Date : January, 25th, 2007      Time : Thursday, 3-4pm      Place : New Science Building 127

Title :High precision computations related to the Riemann zeta function

(Students enrolled in PHYS 401 and 501 are required to attend. All students should hand in Today a research topics selected for this semester. A 15 minutes power point presentation about your research should be given during the last 3 weeks of the semester arranged in alphabetic order of your last name) 

Speaker : Prof. Richard Kreminski, SB (Biology), MIT, 1981; MA, Maryland, 1990; PhD, Maryland (Interdisciplinary Applied Mathematics), 1994. PhD  

Affiliation :Department of Math, Texas A&M-Commerce 

Abstract : Riemann's work has inspired a tremendous amount of activity, by both mathematicians and physicists, since his death at age 39 in 1866.  A student of Gauss, his legacy is impressive: despite publishing only about a dozen papers, Riemann contributed what are now know as Riemannian manifolds, Riemann surfaces, Riemann-integrability, the Riemann mapping theorem, the Riemann sphere, the Riemann zeta function, and the Riemann ypothesis (among other things). In this talk we discuss some work on high-precision values of constants associated to the Riemann zeta function, the so-called generalized Euler or Stieltjes constants, and related constants, and how they provide numerical evidence in support of the Riemann Hypothesis.  (Note that the Riemann hypothesis is considered by many to be the #1 problem in mathematics - and is one of the seven Clay Institute Millenium problems, each coming with a $1,000,000 prize for whoever resolves the problem.)  Some general connections to interests among physicists will be made.

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