Arithmetic Geometry, Number Theory, and Computation
2021 ed.
Book Details
Format
Paperback / Softback
Book Series
Simons Symposia
ISBN-10
3030809161
ISBN-13
9783030809164
Edition
2021 ed.
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 16th, 2023
Print length
587 Pages
Product Classification:
Number theoryAlgebraic geometryMathematical theory of computation
Ksh 39,600.00
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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).
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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