M. Ram

activity

20202025

collaborators

4 papers

math.NT2025

Absolutely Abelian Hilbert Class Fields and $ℓ -$ torsion conjecture

Mahesh Kumar Ram, Prem Prakash Pandey, Nimish Kumar Mahapatra

There are several recent works where authors have shown that number fields $K$ with `sufficiently many' units and cyclic class group contain a Euclidean ideal class provided the Hi…

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…

math.NT2020

Small class number fields in the family $Q (9 m^{2} + 4 m)$

Nimish Mahapatra, Prem Prakash Pandey, Mahesh Ram

We study the class number one problem for real quadratic fields $Q (9 m^{2} + 4 m)$ , where $m$ is an odd integer. We show that for $m \equiv 1 (mod 3)$ there is only one…

Absolutely Abelian Hilbert Class Fields and ℓ−torsion conjecture

Primes of Higher Degree

Primes of higher degree and Annihilators of Class groups

Small class number fields in the family Q(9m2+4m​)

Absolutely Abelian Hilbert Class Fields and $ℓ -$ torsion conjecture

Small class number fields in the family $Q (9 m^{2} + 4 m)$