Abstract:

Very little is known about the distribution of primitive roots of a prime pp. Grosswald conjectured that the least primitive root of a prime p is less than p–√−2p−2 for all p>409p>409. While this is certainly true for all pp sufficiently large, Grosswald’s conjecture in still open. I shall outline some recent work which resolves the conjecture completely under the Generalised Riemann Hypothesis and which almost resolves the conjecture unconditionally.

Speaker

Tim Trudgian

Research Area
Affiliation

UNSW Canberra

Date

Wed, 16/08/2017 - 3:00pm

Venue

RC-4082, The Red Centre, UNSW