Elliptic curves, \(L\)-functions, and Hilbert's tenth problem

DOI10.1016/j.jnt.2017.07.008zbMath1441.11300OpenAlexW2753489302MaRDI QIDQ2406359

Hector Pasten, M. Ram Murty

Publication date: 27 September 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.07.008

zbMATH Keywords

rings of integersHilbert's tenth problemranks of elliptic curves

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (4)

NOTES ON THE DPRM PROPERTY FOR LISTABLE STRUCTURES ⋮ Existential definability and diophantine stability ⋮ Superficies elípticas y el décimo problema de Hilbert ⋮ Towards Hilbert's tenth problem for rings of integers through Iwasawa theory and Heegner points

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