi.org/10.1016/j.jnt.2021.04.020