N. Mahapatra

activity

20202026

most citedSmall class number fields in the family

Q (9 m^{2} + 4 m)

5 citations · 5 across the 6 of their papers we have counts for

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Showing 2025Show all

2 papers · 1 filter

math.NT2025

Discriminants and Large Pólya Groups in Septic Number Fields

Nimish Kumar Mahapatra

We investigate a new family of cyclic septic fields ${K_{t}}_{t \in Z}$ arising from the Hashimoto--Hoshi construction. For this family, we compute the discriminant explicit…

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…

Discriminants and Large Pólya Groups in Septic Number Fields

Absolutely Abelian Hilbert Class Fields and ℓ−torsion conjecture

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