On a smoothed average of the number of Goldbach representations
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911961128632320 |
|---|---|
| author | Goldston, Daniel A. Suriajaya, Ade Irma |
| author_facet | Goldston, Daniel A. Suriajaya, Ade Irma |
| contents | Assuming the Generalized Riemann Hypothesis for the zeros of the Dirichlet $L$-functions with characters modulo $q$, we obtain a smoothed version of the average number of Goldbach representations for numbers which are multiples of a positive integer $q$. Such an average was first considered by Granville \cite{Gran07,Gran08} but without any smoothing factor. In this short article, we also show how the smoothing can be removed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_04807 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a smoothed average of the number of Goldbach representations Goldston, Daniel A. Suriajaya, Ade Irma Number Theory Primary 11P32, Secondary 11M26, 11N37 Assuming the Generalized Riemann Hypothesis for the zeros of the Dirichlet $L$-functions with characters modulo $q$, we obtain a smoothed version of the average number of Goldbach representations for numbers which are multiples of a positive integer $q$. Such an average was first considered by Granville \cite{Gran07,Gran08} but without any smoothing factor. In this short article, we also show how the smoothing can be removed. |
| title | On a smoothed average of the number of Goldbach representations |
| topic | Number Theory Primary 11P32, Secondary 11M26, 11N37 |
| url | https://arxiv.org/abs/2306.04807 |