Arithmetic Geometry, Number Theory, and Computation

Know about the book -

Arithmetic Geometry, Number Theory, and Computation is written by Jennifer S. Balakrishnan and published by Springer Nature. It's available with International Standard Book Number or ISBN identification 3030809145 (ISBN 10) and 9783030809140 (ISBN 13).

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.