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Artin’s primitive root conjecture: classically and over Fq[T]

June 6, 2023 at 16:0017:00 CEST

International Seminar on Automorphic Forms

In 1927, E. Artin proposed a conjecture for the number of primes p ≤ x, for which g generates (ℤ/pℤ)x. By observing numerical deviations from Artin’s originally predicted asymptotic, Derrick and Emma Lehmer (1957) identified the need for an additional correction factor; leading to a modified conjecture that was eventually proved correct by Hooley (1967), under the assumption of the Generalized Riemann Hypothesis (GRH). In this talk we discuss several variants of Artin’s conjecture: namely an “Artin Twin Primes Conjecture”, as well as an appropriate analogue of Artin’s primitive root conjecture for algebraic function fields.

Ezra Waxman (University of Haifa)

You can join the Zoom meeting at https://tu-darmstadt.zoom.us/j/68048280736

The password is the first Fourier coefficient of the modular j-function (as digits).


June 6, 2023
16:00 – 17:00 CEST


Claire Burrin
Christina Röhrig
Yingkun Li
Riccardo Zuffetti