Arithmetic of certain hypergeometric modular forms
Karl Mahlburg, Ken Ono (2004)
Acta Arithmetica
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Displaying similar documents to “Differential overconvergence”
Arithmetic of certain hypergeometric modular forms
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The purpose of this paper, which is a continuation of [2, 3], is to prove further results about arithmetic modular forms and functions. In particular we shall demonstrate here a q-expansion principle which will be useful in proving a reciprocity law for special values of arithmetic Hilbert modular functions, of which the classical results on complex multiplication are a special case. The main feature of our treatment is, perhaps, its independence of the theory of abelian varieties. ...