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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Zeros of complete symmetric polynomials over finite fields
有限域 完全对称 多项式 零点
2023/4/13
Wan and Zhang have recently obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields, and proposed a problem whether their bound can be improved. ...
Restriction estimates for the paraboloid over finite fields
Restriction estimates paraboloid over finite fields
2010/12/7
We prove certain endpoint restriction estimates for the paraboloid over finite fields in
three and higher dimensions. Working in the bilinear setting, we are able to pass from esti-
mates for charac...
Explicit incidence bounds over general finite fields
Explicit incidence bounds general finite fields
2010/12/9
Let Fq be a finite field of order q = pk where p is prime. Let P and L be sets of points and lines respectively in Fq×Fq with |P| = |L| = n. We establish the incidence bound I(P,L)
n 3 2 − 1...