Arithmetic Geometry, Number Theory, and Computation

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...

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Detalles Bibliográficos
Otros Autores: Balakrishnan, Jennifer S, editor (editor), Elkies, Noam, editor, Hassett, Brendan, editor, Poonen, Bjorn, editor, Sutherland, Andrew V, editor, Voight, John, editor
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cham : Springer International Publishing 2021.
Edición:1st ed
Colección:Springer eBooks.
Simons Symposia.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b46287255*spi
Descripción
Sumario: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.
Descripción Física:X, 587 páginas, 48 ilustraciones, 36 ilustraciones (color)
Formato:Forma de acceso: World Wide Web.
ISBN:9783030809140