|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Primes, Polynomials and Random Matrices
If you have a question about this talk, please contact Bob Hough.
The Prime Number Theorem tells us roughly how many primes lie in a given long interval. We have much less knowledge of how many primes lie in short intervals, and this is the subject of a conjecture due to Goldston and Montgomery. Likewise, we also have much less knowledge of how many primes lie in different arithmetic progressions. This is the subject of a conjecture due to Hooley. I will discuss the analogues of these conjectures for polynomials defined over function fields and outline how they can be proved using the theory of random matrices.
This talk is part of the Discrete Analysis Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other lists9th Annual Disability Lecture Cambridge Oceanography Group All transferable skills in the university: computing
Other talksCreation, Collaboration, Contemplation: Academic Libraries and the Digital Revolution DNA damage response: Mechanisms and relevance for cancer development and treatment Life on the Margins: Bruno Schulz and the Hasidic Kabbalah TBC (hypoxia signalling) The 2015 Pregnancy Summit A simple cognitive task to reduce intrusive memories after a road traffic accident