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Number Theory Lunch Seminar
Additive Triples of Bijections and the Circle Method on Finite Groups
Additive Triples of Bijections and the Circle Method on Finite Groups
演讲者
时间
2025年04月10日 12:15 至 13:00
地点
A4-1
摘要
Let $G$ be a finite group of order $n$, and let $S$ be the set of all bijections from $\{1, 2, \dots, n\}$ to $G$. We say that three bijections $\pi_1, \pi_2, \pi_3 \in S$ form an *additive triple* if $\pi_1 + \pi_2 = \pi_3$. In this talk, we explore how ideas from analytic number theory--particularly the circle method--can be adapted to estimate the number of such additive triples.