September 2023 On the arithmetic of polynomials with coefficients in Mordell-Weil type groups
Stefan Barańczuk
Funct. Approx. Comment. Math. 69(1): 105-112 (September 2023). DOI: 10.7169/facm/2105

Abstract

In this paper we prove the Hasse principle for polynomials with coefficients in Mordell-Weil type groups over number fields. Examples of such groups are (1) the groups of $S$-units in a number field, (2) abelian varieties with trivial ring of endomorphisms, and (3) odd algebraic $K$-theory groups.

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Stefan Barańczuk. "On the arithmetic of polynomials with coefficients in Mordell-Weil type groups." Funct. Approx. Comment. Math. 69 (1) 105 - 112, September 2023. https://doi.org/10.7169/facm/2105

Information

Published: September 2023
First available in Project Euclid: 15 September 2023

MathSciNet: MR4642609
Digital Object Identifier: 10.7169/facm/2105

Subjects:
Primary: 11G10
Secondary: 11R70

Keywords: local-global principle , Mordell-Weil groups , polynomials

Rights: Copyright © 2023 Adam Mickiewicz University

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Vol.69 • No. 1 • September 2023
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