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Number Theory SeminarExport this event to calendar

Thursday, March 23, 2017 - 1:30 PM EDT

Roger Baker, Brigham Young University

"Quadratics over the primes"

Let ||...|| denote distance from the nearest integer. Let f be a quadratic polynomial with irrational leading coefficient. We give a new result on small values of ||f(p)|| for infinitely many primes p. One technique that is used involves a lemma of Birch and Davenport on a real number with many rational approximations, and I will try to explain the role of this lemma in the work.

M3 3103

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