Alexandria Digital Research Library

Sophie Germain Primes and Landau-Siegel Zeros

Author:
Varney, Adam Kyle
Degree Grantor:
University of California, Santa Barbara. Mathematics
Degree Supervisor:
Jeffrey Stopple
Place of Publication:
[Santa Barbara, Calif.]
Publisher:
University of California, Santa Barbara
Creation Date:
2016
Issued Date:
2016
Topics:
Mathematics
Keywords:
Sophie Germain
Sieve Theory
Siegel Zero
Amicable
Landau
Genres:
Dissertations, Academic and Online resources
Dissertation:
M.A.--University of California, Santa Barbara, 2016
Description:

In this paper we investigate the relation b etween the existence of Landau-Siegel zeros, Sophie Germain primes, and amicable pairs. We base our work off of Dr. Heath-Brown's paper Prime Twins and Siegel Zeros. In particular, we provide the explicit details that the existence of infinitely many real characters with Landau-Siegel zeros implies the existence of infinitely many Sophie Germain primes. With our work, future research could be done to construct infinitely many amicable pairs.

Physical Description:
1 online resource (216 pages)
Format:
Text
Collection(s):
UCSB electronic theses and dissertations
ARK:
ark:/48907/f3wh2q1x
ISBN:
9781369146158
Catalog System Number:
990046969220203776
Rights:
Inc.icon only.dark In Copyright
Copyright Holder:
Adam Varney
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