Mahesh Kumar Ram

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20222025

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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…