**General Information**

This seminar is a meeting place for researchers and students to learn about recent results and trends in number theory. The seminar takes place in the Exactum building of the University of Helsinki. Most talks are scheduled in C124, on Monday mornings from 11:10-12:00. The seminar is organised by Jacques Benatar and Neea Palojärvi and supported by the Centre of Excellence (FiRST).

**Past talks**

June 13: Jukka Kohonen (Aalto University)

Title: Formalizing elementary additive number theory in Lean

May 17: Igor Shparlinski (UNSW),

Title: Ranks of matrices with polynomial entries

Apr 29: Kaisa Matomäki (University of Turku)

Title: Primes in arithmetic progressions and short intervals without L-functions

Apr 26: Jacques Benatar (University of Helsinki)

Title: A short-interval Hildebrand-Tenenbaum theorem

Apr 8, 2024: Anne-Maria Ernvall-Hytönen (University of Helsinki)

Title: Explicit estimate for Laguerre polynomial (joint work with Tapani Matala-aho)

Mar 25, 2024: Neea Palojärvi (University of Helsinki)

Title: On explicit estimates in analytic number theory

Mar 11, 2024: Wilmar Bolaños (Aalto University)

Title: The trace form over Abelian number fields

Mar 1, 2024: Mengdi Wang (University of Turku)

Title: Local Fourier uniformity of divisor functions

Feb 5, 2024: Bryce Kerr (UNSW Canberra)

Title: Large values of the error term in the prime number theorem

Jan 29, 2024: Théo Untrau (ENS Rennes)

Title: Equidistribution of some families of short exponential sums

Jan 15, 2024: Jesse Jääsaari (University of Turku)

Title: Mass Equidistribution for Saito-Kurokawa Lifts

Dec 4, 2023: Topi Törmä (University of Helsinki)

Title: A numerical approach to Littlewood’s conjecture

Dec 1, 2023: Andrew Granville (Université de Montréal)

Title: Sums of two squares one of which is a prime squared

Nov 27, 2023: Tapani Matala-aho (Aalto University)

Title: An analogue of Siegel’s determinant

Nov 13, 2023: Pavlo Yatsyna (Aalto University)

Title: Quadratic forms and totally real number fields