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In mathematics, a '''''p''-adic modular form''' is a ''p''-adic analog of a [[modular form]], with coefficients that are ''p''-adic numbers rather than complex numbers. {{harvtxt|Serre|1973}} introduced ''p''-adic modular forms as limits of ordinary modular forms, and {{harvtxt|Katz|1973}} shortly afterwards gave a geometric and more general definition.
==References==
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