broadcast in Room 509, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館509教室直播/收播)
Square-free orders for elliptic curves modulo p
Peng-Jie Wong (NCTS)
Abstract
Let 
be an elliptic curve defined over 
, and let 
%24&chf=bg,s,333333&chco=ffffff)
denote the mod 
reduction of 
. There is a question of estimating the number of primes 
such that %7C%24&chf=bg,s,333333&chco=ffffff)
is square-free, which can be seen as an intermediate problem between the cyclicity problem for %24&chf=bg,s,333333&chco=ffffff)
and Koblitz's conjecture on the primality of In this talk, we will discuss Cojocaru's work and some of the average results, improvements, and short interval variants for such a square-freeness problem. If time allows, we will then briefly sketch the proofs for some of the results.
WebEx Link:
https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m59d2b9b05c0776b113567b1e72821d70
Meeting number (access code): 2515 912 4780
Meeting password: gZdCPyh9J72
