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Theorems · Theorem · number theory

UpperHalfPlane.IsZeroAtImInfty.cuspFunction_apply_zero

∀ {h : ℝ} {f : UpperHalfPlane → ℂ}, UpperHalfPlane.IsZeroAtImInfty f → 0 < h → UpperHalfPlane.cuspFunction h f 0 = 0
Defined in
Mathlib.NumberTheory.ModularForms.QExpansion
Cited by
1 results in Mathlib
Foundations
Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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CuspFormClass.cuspFunction_apply_zero · cited by 1CuspFormClass.cuspFunctio…Real · cited by 25697RealComplex · cited by 5565ComplexUpperHalfPlane · cited by 626UpperHalfPlaneUpperHalfPlane.cuspFunction · cited by 46UpperHalfPlane.cuspFuncti…UpperHalfPlane.IsZeroAtImInfty · cited by 24UpperHalfPlane.IsZeroAtIm…Function.Periodic.cuspFunction_zero_of_zero_at_inf · cited by 3Periodic.cuspFunction_zer…UpperHalfPlane.IsZeroAtImInfty.zero_at_infty_comp_ofComplex · cited by 2IsZeroAtImInfty.zero_at_i…IsZeroAtImInfty.cuspFunction_…CITED BYCITES

Cites7

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Cited by1

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