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

collaborators

Showing math.NTShow all

11 papers · 1 filter

math.NT2026

On a conjecture of Corradi and Katai

Krishnarjun Krishnamoorthy

We consider Goldbach type sums corresponding to the Liouville function and prove the existence of sufficient cancellations. We also consider applications to sign patterns in the Li…

math.NT2025

Prime detecting quasi-modular forms in higher level

Ben Kane, Krishnarjun Krishnamoorthy, Yuk-Kam Lau

In a previous work, the authors resolved a conjecture about the structure of prime-detecting quasi-modular forms by studying sign changes occurring in quasi-modular cusp forms. In…

math.NT2025

Diophantine tuples and Integral Ideals of $Q (d)$

Kalyan Chakraborty, Shubham Gupta, Krishnarjun Krishnamoorthy

Suppose $n$ is the fundamental discriminant associated with a quadratic extension of $Q$ . We show that for every Diophantine $m$ -tuple ${t_{1}, t_{2}, \dots, t_{m}}$ with t…

math.NT2025

On a conjecture about prime-detecting quasimodular forms

Ben Kane, Krishnarjun Krishnamoorthy, Yuk-Kam Lau

Motivated by weighted partition of $n$ that vanish if and only if $n$ is a prime, Craig, van Ittersum, and Ono conjecture a classification of quasimodular forms which detect primes…

math.NT2025

On variants of Chowla's conjecture

Krishnarjun Krishnamoorthy

We study the shifted convolution sums associated to completely multiplicative functions taking values in ${\pm 1}$ and give combinatorical proofs of two recent results in the dir…

math.NT2024

Determination of Hilbert modular forms using squarefree coefficients

Rishabh Agnihotri, Krishnarjun Krishnamoorthy

Let $F$ (over $Q$ ) be a totally real number field of narrow class number $1$ . We generalize a result of Kohnen on the determination of half integral weight modular forms b…

math.NT2023★ 2 cited

Moments of non-normal number fields -- II

Krishnarjun Krishnamoorthy

Suppose $K$ is a number field and $a_{K} (m)$ is the number of integral ideals of norm equal to $m$ in $K$ , then for any integer $l$ , we asymptotically evaluate the sum \[ \sum_{m\leq…

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…

On a conjecture of Corradi and Katai

Prime detecting quasi-modular forms in higher level

Diophantine tuples and Integral Ideals of Q(d​)

On a conjecture about prime-detecting quasimodular forms

On variants of Chowla's conjecture

Determination of Hilbert modular forms using squarefree coefficients

Moments of non-normal number fields -- II

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

Diophantine tuples and Integral Ideals of $Q (d)$

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