Cihan Sabuncu

works on

elliptic curves 1 modular l-functions 1 quadratic twists 1 rank 1 sums of two squares 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.NT2026

Ranks of Elliptic Curves Twisted by Quadratic Forms

Mohammad H. Hamdar, Cihan Sabuncu

The paper proves that for any elliptic curve over ℚ there are infinitely many quadratic twists by integers that are sums of two squares for which the twisted curve has rank 1, usin…

math.NT2026

Missing digits and sums of two prime squares

Cihan Sabuncu

We investigate integers whose base $g$ expansion omits a fixed digit and which can be represented as a sum of two prime squares. In the first part of the paper, we apply the Hardy-…

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…

Ranks of Elliptic Curves Twisted by Quadratic Forms

Missing digits and sums of two prime squares

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

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