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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20250926T110000
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URL:https://uwaterloo.ca/pure-mathematics/events/student-number-theory-semi
 nar-85
SUMMARY:Student Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:OWEN SHARPE\, UNIVERSITY OF WATERLOO\n\n_Vaughan's Identity\, E
 xponential Sums over Primes\, and Exponential\nSums with Additive Coeffici
 ents_\n\nVaughan's Identity is a technique for summing sequences of the fo
 rm\nf(n) Lambda(n)\, where Lambda(n) is the von Mangoldt function. We appl
 y\nit to f(n) = e(alpha n) to obtain asymptotics for the sums of\nsequence
 s of the form e(alpha p). Finally\, we show an application to\nsumming seq
 uences of the form f(n) e(alpha n)\, where f is an additive\nfunction sati
 sfying f(p) = 1 for all prime p. \n\nMC 5479
DTSTAMP:20260502T041615Z
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