Mohit Mishra

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20182020

most citedLower bound for class number of certain real quadratic fields

1 citations · 1 across the 2 of their papers we have counts for

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math.NT2020

Class group of real cyclotomic fields

Mohit Mishra

In this article, we prove that every finite abelian group $G$ of odd order occurs as a subgroup of the class group of infinitely many real cyclotomic fields.

math.NT2019

Primary rank of the class group of real cyclotomic fields

Rishabh Agnihotri, Kalyan Chakraborty, Mohit Mishra

Let $H = Q (ζ_{n} + ζ_{n}^{- 1})$ and $ℓ$ be an odd prime such that $q \equiv 1 (mod ℓ)$ for some prime factor $q$ of $n$ . We get a bound on the $ℓ$ -rank of the cl…

math.NT2019★ 1 cited

Lower bound for class number of certain real quadratic fields

Mohit Mishra

Let $d$ be a square-free positive integer and $h (d)$ the class number of the real quadratic field $Q (d) .$ In this paper we give an explicit lower bound for $h(n^2…

math.NT2019

On the structure of order 4 class groups of $Q (n^{2} + 1)$

Kalyan Chakraborty, Azizul Hoque, Mohit Mishra

Groups of order $4$ are isomorphic to either $Z /4 Z$ or $Z /2 Z \times Z /2 Z$ . We give certain sufficient conditions permitting to…

math.NT2018

A note on certain real quadratic fields with class number upto three

Kalyan Chakraborty, Azizul Hoque, Mohit Mishra

We obtain criteria for the class number of certain Richaud-Degert type real quadratic fields to be 3. We also treat a couple of families of real quadratic fields of Richaud-Degert…

Class group of real cyclotomic fields

Primary rank of the class group of real cyclotomic fields

Lower bound for class number of certain real quadratic fields

On the structure of order 4 class groups of Q(n2+1​)

A note on certain real quadratic fields with class number upto three

On the structure of order 4 class groups of $Q (n^{2} + 1)$