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Arithmetic Geometry, Number Theory, and Computation

Language EnglishEnglish
E-book Adobe ePub DRM
E-book Arithmetic Geometry, Number Theory, and Computation Jennifer S. Balakrishnan
Libristo code: 41014414
Publishers Springer, March 2022
This volume contains articles related to the work of the Simons Collaboration "e;Arithmetic Geom... Full description
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This volume contains articles related to the work of the Simons Collaboration "e;Arithmetic Geometry, Number Theory, and Computation."e; 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.

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About the book

Full name Arithmetic Geometry, Number Theory, and Computation
Author Jennifer S. Balakrishnan, Noam Elkies, Brendan Hassett, Bjorn Poonen, Andrew V. Sutherland, John Voight
Language English
Binding E-book - Adobe ePub DRM
Date of issue 2022
EAN 9783030809140
Libristo code 41014414
Publishers Springer

Categories

Mathematics & Science > Mathematics > Geometry > Algebraic geometry
Mathematics & Science > Mathematics > Number theory
Computing & Information Technology > Computer science
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