Cihan Sabuncu

activity

20232026

most citedOn the Moments of the Number of Representations as Sums of Two Prime Squares

1 citations · 1 across the 8 of their papers we have counts for

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math.NT2024

On extreme values of $r_{3} (n)$ in arithmetic progressions

Michael Filaseta, Jonah Klein, Cihan Sabuncu

For a given integer $m$ and any residue $a (mod m)$ that can be written as a sum of 3 squares modulo $m$ , we show the existence of infinitely many integers $n \equiv a (mod m)$ s…

math.NT2024

Visiting early at prime times

Tony Haddad, Sun-Kai Leung, Cihan Sabuncu

Given an integer $m ⩾ 2$ and a sufficiently large $q$ , we prove that there always exists an arithmetic progression with common difference $q$ for which the $m$ -th least pri…

math.NT2024

Right-angled triangles with almost prime hypotenuse

Cihan Sabuncu

The sequence OEIS A281505 consists of distinct odd legs in right triangles with integer sides and prime hypotenuse. In this paper, we count the closely related quantity of even leg…

On extreme values of r3​(n) in arithmetic progressions

Visiting early at prime times

Right-angled triangles with almost prime hypotenuse

On extreme values of $r_{3} (n)$ in arithmetic progressions