题目：Translation Invariant Quadratic Forms and Dense Sets of Primes

报告人：赵立璐 教授 （山东大学）

地点：腾讯会议室

时间: 2020年11月17日 8:00-9:00

摘要: We consider the translation invariant quadratic forms over dense sets of prime numbers. Let f be a translation invariant quadratic form in ten variables. Subject to a suitable rank condition, we prove that $f$ has a nontrivial zero over dense subset of primes. The proof involves the Hardy-Littlewood method, the sieve method, Roth's method of density increment and Green's W-trick.

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