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Congruence properties of a Drinfeld modular function μ

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The Drinfeld modular function μ is a generator of the function field of the Drinfeld modular curve X_0(T) and hasan t-expansion with the integral coefficients at infinity. In this paper, we show that the coefficients of μ has congruence properties modulo powers of T.

Abstract

The Drinfeld modular function μ is a generator of the function field of the Drinfeld modular curve X_0(T) and hasan t-expansion with the integral coefficients at infinity. In this paper, we show that the coefficients of μ has congruence properties modulo powers of T.

참고문헌 (2)

  1. V. Bosser, "Congruence properties of the coefficients of the Drinfeld modular invariant", Manuscripta Math., 109(3), pp.289~307 (2002)
  2. D. Jeon, "On the singular values of the Drinfeld modular function", J. Number Theory, 91(2), pp.274~283 (2001)

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