6 papers
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…
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…
Diophantine tuples and Integral Ideals of
Kalyan Chakraborty, Shubham Gupta, Krishnarjun Krishnamoorthy
Suppose is the fundamental discriminant associated with a quadratic extension of . We show that for every Diophantine -tuple with t…
On a conjecture about prime-detecting quasimodular forms
Ben Kane, Krishnarjun Krishnamoorthy, Yuk-Kam Lau
Motivated by weighted partition of that vanish if and only if is a prime, Craig, van Ittersum, and Ono conjecture a classification of quasimodular forms which detect primes…
On variants of Chowla's conjecture
Krishnarjun Krishnamoorthy
We study the shifted convolution sums associated to completely multiplicative functions taking values in and give combinatorical proofs of two recent results in the dir…
Determination of Hilbert modular forms using squarefree coefficients
Rishabh Agnihotri, Krishnarjun Krishnamoorthy
Let (over ) be a totally real number field of narrow class number . We generalize a result of Kohnen on the determination of half integral weight modular forms b…