Department of Mathematics
Texas A & M - Commerce
Student/Faculty Colloquium
Thursday, October 12, 2006
Room TBA, 2:00pm
Hasan Coskun,
Texas A & M - Commerce math department,
will speak on:
An infinite family of Euler’s pentagonal number theorems associated to
root systems
Abstract:
An elliptic BC generalization of the classical two
parameter Bailey Lemma will be given, and a basic (trigonometric) one
parameter BC Bailey Lemma will be presented as a
limiting case. Several summation and transformation formulas associated
with the root system BC will be proved as
applications, including a multiple 6φ5 summation
formula. This identity will be specialized to generate an infinite
family of multiple multilateral series, generating an infinite family
of Dn Euler’s Pentagonal Number Theorems. A particular
instance of this infinite family gives rise to a Dn Euler's
Pentagonal Number Theorem in terms of determinants of theta functions.