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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Note on sums of four and six squares
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by L. Carlitz PDF
Proc. Amer. Math. Soc. 8 (1957), 120-124 Request permission
References
  • W. N. Bailey, A further note on two of Ramanujan’s formulae, Quart. J. Math. Oxford Ser. (2) 3 (1952), 158–160. MR 49226, DOI 10.1093/qmath/3.1.158
  • L. Carlitz, Some partition formulas related to sums of squares, Nieuw Arch. Wisk. (3) 3 (1955), 129–133. MR 73621
  • J. M. Dobbie, A simple proof of some partition formulae of Ramanujan’s, Quart. J. Math. Oxford Ser. (2) 6 (1955), 193–196. MR 72896, DOI 10.1093/qmath/6.1.193
    • J. W. L. Glaisher, On the number of representations of a number as a sum of $2r$ squares, where $2r$ does not exceed eighteen, Proc. London Math. Soc. vol. 5 (1907) pp. 479-190.
  • G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. MR 0067125
    • H. J. S. Smith, Report on the theory of numbers, Collected Mathematical Papers, vol. 1, Oxford, 1894.
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Additional Information
  • © Copyright 1957 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 8 (1957), 120-124
  • MSC: Primary 10.1X
  • DOI: https://doi.org/10.1090/S0002-9939-1957-0084520-2
  • MathSciNet review: 0084520