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Friday - January 22, 2016
Room: B660
Time: 12:00 to 12:50 pm
FRANCESCO PAPPALARDI
Title: On reduction of groups of rational numbers
Abstract: We shall start by outlining some aspects of the long history of the Artin Conjecture. Then we shall consider a multiplicative subgroup G of Q*. If p is a prime for which the valuation Vp(X) = 0 for every x in G, then the group Gp={x(mod p) : x is in G} is a well defined subgroup of Fp. We will consider various properties of Gp as p varies and propose various new results in analogy with the old Artin Conjecture for Primitive roots.
Bio: Francesco Pappalardi is a leading expert in analytic number theory and its applications in distribution problems such as the celebrated Artin primitive root and Lang-Trotter conjectures. Dr. Pappalardi is an Associate Profesor of Algebra at the Universita Rome Tre in Italy.
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science
