Event Type:

Number Theory Seminar

Date/Time:

Tuesday, October 20, 2015 - 16:00 to 17:00

Location:

Kidder 350

Guest Speaker:

Institution:

Davidson College

Abstract:

Experimental mathematics advocates the use of substantial computation and

extensive searches to create and refine conjectures, discover algebraic

identities, and detect extremal behavior. We describe some recent results

in number theory obtained by using an experimental approach. In particular,

we describe two recent projects involving polynomials in some detail: one

with T. Trudgian concerning an expansion of the known zero-free region of

the Riemann zeta function, and a second with K. Hare regarding some

properties of small Pisot and Salem numbers.