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A basis for the space of weakly holomorphic Drinfeld modular forms for GL2(A)

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Abstract We construct a canonical basis for the space of weakly holomorphic Drinfeld modular forms. And we find that the basis elements satisfy a generating function and the duality among… Click to show full abstract

Abstract We construct a canonical basis for the space of weakly holomorphic Drinfeld modular forms. And we find that the basis elements satisfy a generating function and the duality among coefficients of the basis elements. Moreover we obtain the congruence properties of t-expansion coefficients of these functions under some conditions.

Keywords: weakly holomorphic; holomorphic drinfeld; basis; basis space; drinfeld modular; space weakly

Journal Title: Journal of Number Theory
Year Published: 2019

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