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报告题目：The products of primes and almost primes in arithmetic progressions
报 告 人：赵立璐，山东大学
报告摘要：Erdos asked whether all reduced classes a modulo q can be represented in the form p_1 p_2≡a mod q, wherep_1,p_2≤q are primes. In recently years, there are some approximations to the above problem with primes replaced by almost primes. In 2013 Shparlinski proved that there exist a prime p≤q and a P_17-number n≤q such that pn≡a mod q. In 2016, Walker proved that p_1 〖…p〗_48≡a mod q is solvable in 48 prime variables below q. In this talk, we provide some improvement upon above results.
报告人简介：赵立璐，山东大学数学院教授，博士生导师，主要研究解析数论和组合数论。获得香港数学学会优秀博士论文奖, 山东大学齐鲁青年学者特聘教授, 国家自然科学基金优秀青年基金获得者。主持5项国家自然科学基金项目，相关成果发表在Crelle, Proc. London Math. Soc., Int. Math. Res. Not.等国际综合数学期刊。
报告时间：2022年5月27日 9:00-10:00
报告地点：腾讯会议ID：121 235 9902
主办单位：数学与统计学院
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