Note on a theorem of Pall

Williams, Kenneth S.

doi:10.1090/S0002-9939-1971-0277496-3

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)

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Note on a theorem of Pall
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by Kenneth S. Williams PDF

Proc. Amer. Math. Soc. 28 (1971), 315-316 Request permission

Abstract:

A simple proof is given of Pall’s formula for the number of representations of a gaussian integer as the sum of two squares of gaussian integers.

References

William J. Leahey, A note on a theorem of I. Niven, Proc. Amer. Math. Soc. 16 (1965), 1130–1131. MR 181632, DOI 10.1090/S0002-9939-1965-0181632-4
Gordon Pall, Sums of two squares in a quadratic field, Duke Math. J. 18 (1951), 399–409. MR 40337
Kenneth S. Williams, On a theorem of Niven, Canad. Math. Bull. 10 (1967), 573–578. MR 224539, DOI 10.4153/CMB-1967-055-3