Krishnarjun Krishnamoorthy

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20242026

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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…

Diophantine tuples and Integral Ideals of Q(d​)

On a conjecture about prime-detecting quasimodular forms

On variants of Chowla's conjecture

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