Prime detecting partition functions
组织者
演讲者
克里希纳尔俊·克里希纳穆尔蒂
时间
2025年10月15日 10:30 至 11:30
地点
A6-101
线上
Zoom 559 700 6085
(BIMSA)
摘要
We discuss a recent discovery of Craig et al. on prime detecting partition functions. We describe the structure of quasi-modular forms that detect primes, showing that they cannot have a cuspidal component. The proof follows by studying sign changes of quasi-modular forms. We shall state the generalization for forms of higher level. If time permits, we also describe an equivalent condition for prime detecting divisor functions using the Riemann zeta function. This is a joint work with Ben Kane and Yuk-Kam Lau.