On a Conjecture of Sun about sums of restricted squares

Autor:	Banerjee, Soumyarup
Rok vydání:	2022
Předmět:	Mathematics - Number Theory 11F37 11F11 11E25 11E45 11N36 11P05
Druh dokumentu:	Working Paper
Popis:	In this paper, we investigate sums of four squares of integers whose prime factorizations are restricted, making progress towards a conjecture of Sun that states that two of the integers may be restricted to the forms $2^a3^b$ and $2^c5^d$. We obtain an ineffective generalization of results of Gauss and Legendre on sums of three squares and an effective generalization of Lagrange's four-square theorem. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.04057 Zobrazit plný text záznamu View this record from Arxiv