Theorems · Definition · number theory
EisensteinSeries.r1
UpperHalfPlane → ℝ
Auxiliary function used for bounding Eisenstein series, defined as
z.im ^ 2 / (z.re ^ 2 + z.im ^ 2).
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.improof · cited by 128
- UpperHalfPlane.reproof · cited by 63
Cited by7
Results whose statement or proof uses this declaration.
- EisensteinSeries.rproof · cited by 10
- EisensteinSeries.auxbound1proof · cited by 1
- EisensteinSeries.auxbound2proof · cited by 1
- EisensteinSeries.r1_aux_boundstatement · cited by 1
- EisensteinSeries.r1_eqstatement and proof · cited by 1
- EisensteinSeries.r_lower_bound_on_verticalStripproof · cited by 1
- EisensteinSeries.r1_posstatement · cited by 0