Mahesh Kumar Ram

activity

20222025

collaborators

3 papers

math.NT2025

Class numbers of Imaginary bicyclic biquadratic number fields

Anuj Jakhar, Ravi Kalwaniya, Mahesh Kumar Ram

For any fixed positive integer $n$ , we provide a method to compute all imaginary bicyclic biquadratic number fields with class number $n$ , along with their class group structures,…

math.NT2023

Primes of Higher Degree

Prem Prakash Pandey, Mahesh Kumar Ram

Let $K/\Q$ be a cyclic extension of number fields with Galois group $G$ . We study the ideal classes of primes $p$ of $K$ of residue degree bigger than one in the class g…

math.NT2022

Primes of higher degree and Annihilators of Class groups

Nimish Kumar Mahapatra, Prem Prakash Pandey, Mahesh Kumar Ram

Let $L / K$ be a Galois extension of number fields with Galois group $G$ . We discuss a new method to obtain elements in $Z [G]$ which annihilate the class group of $L$ . Using…