Theorems · Theorem · number theory
LSeriesHasSum_one
∀ {s : ℂ}, 1 < s.re → LSeriesHasSum 1 s (riemannZeta s)The L-series of the constant sequence 1 equals the Riemann zeta function on its
domain of convergence 1 < re s.
- Defined in
- Mathlib.NumberTheory.LSeries.Dirichlet
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 307 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Complex.restatement and proof · cited by 882
- riemannZetastatement · cited by 85
- LSeriesHasSumstatement · cited by 17
- LSeries_one_eq_riemannZetaproof · cited by 6
- LSeriesSummable.LSeriesHasSumproof · cited by 5
- LSeriesSummable_one_iffproof · cited by 2
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