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Congruence properties of the coefficients of the Drinfeld modular invariant

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Abstract.

 Let be the expansion at infinity of the Drinfeld modular invariant. We know that the coefficients c n 's are in the polynomial ring 𝔽q[T]. In this text, we prove for these coefficients congruence properties modulo powers of p, where p  𝔽 q [T] is a polynomial of degree 1.

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Received: 19 April 2002

Mathematics Subject Classification (2000): 11F52, 11F33, 11G09

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Bosser, V. Congruence properties of the coefficients of the Drinfeld modular invariant. Manuscripta Math. 109, 289–307 (2002). https://doi.org/10.1007/s00229-002-0299-3

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  • DOI: https://doi.org/10.1007/s00229-002-0299-3

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