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arXiv · 2503.00959

Formalizing zeta and L-functions in Lean

David Loeffler·Michael Stoll
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Abstract

The Riemann zeta function, and more generally the L-functions of Dirichlet characters, are among the central objects of study in number theory. We report on a project to formalize the theory of these objects in Lean's "Mathlib" library, including a proof of Dirichlet's theorem on primes in arithmetic progressions and a formal statement of the Riemann hypothesis

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David Loeffler, Michael Stoll. 2025-03-02. Formalizing zeta and L-functions in Lean. https://doi.org/10.46298/afm.15328

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