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Primes, exponential sums, and L-functions

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Authors : Banks, William (Author of the conference)
CIRM (Publisher )

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Abstract : This talk will survey some recent directions in the study of prime numbers that rely on bounds of exponential sums and advances in sieve theory. I will also describe some new results on the Riemann zeta function and Dirichlet functions, and pose some open problems.

MSC Codes :
11L07 - Estimates on exponential sums
11L20 - Sums over primes
11N05 - Distribution of primes
11N36 - Applications of sieve methods
11S40 - Zeta functions and $L$-functions

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 13/04/16
    Conference Date : 30/03/16
    Subseries : Research talks
    arXiv category : Number Theory
    Mathematical Area(s) : Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 00:41:16
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2016-03-30_Banks.mp4

Information on the Event

Event Title : Dynamics and graphs over finite fields: algebraic, number theoretic and algorithmic aspects / Dynamique et graphes sur les corps finis : aspects algebriques, arithmétiques et algorithmiques
Event Organizers : Chang, Mei-Chu ; von zur Gathen, Joachim ; Ostafe, Alina ; Pappalardi, Francesco
Dates : 29/03/16 - 02/04/16
Event Year : 2016
Event URL : http://conferences.cirm-math.fr/1391.html

Citation Data

DOI : 10.24350/CIRM.V.18952103
Cite this video as: Banks, William (2016). Primes, exponential sums, and L-functions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18952103
URI : http://dx.doi.org/10.24350/CIRM.V.18952103

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