K. Chakraborty

activity

20162026

most citedDivisibility of class numbers of certain families of quadratic fields

2 citations · 4 across the 13 of their papers we have counts for

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Showing 2021Show all

4 papers · 1 filter

math.NT2021

On some symmetries of the base $n$ expansion of $1/ m$ : Comments on Artin's Primitive root conjecture

Kalyan Chakraborty, Krishnarjun Krishnamoorthy

Suppose $m, n \geq 2$ are co prime integers. We prove certain new symmetries of the base $n$ representation of $1/ m$ , and in particular characterize the subgroup generated by $…

math.NT2021

On some symmetries of the base $n$ expansion of $1/ m$ : The Class Number connection

Kalyan Chakraborty, Krishnarjun Krishnamoorthy

Suppose that $m \equiv 1 mod 4$ is a prime and that $n \equiv 3 mod 4$ is a primitive root modulo $m$ . In this paper we obtain a relation between the class number of the imagin…

math.NT2021

On Moments of non-normal number fields

Kalyan Chakraborty, Krishnarjun K

Let $K$ be a number field over $Q$ and let $a_{K} (m)$ denote the number of integral ideals of $K$ of norm equal to $m \in N$ . In this paper we obtain asympt…

math.NT2021★ 2 cited

Generalized hypergeometric Bernoulli numbers

Kalyan Chakraborty, Takao Komatsu

We introduce generalized hypergeometric Bernoulli numbers for Dirichlet characters. We study their properties, including relations, expressions and determinants. At the end in Appe…

On some symmetries of the base n expansion of 1/m : Comments on Artin's Primitive root conjecture

On some symmetries of the base n expansion of 1/m : The Class Number connection

On Moments of non-normal number fields

Generalized hypergeometric Bernoulli numbers

On some symmetries of the base $n$ expansion of $1/ m$ : Comments on Artin's Primitive root conjecture

On some symmetries of the base $n$ expansion of $1/ m$ : The Class Number connection