Cihan Sabuncu

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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.NT2026

The multiplication table problem in large dimensions

Cihan Sabuncu, Christian Táfula

For $N \geq 2$ and $k \geq 1$ , let $M_{k} (N) := # {x_{1} \dots x_{k} : x_{i} \in {1, \dots, N} for all i}$ be the $k$ -dimensional multiplication table. Given $N$ , Khovanskii's theorem…

math.NT2026

Ranks of Elliptic Curves Twisted by Quadratic Forms

Mohammad H. Hamdar, Cihan Sabuncu

Let $E$ be an elliptic curve over $Q$ and let $E^{d}$ be its twist by the quadratic character $χ_{d}$ . We prove there are infinitely many twists $d$ which are sums of two squa…

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-…