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Congruences for coefficients of Drinfeld modular forms
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초록
We find congruences for the t-expansion coefficients of a Drinfeld modular form for Γ_{0}^{+}(Q), where Q is a monic irreducible polynomial. As an application we obtain new congruence relations for the t-expansion coefficients of Drinfeld modular forms for GL_{2}({F}_{q}[T]).
Abstract
We find congruences for the t-expansion coefficients of a Drinfeld modular form for Γ_{0}^{+}(Q), where Q is a monic irreducible polynomial. As an application we obtain new congruence relations for the t-expansion coefficients of Drinfeld modular forms for GL_{2}({F}_{q}[T]).
참고문헌 (7)
- S. Choi, "Linear relations and congruences for the coefficients of Drinfeld modular forms", Israel J. Math., 165, pp.93~101 (2008)
- of weight qk − 1, "J. Number Theory", 2003, 107~117
- E. U. Gekeler, "On the coefficients of Drinfel?d modular forms", Invent. Math., 93(3), pp.667~700 (1988)
- E. U. Gekeler, "Growth order and congruences of coefficients of the Drinfeld discriminant function", J. Number Theory, 77(2), pp.314~325 (1999)
- E. U. Gekeler, "Jacobians of Drinfeld modular curves", J. Reine Angew. Math., 476, pp.27~93 (1996)
- R. Hartshorne, "Algebraic Geometry, Graduate Texts in Mathematics" (1977), Springer-Verlag
- B. L´opez, "A congruence for the coefficients of the Drinfeld discriminant function", C. R. Acad. Sci. Paris Ser. I Math., 330(12), pp.1053~1058 (2000)
관련 논문AI추천
Congruence properties of a Drinfeld modular function μ최소영대한수학회 · 대한수학회논문집2009 · 제24권 제2호ON FOURIER COEFFICIENTS OF SOME MEROMORPHIC MODULAR FORMSMasanobu Kaneko, Yutaro Honda대한수학회 · 대한수학회보2012 · 제49권 제6호Mean values of derivatives of $L$-functions in even characteristic배성한, 정환엽대한수학회 · 대한수학회보2022 · 제59권 제2호On the global minimal Drinfeld module equations전대열대한수학회 · 대한수학회보2005 · 제42권 제3호On the genus of certain Drinfeld modular curves김창헌, Daeyeol Jeon대한수학회 · 대한수학회논문집2005 · 제20권 제2호On polynomial-structure of rings of modular forms for Γ0(N)김대열, Yan Li대한수학회 · 대한수학회논문집2013 · 제28권 제3호
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