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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