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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

An asymptotic formula in adele Diophantine approximations


Author: Melvin M. Sweet
Journal: Trans. Amer. Math. Soc. 195 (1974), 81-96
MSC: Primary 10F30
MathSciNet review: 0374043
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Abstract: In this paper an asymptotic formula is found for the number of solutions of a system of linear Diophantine inequalities defined over the ring of adeles of an algebraic number field. The theorem proved is a generalization of results of S. Lang and W. Adams.


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DOI: https://doi.org/10.1090/S0002-9947-1974-0374043-X
Article copyright: © Copyright 1974 American Mathematical Society