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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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An asymptotic formula in adele Diophantine approximations
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by Melvin M. Sweet PDF
Trans. Amer. Math. Soc. 195 (1974), 81-96 Request permission

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.
References
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 195 (1974), 81-96
  • MSC: Primary 10F30
  • DOI: https://doi.org/10.1090/S0002-9947-1974-0374043-X
  • MathSciNet review: 0374043