Formalizing zeta and L-functions in Lean
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916844292538368 |
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| author | Loeffler, David Stoll, Michael |
| author_facet | Loeffler, David Stoll, Michael |
| contents | 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00959 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Formalizing zeta and L-functions in Lean Loeffler, David Stoll, Michael Number Theory Formal Languages and Automata Theory Logic in Computer Science 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 |
| title | Formalizing zeta and L-functions in Lean |
| topic | Number Theory Formal Languages and Automata Theory Logic in Computer Science |
| url | https://arxiv.org/abs/2503.00959 |