Hecke Characters and Angles of Gaussian Primes
- Date
- Oct 24, 2019
- Time
- 1:30 PM - 2:30 PM
- Speaker
- Ezra Waxman
- Affiliation
- TU Dresden, Institut für Algebra
- Series
- TUD Mathematik Algebra, Geometrie und Kombinatorik
- Language
- en
- Main Topic
- Mathematik
- Host
- Prof. Dr. A. Fehm
- Description
- A Gaussian prime is a prime element in the ring of Gaussian integers Z[i]. As the Gaussian integers lie on the plane, interesting questions about their geometric properties can be asked which have no classical analogue among the ordinary primes. Hecke proved that the Gaussian primes are equidistributed across sectors of the complex plane by making use of Hecke characters and their associated L-functions. In this talk I will present a refined conjecture for the variance of Gaussian primes across sectors, and introduce a function field analogue to the question of angular distribution across sectors.
- Links
Last modified: Oct 17, 2019, 4:16:30 PM
Location
TUD Willers-Bau (WIL B 321)Zellescher Weg12-1401069Dresden
- Homepage
- https://navigator.tu-dresden.de/etplan/wil/00
Organizer
TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
- Phone
- 49-351-463 33376
- Homepage
- http://tu-dresden.de/mathematik
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