From a prime number race to a divergent series race: De una carrera de números primos a una carrera de series divergentes
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| Autors: | , |
|---|---|
| Format: | artículo original |
| Estat: | Versión publicada |
| Data de publicació: | 2022 |
| Descripció: | In the distribution of prime numbers classes 4n + 3 and 4n + 1, a competition or “race” is observed for which one contains more primes. Chébyshev observed that the former contains more than the latter. Here, it is conjectured that there is an infinite number of times that this competition, Δπ = π(4n + 3) − π(4n + 1), does not have a leader and that this occurs fewer times than Chébyshev’s observation, and more times than Littlewood’s distribution, that is, #{Infinite_times Δπ > 0} > #{Infinite_times Δπ = 0} > {Infinite_times Δπ < 0}. Based on this idea, a race of divergent subharmonic numbers is presented, in which the difference between one subharmonic number and another is a finite value that can be calculated and its asymptotic value is valid for infinite series. |
| Pais: | Portal de Revistas TEC |
| Institution: | Instituto Tecnológico de Costa Rica |
| Repositorio: | Portal de Revistas TEC |
| Idioma: | Español |
| OAI Identifier: | oai:ojs.pkp.sfu.ca:article/6133 |
| Accés en línia: | https://revistas.tec.ac.cr/index.php/matematica/article/view/6133 |