The Hardy-Littlewood conjectures on the twin primes and the binary Goldbach problem are true
| Autor: | Laporta, Maurizio |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | A celebrated conjecture of Hardy and Littlewood provides with an asymptotic formula for the counting function of the twin primes. We give an unconditional proof of such a formula by means of a finite Ramanujan expansion of the counting function expressed in terms of the von Mangoldt function and its incomplete form. In a completely analogous way, we solve the conjugate conjecture on the representations of any even integer as the sum of two prime numbers. Comment: Lemma 1 is wrong |
| Databáze: | arXiv |
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