On the number of solutions of $u^k+D\equiv w^2(\mod p)$.
Emma Lehmer
Source: Pacific J. Math. Volume 5, Number 1
(1955), 103-118.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1103044613
Zentralblatt MATH identifier: 0064.27803
Mathematical Reviews number (MathSciNet): MR0067918
References
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[2] L.E. Dickson, Cyclotomy, higher congruences and Waring*s problem, Amer. J. Math. 57(1935), 391-424.
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[3] C.F. Gauss, Theoria residuorum biquadratic orum, Werke, 2 , 90.
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Mathematical Reviews (MathSciNet): MR15:10d
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[6] L. von Schrutka, Eine Beweis fur die Zerlegbarkeitder Primzahlen von der Form 6n+ 1 in ein einfaches undein dreifaches Quadrat, Jn. fur die reine undangew.Math. 140(1911), 252-265.
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Mathematical Reviews (MathSciNet): MR7:365d
Zentralblatt MATH: 0063.07965
[7a] H.S. Vandiver, On the number of solutions of certain nonhomogeneous trinomial equations in a finite field, Proc. Nat. Acad. Sci. U.S.A. 31 (1945), 170- 175.
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[8] A.L. Whiteman, Cyclotomy and Jacobsthal'ssums, Amer. J. Math., 64 (1952), 89-99, and Theorems analogous to Jacobsthal*s theorem, Duke Math. J. 16 (1949), 619-626. BERKELEY, CALIFORNIA
Mathematical Reviews (MathSciNet): MR13:626j
Zentralblatt MATH: 0046.26803
Pacific Journal of Mathematics
