Bilkent Üniversitesi Matematik Bölümü Seminerleri
Some Combinatorial Applications of Cyclotomic Polynomials
Richard Stanley
Massachusetts Institute of Technology and University of Miami, Amerika Birleşik Devletleri
We begin with three combinatorial results involving (1) partition identities, (2) counting polynomials over finite fields, and (3) expressing Dirichlet series in terms of the Riemann zeta function. These results can be unified using free monoids and extended using cyclotomic polynomials. There is also a connection with numerical semigroups (submonoids M of the nonnegative integers N under addition such that N-M is finite).
NOT:
To request the Zoom link, please send an email to gokhan.yildirim@bilkent.edu.tr.Light refreshments will be served prior to the seminar.
