|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 listsCambridge Climate and Sustainability Forum World History Workshop Reading Group George Pitt-Rivers Seminar Series
Other talksTowards a better communication between theory and imperfect realities of professional practice - On barriers among stakeholders and possible ways out Sino-Russian Oil and Gas Cooperation: Where it stands and how far it can go? Cambridge Rare Disease Network International Summit “Network modeling of topological domains using Hi-C data” Inside the Macclesfield Psalter Climate change and local wildlife