Variations on the Chebychev bias phenomenon
Introductory Workshop: Analytic Number Theory February 06, 2017 - February 10, 2017
Location: SLMath: Eisenbud Auditorium
Chebychev bias
elliptic curves
sums of arithmetic functions
arithmetic in relation to conjectures
Variations On The Chebychev Bias Phenomenon
Chebychev's bias, in its classical form, is the preponderance in ``most'' intervals [2,x] of primes that are 3 modulo 4 over primes that are 1 modulo 4. Recently many generalizations and variations on this phenomenon have been explored. We will highlight the role played by some wide open conjectures on L-functions in the study of Chebychev's bias. Our focus will be on analogues of Chebychev's question to elliptic curves. In the case where the base field is a function field (of a curve over a finite field) we will report on joint work with Cha and Fiorilli and explain how unconditional results can be obtained
Jouve Notes
|
Download |
Variations On The Chebychev Bias Phenomenon
H.264 Video |
18-Jouve_a.mp4
|
Download |
H.264 Video |
18-Jouve_b.mp4
|
Download |
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.