1 citations · 1 across the 8 of their papers we have counts for
8 papers
The multiplication table problem in large dimensions
Cihan Sabuncu, Christian Táfula
For and , let be the -dimensional multiplication table. Given , Khovanskii's theorem…
Ranks of Elliptic Curves Twisted by Quadratic Forms
Mohammad H. Hamdar, Cihan Sabuncu
Let be an elliptic curve over and let be its twist by the quadratic character . We prove there are infinitely many twists which are sums of two squa…
Missing digits and sums of two prime squares
Cihan Sabuncu
We investigate integers whose base 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-…
On extreme values of in arithmetic progressions
Michael Filaseta, Jonah Klein, Cihan Sabuncu
For a given integer and any residue that can be written as a sum of 3 squares modulo , we show the existence of infinitely many integers s…
Visiting early at prime times
Tony Haddad, Sun-Kai Leung, Cihan Sabuncu
Given an integer and a sufficiently large , we prove that there always exists an arithmetic progression with common difference for which the -th least pri…
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…
The multiplication table constant and sums of two squares
Andrew Granville, Cihan Sabuncu, Alisa Sedunova
We will show that the number of integers that can be written as the square of an integer plus the square of a prime equals minus a seco…
On the Moments of the Number of Representations as Sums of Two Prime Squares
Cihan Sabuncu
We study the moments of the function that counts the number of representations of an integer as sums of two prime squares. We refine some of the previous arguments and apply the Se…