Thursday, October 31, 2013 1:30 pm
-
1:30 pm
EDT (GMT -04:00)
Chester Weatherby, Wilfrid Laurier University
"A generalization of Euler's theorem for (2k)."
We
will
explicitly
evaluate
the
sum
P
n2Z
1
(n2+Bn+C)k
for
parameters
B;C.
The
approach
will
involve
Fourier
methods
as
well
as
some
simple
combinatorics.
Once
an
explicit
form
is
calculated,
we
are
able
to
say
something
about
the
transcendence
of
these
sums
in
special
cases.