Commit 2024-04-03 22:32 fdb986a8

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feat(NumberTheory/LSeries/Dirichlet): new file, material on specific L-series (#11712) This PR adds a new file NumberTheory.LSeries.Dirichlet that contains results on L-series of specific functions:

  • the Möbius function
  • Dirichlet characters, with the constant function 1 as a special case
  • the arithmetic function ζ (which has the same L-series as the constant function 1)
  • the von Mangoldt function and its twists by Dirichlet characters It also adds (L-series of zero and of the indicator function of {1}) and removes (convergence of the L-series of the constant function 1 / of ζ; this is moved to the new file) some material to/from NumberTheory.LSeries.Basic. See this thread on Zulip.

Estimated changes

added theorem LSeriesHasSum_one