Theorems · Theorem · number theory
HurwitzZeta.cosZeta_neg_two_mul_nat_add_one
∀ (a : UnitAddCircle) (n : ℕ), HurwitzZeta.cosZeta a (-2 * (↑n + 1)) = 0
The trivial zeroes of the cosine zeta function.
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- 0 results in Mathlib
- Foundations
- Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- neg_mulproof · cited by 654
- two_ne_zeroproof · cited by 251
- div_zeroproof · cited by 251
- Function.update_of_neproof · cited by 198
- mul_ne_zeroproof · cited by 178
- UnitAddCirclestatement and proof · cited by 157
- neg_ne_zeroproof · cited by 70
- Complex.Gammaℝproof · cited by 60
- Nat.cast_add_oneproof · cited by 56
- HurwitzZeta.completedCosZetaproof · cited by 19
- HurwitzZeta.cosZetastatement · cited by 18
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