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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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On sums over Gaussian integers
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by D. G. Hazlewood PDF
Trans. Amer. Math. Soc. 209 (1975), 295-310 Request permission

Abstract:

The object of this paper is to give asymptotic estimates for some number theoretic sums over Gaussian integers. As a consequence of general estimates, asymptotic estimates with explicit error terms for the number of Gaussian integers with only “large” prime factors and for the number of Gaussian integers with only “small” prime factors are given.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 209 (1975), 295-310
  • MSC: Primary 10H99
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0371842-6
  • MathSciNet review: 0371842