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Arithmetic Geometry, Number Theory, and Computation (Hardcover, 1st ed. 2021)
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Arithmetic Geometry, Number Theory, and Computation (Hardcover, 1st ed. 2021)
Series: Simons Symposia
Expected to ship within 12 - 17 working days
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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.
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