Bo Xiong

collaborators

2 papers

math.NT2025

Product of Eisenstein series with multiplicative power series

Boyuan Xiong

We say a power series $a_{0} + a_{1} q + a_{2} q^{2} + \dots$ is \emph{multiplicative} if $n \mapsto a_{n} / a_{1}$ for positive integers $n$ is a multiplicative function. Given the Eisenstein series $E…

math.NT2025

Prime values of Ramanujan's tau function

Boyuan Xiong

We study the prime values of Ramanujan's tau function $I ¨ (n)$ . Lehmer found that $n = 25 1^{2} = 63001$ is the smallest $n$ such that $I ¨ (n)$ is prime: $$Ï(251^2)=-8056166352780240625732…