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MathematischeGesellschaft
Angles of Gaussian primes
22.11.2018, 16:15 - 17:15
Speaker:Prof. Zeev Rudnick, Tel-Aviv University
Location:Mathematisches Institut, Bunsenstr 3-5MaximumGras Geo Map
Organizer:Mathematisches Institut
Details:
Fermat showed that every prime p ≡ 1 mod 4 is a sum of two squares: p = a2 + b2, and hence such a prime gives rise to an angle whose tangent is the ratio b/a. Do these angles exhibit order or randomness? I will discuss the statistics of these angles and present a conjecture, motivated by a random matrix model and by function field considerations. (joint work with Ezra Waxman).
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Type:Colloquium
Language:English
Category:Research
Host:Prof. Dr. Jörg Brüdern
Contact:Annalena Wendehorst0551-397752Annalena.Wendehorst@mathematik.uni-goettingen.de
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