报告人：张蕊

题目：Roth-type theorem with unequal powers of Piatetski-Shapiro primes

摘要：In this talk, we will investigate the existence of nontrivial solutions for mixed-power equations in which the variables are restricted to two distinct Piatetski-Shapiro prime sets. Specifically, we consider equations involving squares and cubes, with nonzero integer coefficients satisfying translation invariance. By applying the transference principle, we establish a Roth-type theorem: under a certain lower bound for the product of the densities of the two prime sets, the equation has nontrivial solutions.

个人简介：张蕊，天津理工大学数学科学学院讲师，新葡的京集团35222vip理学博士。研究领域为解析数论，主要研究方向包括例外集问题、Goldbach–Linnik 型问题以及Roth 型定理等。在《Acta Arithmetica》,《Journal of Number Theory》等国际学术期刊上发表多篇学术论文。

邀请人：王志伟 新葡的京集团35222vip教授

报告时间：2026年7月10日 10:40-11:40

报告地点：知新楼B1044