3 papers
math.NT2025
Number Fields With Large Pólya Groups
Amir Akbary, Abbas Maarefparvar
The Pólya group of a number field is the subgroup of the ideal class group of generated by the classes of all the products of the prime ideals…
math.NT2025
Quadratic Euler-Kronecker constants in positive characteristic
Amir Akbary, Félix Baril Boudreau
In 2006, Ihara defined and systematically studied a generalization of the Euler-Mascheroni constant for all global fields, named the Euler-Kronecker constants. This paper examines…
math.NT2025
Binary quadratic forms of odd class number
Amir Akbary, Yash Totani
Let be a fundamental discriminant. We express the number of representations of an integer by a positive definite binary quadratic form of discriminant with an odd class n…