Sophie Germain Primes and Landau-Siegel Zeros
- 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,
Landau, and
Amicable - Genres:
- Online resources and Dissertations, Academic
- 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
- Other Versions:
- http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:10159687
- ARK:
- ark:/48907/f3wh2q1x
- ISBN:
- 9781369146158
- Catalog System Number:
- 990046969220203776
- Copyright:
- Adam Varney, 2016
- Rights:
In Copyright- Copyright Holder:
- Adam Varney
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