Theorems · Theorem · number theory
EisensteinSeries.linear_right_summable
∀ (z : ℂ) (c : ℤ) {k : ℤ}, 2 ≤ k → Summable fun d => ((↑c * z + ↑d) ^ k)⁻¹For z : ℂ the function d : ℤ ↦ ((c z + d) ^ k)⁻¹ is Summable for 2 ≤ k.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
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- Int.cast_oneproof · cited by 371
- EisensteinSeries.summable_inv_of_isBigO_rpow_invproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- EisensteinSeries.e2Summand_summableproof · cited by 0