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Congruent number theta coefficients to 10¹²
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Hart, William B., Tornaria, Gonzalo and Watkins, Mark (2010) Congruent number theta coefficients to 10¹². In: 9th International Symposium on Algorithmic Number Theory, Inst Natl Rech Informat Automat, Nancy, France, 19-23 Jul 2010. Published in: Lecture Notes in Computer Science, Volume 6197 pp. 186-200. ISSN 0302-9743.
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WRAP_Hart_0584144-ma-270913-congruent.pdf - Submitted Version Download (442Kb) | Preview |
Official URL: http://dx.doi.org/10.1007/978-3-642-14518-6_17
Abstract
We report on a computation of congruent numbers, which subject to the Birch and Swinnerton-Dyer conjecture is an accurate list up to 10(12). The computation involves multiplying long theta series as per Tunnell (1983). The method, which we describe in some detail, uses a multimodular disk based technique for multiplying polynomials out-of-core which minimises expensive disk access by keeping data truncated.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Computer science -- Mathematics, Algorithms | ||||
Journal or Publication Title: | Lecture Notes in Computer Science | ||||
Publisher: | Springer | ||||
ISSN: | 0302-9743 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Volume 6197 | ||||
Page Range: | pp. 186-200 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), National Science Foundation (U.S.) (NSF) | ||||
Grant number: | EP/G004870/1 (EPSRC) ; DMS-0757627 | ||||
Adapted As: | The submitted paper lists five authors, but two authors names were removed upon submission, and so the published version shows three authors. The submitted version authors include, Robert Bradshaw and David Harvey. | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | 9th International Symposium on Algorithmic Number Theory | ||||
Type of Event: | Other | ||||
Location of Event: | Inst Natl Rech Informat Automat, Nancy, France | ||||
Date(s) of Event: | 19-23 Jul 2010 |
Data sourced from Thomson Reuters' Web of Knowledge
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