ID - 131869238 TI - Arithmetic Geometry, Number Theory, and Computation AU - Balakrishnan, Jennifer S. AU - Elkies, Noam AU - Hassett, Brendan AU - Poonen, Bjorn AU - Sutherland, Andrew V. AU - Voight, John PY - 2021 SN - 9783030809140 9783030809157 9783030809164 9783030809133 PB - Cham Springer International Publishing DB - UniCat KW - Number theory KW - Geometry KW - Computer science KW - landmeetkunde KW - toegepaste informatica KW - computers KW - getallenleer KW - computerkunde UR - https://www.unicat.be/uniCat?func=search&query=sysid:131869238 AB - 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. ER -