On the Proportion of Coprime Fractions in Number Fields
| Autor: | Bridges, Walter, Franke, Johann, Stumpenhusen, Johann Christian |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper we determine the asymptotic density of coprime fractions in those of the reduced fractions of number fields. When ordered by norms of denominators, we count a fraction as soon as it ``appears'' for the first time and no later. The natural density of coprime fractions in the set of reduced fractions may then be computed using well-known facts about Hecke $L$-functions. Furthermore, we draw some connections to the modular group and Heegner points. Comment: 12 pages, 1 figure, 1 table |
| Databáze: | arXiv |
| Externí odkaz: |
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