The cyclotomic numbers of order sixteen
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- by Albert Leon Whiteman PDF
- Trans. Amer. Math. Soc. 86 (1957), 401-413 Request permission
References
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A. Aigner, Kriterion zum $8$. und $16$. Potenzcharacter der Reste $2$ und $- 2$, Deutsche Math. vol. 4 (1939) pp. 44-52.
- S. Chowla, A property of biquadratic residues, Proc. Nat. Acad. Sci. India Sect. A 14 (1944), 45–46. MR 14119 A. Cunningham, On $2$ as a $16$-ic residue, Proc. London Math. Soc. (1) vol. 27 (1895) pp. 85-122. —, Quadratic partitions, London, 1904.
- L. E. Dickson, Cyclotomy, Higher Congruences, and Waring’s Problem, Amer. J. Math. 57 (1935), no. 2, 391–424. MR 1507083, DOI 10.2307/2371217 H. Hasse, Vorlesungen über Zahlentheorie, Berlin-Göttingen-Heidelberg, 1950.
- Emma Lehmer, On residue difference sets, Canad. J. Math. 5 (1953), 425–432. MR 56007, DOI 10.4153/cjm-1953-047-3
- Emma Lehmer, On cyclotomic numbers of order sixteen, Canad. J. Math. 6 (1954), 449–454. MR 63398, DOI 10.4153/cjm-1954-046-1
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- A. L. Whiteman, The sixteenth power residue character of $2$, Canad. J. Math. 6 (1954), 364–373. MR 62761, DOI 10.4153/cjm-1954-035-8
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 86 (1957), 401-413
- MSC: Primary 10.0X
- DOI: https://doi.org/10.1090/S0002-9947-1957-0092807-7
- MathSciNet review: 0092807