株式会社極東書店トップ商品一覧Arithmetic Geometry, Number Theory, and Computation. 1st ed. 2021.

商品詳細

Arithmetic Geometry, Number Theory, and Computation.

Arithmetic Geometry, Number Theory, and Computation. 1st ed. 2021.

・ISBN 978-3-030-80913-3 hard EUR 229.99

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お気に入り
著者・編者Balakrishnan, Jennifer S. / Elkies, Noam / Hassett, Brendan / Poonen, Bjorn / Sutherland, Andrew V. / Voight, John (eds.),
シリーズSimons Symposia
出版社(Springer Nature Switzerland AG, SZ)
出版年月2022
ページ数587 pp.
言語ENG
ニュース番号<M25-6166>

解説

This volume contains articles related to the work of the Simons Collaboration "Arithmetic Geometry, Number Theory, and Computation." The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research.
Specific topics include? algebraic varieties over finite fields? the Chabauty-Coleman method? modular forms? rational points on curves of small genus? S-unit equations and integral points.