Year: 2015
Type: preprint
Abstract: Let $p$ be a prime, $\varepsilon>0$ and $0 c (N\log N)^{1/2},\,\, c=c(\varepsilon)>0. $$ We use this bound to show that any $λ\not\equiv 0\pmod p$ can be represented in the form $λ\equiv n_1!...n_7!\pmod p$, where $n_i=o(p^{11/12})$. This slightly refines the previously known range for $n_i$.
Source: arXiv (Cornell University)
Authors: Garaev, M. Z., Hernández, J.
Institution: Universidad Nacional Autónoma de México
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952609693