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On Numbers which can be Expressed as a Sum of Powers

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Number Theory and Analysis

Abstract

R. P. Bambah and S. Chowla [1] have proved that there exists in the interval r to r + 2(2 + δ)1/2 r 1/4 an integer which can be expressed as a sum of two integer squares if δ > 0 and r > R(δ). It is rather surprising that the order of magnitude of the estimate has never been improved, and it is not the object of this paper to do so.1)

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Reference

  1. R. P. Bambah and S. Chowla, On numbers which can be represented as a sum of two squares, Proceedings of the National Institute of Science of India 13, Nr. 2 (1947), 101–103.

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Paul Turán

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© 1969 Springer Science+Business Media New York

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Mordell, L.J. (1969). On Numbers which can be Expressed as a Sum of Powers. In: Turán, P. (eds) Number Theory and Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4819-5_14

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  • DOI: https://doi.org/10.1007/978-1-4615-4819-5_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7184-7

  • Online ISBN: 978-1-4615-4819-5

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