## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Visit our **COVID-19 Information website** for information on our response to the pandemic.

Please note: The University of Waterloo is closed for all events until further notice.

Tuesday, October 8, 2019 — 1:30 PM EDT

**Ertan Elma, Department of Pure Mathematics, University of Waterloo**

"Discrete Mean Values of Dirichlet *L*-functions"

Let χ be a Dirichlet character modulo a prime number *p* ⩾ 3 and let \mathfrak *a*_χ:=(1-χ(-1))/2. Define the mean value

\begin{align*}

\mathcal{M}_{p}(s,\chi):=\frac{2}{p-1}\sum_{\substack{\psi \bmod p\\\psi(-1)=-1}}L(1,\psi)L(s,\chi\overline{\psi})

\end{align*}

for a complex number *s* such that *s*≠ 1 if \mathfrak a _χ=1.

Tuesday, October 8, 2019 — 2:30 PM EDT

**Brett Nasserden, Department of Pure Mathematics, University of Waterloo**

"Normal forms of dominant polynomial morphisms of the affine plane"

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1