%0 Journal Article
%T Two divisors of (n^2+1)/2 summing up to ¦Än + ¦Ä ¡À 2, ¦Ä even
%A Buja£¿i£¿ Babi£¿
%A Sanda
%J -
%D 2018
%R 10.21857/yk3jwhrjd9
%X Sa£¿etak We prove there exist infinitely many odd integers n for which there exists a pair of positive divisors d1, d2 of (n^2+1)/2 such that d1 + d2 = ¦Än + ¦Å for ¦Å = ¦Ä + 2, where ¦Ä is an even positive integer. Furthermore, we deal with the same problem where ¦Å = ¦Ä - 2 and ¦Ä ¡Ô 4, 6 (mod 8). Using different approaches and methods we obtain similar but conditional results since the proofs rely on Schinzel¡¯s Hypothesis H
%K Sum of divisors
%K continued fractions
%K Pell equation
%K Legendre symbol
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=303102