On the uniqueness of solutions of certain Diophantine equations
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- by Joseph B. Muskat and Yun Cheng Zee PDF
- Proc. Amer. Math. Soc. 49 (1975), 13-19 Request permission
Abstract:
An arithmetic proof by L. E. Dickson of the uniqueness of the integral solutions of a certain quaternary quadratic form is generalized to include several similar forms which have appeared recently in cyclotomy.References
- 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
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- Helmut Hasse, Der $2^{n}$-te Potenzcharakter von $2$ im Körper der $2^{n}$-ten Einheitswurzeln, Rend. Circ. Mat. Palermo (2) 7 (1958), 185–244 (German). MR 105401, DOI 10.1007/BF02854527
- Yun-cheng Zee, The Jacobi sums of orders thirteen and sixty and related quadratic decompositions, Math. Z. 115 (1970), 259–272. MR 262202, DOI 10.1007/BF01129976
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 49 (1975), 13-19
- DOI: https://doi.org/10.1090/S0002-9939-1975-0360461-9
- MathSciNet review: 0360461