Practical numbers and distribution of exponential sums

Date: 
Tuesday, November 15, 2016 - 2:00pm
Location: 
MSB 110
Speaker: 
Zhenyu Guo (University of Missouri, Columbia)

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A positive integer n is called practical if every positive integer m smaller than or equal to n can be expressed as a sum of distinct positive divisors of n. We show that the lower bound of the number of prime numbers p such that p-a is practical. I will show some other results related to estimations of exponential sums.