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Theorems · Theorem · number theory

UpperHalfPlane.cuspFunction_neg

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

Dashed lines are statement dependencies; solid lines are citations in proofs.

ModularForm.cuspFunction_neg · cited by 1ModularForm.cuspFunction_…UpperHalfPlane.qExpansion_sub · cited by 1UpperHalfPlane.qExpansion…Real · cited by 25697RealComplex · cited by 5565ComplexContinuousAt · cited by 697ContinuousAtUpperHalfPlane · cited by 626UpperHalfPlaneUpperHalfPlane.cuspFunction · cited by 46UpperHalfPlane.cuspFuncti…Function.Periodic.cuspFunction_neg · cited by 2Periodic.cuspFunction_negUpperHalfPlane.cuspFunction_n…CITED BYCITES

Cites6

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Cited by2

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