Here is a report summarizing the workshop.

Workshop Problem List

In lieu of having a problem session during the workshop, we will be creating a list of open problems related to the theme of the workshop, including any of the topics:

• moments and zeros of L-functions

• non-vanishing of L-functions

• multiple Dirichlet series

• shifted convolution sums

• random matrix theory

• spectral theory of automorphic forms

We will circulate this list of problems to participants during the week of the workshop, and it will remain available afterwards as well.

Our hope is that this list will stimulate research and lead to future collaborations amongst workshop participants. In particular, problems on the list are intended to be available for anyone to decide to work on. We encourage you to contribute any open problems that you don’t mind sharing, or problems that you’re not actively working on (unless you are seeking collaborators). Each problem that is listed will have the name and affiliation of the submitter unless requested otherwise. Please send suitable problems to Nathan Ng ⟨nathan dot ng  at uleth dot ca⟩ using LaTeX syntax; please send the uncompiled TeX source so that we can combine them into one master list.

Contributions from EDI Sessions

The workshop EDI session was split in two parts was and directed by Aman Litt (UNBC Associate Vice-President, Equity, Diversity and Inclusion).

These are the participants' answers to questions regarding the theme How Can We Make Math (Conferences) More Inclusive? 

Videos and Slides from Talks

• Brandon Alberts, Moments of L-functions in the world of number field counting

• Emma Bailey, Large deviations of Selberg’s central limit theorem and applications

• Siegfried Baluyot, The recipe for moments of L-functions 

• Vorrapan Chandee, Moments of large families of Dirichlet L-functions

• Fatma Çiçek, Discrete Moments

• Mithun Das, Asymptotic mean square of product of higher derivatives of the zeta-function and Dirichlet polynomials

• Atul Dixit, Lambert series of logarithm and a mean value theorem for ζ(1/2–it)ζ′(1/2+it)

• Alexei Entin, Local statistics for zeros of Artin–Schreier L-functions

• Alessandro Fazzari, Averages of long Dirichlet polynomials with modular coefficients

• Alexandra Florea, Negative moments of the Riemann zeta function

• Bingrong Huang, Quantum variance for automorphic forms

• Peter Humphries, Geodesic restrictions of Maass forms and moments of Hecke L-functions

• Rizwanur Khan, Lp-norm bounds for automorphic forms

• Kevin Kwan, Moments and periods for GL(3)

• Matilde Lalín, Distributions of sums of the divisor function over function fields

• Min Lee, An extension of Venkatesh’s converse theorem to the Selberg class

• Hua Lin, One-level density of zeros of Dirichlet L-functions over function fields 

• Allysa Lumley, Selberg’s central limit theorem for quadratic Dirichlet L-functions over function fields 

• David Nguyen, Ternary correlations: algorithms and numerics

• Manish Patnaik, Moments from an infinite-dimensional perspective

• Andrew Pearce-Crump, The generalised Shanks’s conjecture

• Anurag Sahay, Moments of the Hurwitz zeta function

• Praneel Samanta, Double square moments and bounds for resonance sums for cusp forms

• Aditi Savalia, Limitations to equidistribution in arithmetic progressions

• Quanli Shen, The eighth moment of the Riemann zeta function

• Jakob Streipel, Twisted first moment of GL(3) × GL(2) L-functions

• Tim Trudgian, Logging of the zeta-function, but only for a few moments! 

• Ian Whitehead, The third moment of quadratic L-Functions

Photos

Photos taken during the workshop can be found on the People page.