The residue-counts of $x^2+a/x$ modulo a prime

Autor:	Sun, Zhi-Hong
Rok vydání:	2023
Předmět:	Mathematics - Number Theory 11A07 11E25
Druh dokumentu:	Working Paper
Popis:	For a prime $p>3$ and $a\in \Bbb Z$ with $p\nmid a$ let $V_p(x^2+\frac ax)$ be the residue-counts of $x^2+\frac ax$ modulo $p$ as $x$ runs over $1,2,\ldots,p-1$. In this paper, we obtain an explicit formula for $V_p(x^2+\frac ax)$, which is concerned with cubic residues and binary quadratic forms. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.07685 Zobrazit plný text záznamu View this record from Arxiv