L-Functions in Analytic Number Theory: 2022 - 2025

Analytic number theory focuses on arithmetic questions through the lens of L-functions. These generating series encode arithmetic information and have connections with a host of other mathematical fields, such as algebraic number theory, harmonic analysis, Diophantine approximation, probability, representation theory, and computational number theory. The main focuses of this CRG include moments of L-functions and automorphic forms, explicit results in analytic number theory, and comparative prime number theory.

 

For more details about this event, please see the L-functions CRG website.

 

CRG Organizers

  • Alia Hamieh (UNBC)
  • Habiba Kadiri (ULethbridge)
  • Greg Martin (UBC)
  • Nathan Ng (ULethbridge)

 

Events

  • 17-Jun-24
  • 21-Jun-24
  • 11-Mar-24

L-functions in Analytic Number Theory: Sneha Chaubey

Distribution of spacings of real-valued sequences   more››

Scientific Event

  • 4-Mar-24

L-functions in Analytic Number Theory: Julia Stadlmann

Primes in arithmetic progressions to smooth moduli [video]   more››

Scientific Event

  • 26-Feb-24

L-functions in Analytic Number Theory: Biitu

Spacing statistics of the Farey sequence [video]   more››

Scientific Event

  • 5-Feb-24

L-functions in Analytic Number Theory: Eugenia Rosu

A higher degree Weierstrass function   more››

Scientific Event

  • 29-Jan-24

L-functions in Analytic Number Theory: Emily Quesada-Herrera

Fourier optimization and the least quadratic non-residue [video]   more››

Scientific Event

  • 22-Jan-24

L-functions in Analytic Number Theory: Winston Heap

Mean values of long Dirichlet polynomials [video]   more››

Scientific Event

  • 16-Jan-24

L-functions in Analytic Number Theory: Chiara Bellotti

Explicit bounds for ζ and a new zero free region [video]   more››

Scientific Event

  • 27-Nov-23

L-functions in Analytic Number Theory: Siegfred Baluyot

Twisted moments of characteristic polynomials of random matrices [video]   more››

Scientific Event

  • 20-Nov-23

L-functions in Analytic Number Theory: Andrew Pearce-Crump

Characteristic polynomials, the Hybrid model, and the Ratios Conjecture [video]   more››

Scientific Event

  • 16-Oct-23

L-functions in Analytic Number Theory: Neea Palojärvi

Conditional estimates for logarithms and logarithmic derivatives in the Selberg class [video]   more››

Scientific Event

  • 25-Sep-23

L-functions in Analytic Number Theory: Cruz Castillo

Sign changes of the error term in the Piltz divisor problem [video]   more››

Scientific Event

  • 18-Sep-23

L-functions in Analytic Number Theory: Vorrapan Chandee

The eighth moment of Γ1(q) L-functions   more››

Scientific Event

  • 2-Jul-23
  • 15-Jul-23
  • 1-Mar-23

L-functions in Analytic Number Theory: Ghaith Hiary

A new explicit bound for the Riemann zeta function [video]   more››

Scientific Event

  • 15-Feb-23

L-functions in Analytic Number Theory: Asif Zaman

A uniform prime number theorem for arithmetic progressions   more››

Scientific Event

  • 11-Jan-23

L-functions in Analytic Number Theory: Youness Lamzouri

Zeros of linear combinations of L-functions near the critical line [video]   more››

Scientific Event

  • 1-Dec-22

PIMS CRG Seminar Series: L-functions in Analytic Number Theory: Anurag Sahay

The value distribution of the Hurwitz zeta function with an irrational shift [video]   more››

Scientific Event

  • 24-Nov-22

PIMS CRG Seminar Series: L-functions in Analytic Number Theory: Sanoli Gun

On non-Archimedean analogue of a question of Atkin and Serre   more››

Scientific Event

  • 17-Nov-22

PIMS CRG Seminar Series: L-functions in Analytic Number Theory: Atul Dixit

Voronoï summation formula for the generalized divisor function σ(k)z (n)   more››

Scientific Event