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Modular forms modulo p
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, <a href="/facts/Modular_form/PcnbYR1f">modular forms</a> are particular complex <a href="/facts/Analytic_function/JhL3z8FP">analytic functions</a> on the <a href="/facts/Upper_half-plane/7fPqrowr">upper half-plane</a> of interest in <a href="/facts/Complex_analysis/hgCoQlH0">complex analysis</a> and <a href="/facts/Number_theory/zhoa7zrc">number theory</a>. When reduced <a href="/facts/Modular_arithmetic/0wtRa5dU">modulo a prime <i>p</i></a>, there is an analogous theory to the classical theory of complex modular forms and the <a href="/facts/P-adic_modular_form/rnA6TSlw"><i>p</i>-adic theory of modular forms</a>. </p>