Krishnarjun Krishnamoorthy

collaborators

3 papers

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.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 $…

Diophantine tuples and Integral Ideals of Q(d​)

On a conjecture about prime-detecting quasimodular forms

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

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