Krishnarjun Krishnamoorthy

activity

20212026

most citedOn Moments of non-normal number fields

6 citations · 13 across the 11 of their papers we have counts for

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4 papers · 1 filter

math.NT2021

A Note on Holomorphic Quantum Unique Ergodicity

Krishnarjun Krishnamoorthy

In this paper we give a new proof of the Quantum Unique Ergodicity conjecture for holomorphic integral weight modular forms on the upper half plane. The proof requires only partial…

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★ 5 cited

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★ 6 cited

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…

A Note on Holomorphic Quantum Unique Ergodicity

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

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