Goldbach numbers in short intervals

• Autores: Lasse Grimmelt
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 23, Nº 3, 2022, págs. 1395-1416
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We decrease the length of the shortest interval for which almost all even integers in it are the sum of two primes. This is achieved by applying a new perspective of the circle method which builds on introducing a nonnegative model for minorants. Compared to Harman’s previous record, our approach uses mino- rants more efficiently and not only allows a shorter interval but also simplifies the treatment.