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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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On the representations of a number as the sum of three squares
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by Paul T. Bateman PDF
Trans. Amer. Math. Soc. 71 (1951), 70-101 Request permission
References
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  • Edmund Landau Über die Einteilung der positiven ganzen Zahlen in vier Klassen nach der Mindestzahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate, Archiv der Mathematik und Physik (3) vol. 13 (1908) pp. 305-312. —Handbuch der Lehre von der Verteilung der Primzahlen, Leipzig, 1909. —Abschätzungen von Charaktersummen, Einheiten und Klassenzahlen, Nachr. Ges. Wiss. Göttingen (1918) pp. 79-97. —Vorlesungen über Zahlentheorie, vol. 1, Leipzig, 1927. Georg Landsberg Zur Theorie der Gausschen Summen und des linearen Transformationen der Thetafunktionen, J. Reine Angew. Math. vol. 111 (1893) pp. 234-253. R. Lipschitz Untersuchung einer aus vier Elementen gebildeten Reihe, J. Reine Angew. Math. vol. 54 (1857) pp. 313-328. L. J. Mordell On the representation of numbers as a sum of $2r$ squares, Quarterly Journal of Pure and Applied Mathematics vol. 48 (1917) pp. 93-104. —On the representations of a number as a sum of an odd number of squares, Transactions of the Cambridge Philosophical Society vol. 22 (1919) pp. 361-372. —Poisson’s summation formula and the Riemann zeta function, J. London Math. Soc. vol. 4 (1929) pp. 285-291. G. Pólya Über die Verteilung der quadratischen Reste und Nichtreste, Nachr. Ges. Wiss. Göttingen (1918) pp. 21-29. S. Ramanujan On certain trigonometrical sums and their applications in the theory of numbers, Transactions of the Cambridge Philosophical Society vol. 22 (1918) pp. 259-276. J. Schur Einige Bemerkungen zu der vorstehenden Arbeit des Herrn G. Pólya, Nachr. Ges. Wiss. Göttingen (1918) pp. 30-36.
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Additional Information
  • © Copyright 1951 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 71 (1951), 70-101
  • MSC: Primary 10.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1951-0042438-4
  • MathSciNet review: 0042438