A generalization of the prime number theorem

• Autores: Paul S. Bruckman
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 39, Nº. 5, 2008, págs. 631-635
• Idioma: inglés
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• Resumen

  • A general theorem is introduced and proved, a special case of which is the prime number theorem (PNT). The main theorem proved in this article is the following: [image omitted], where F: ????? is analytic for all x?=?2, and the p's in the sum represent all primes p?=?N. Since PNT is used to derive our generalization, we may say that PNT and our generalization are equivalent