Non-vanishing of exponential sums

报告专家:万大庆(重庆大学)

报告时间:6月15日(周一)10:30-11:30

报告地点:四川大学数学学院西303

报告摘要:

The exponential sum of a polynomial over a finite field is an algebraic integer. In this lecture, we attempt to classify the degree of the polynomial for which the exponential sum is always non-zero. This leads to a deeper exponential sum analogue of the Carlitz–Wan conjecture for permutation polynomials as proven by Lenstra. Along the way, Lang-Trotter conjecture for exponential sums will be discussed. 



邀请人:洪绍方


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