Cihan Sabuncu

collaborators

3 papers

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 $m \geq 2$ and a sufficiently large $q$ , we apply a variant of the Maynard--Tao sieve weight to establish the existence of an arithmetic progression with common di…

math.NT2023

The multiplication table constant and sums of two squares

Andrew Granville, Cihan Sabuncu, Alisa Sedunova

We will show that the number of integers $\leq x$ that can be written as the square of an integer plus the square of a prime equals $\frac{π}{2} \cdot \frac{x}{l o g x}$ minus a seco…

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

Visiting early at prime times

The multiplication table constant and sums of two squares

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