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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.NT2026
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…