Theorems · Definition · number theory
UpperHalfPlane.petersson
ℤ → (UpperHalfPlane → ℂ) → (UpperHalfPlane → ℂ) → UpperHalfPlane → ℂ
The integrand in the Petersson scalar product of two modular forms.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Complexstatement and proof · cited by 5,565
- Complex.ofRealproof · cited by 1,654
- starRingEndproof · cited by 671
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.improof · cited by 128
Cited by16
Results whose statement or proof uses this declaration.
- UpperHalfPlane.petersson_slashstatement and proof · cited by 3
- UpperHalfPlane.petersson_continuousstatement · cited by 2
- UpperHalfPlane.petersson_norm_symmstatement and proof · cited by 2
- CuspFormClass.petersson_bounded_leftstatement and proof · cited by 2
- SlashInvariantFormClass.norm_petersson_smulstatement and proof · cited by 2
- UpperHalfPlane.IsZeroAtImInfty.petersson_exp_decay_leftstatement · cited by 2
- ModularFormClass.exists_petersson_lestatement and proof · cited by 1
- UpperHalfPlane.IsZeroAtImInfty.petersson_isZeroAtImInfty_leftstatement · cited by 1
- UpperHalfPlane.petersson_symmstatement · cited by 1
- CuspFormClass.exists_boundproof · cited by 1
- ModularFormClass.exists_boundproof · cited by 1
- UpperHalfPlane.IsZeroAtImInfty.petersson_exp_decay_rightstatement and proof · cited by 1