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On a problem of Chowla and Shimura. (English) Zbl 0213.05203


MSC:

11D79 Congruences in many variables
Full Text: DOI

References:

[1] Chowla, S., On a conjecture of Artin I, II, Norske Vid. Selsk. Forh. (Trondheim), 36, 135-141 (1963) · Zbl 0119.04404
[2] Chowla, S.; Shimura, G., On the representation of zero by a linear combination of \(k\)-th powers, Norske Vid. Selsk. Forh. (Trondheim), 36, 169-176 (1963) · Zbl 0119.04405
[3] Davenport, H.; Lewis, D. J., Homogeneous additive equations, (Proc. Roy. Soc. Ser. A, 274 (1963)), 443-460 · Zbl 0118.28002
[4] Dodson, M., Homogeneous additive congruences, Philos. Trans. Roy. Soc. London Ser. A, 261, 163-210 (1967) · Zbl 0139.27102
[5] Norton, K. K., On homogeneous diagonal congruences of odd degree, (Ph.D. thesis (1966), University of Illinois: University of Illinois Urbana, Ill) · Zbl 0185.10503
[6] Norton, K. K., Upper bounds for \(k\)-th power coset representatives modulo \(n\), Acta Arith., 15, 161-179 (1969) · Zbl 0177.06801
[7] Tietäväinen, A., On a homogeneous congruence of odd degree, Ann. Univ. Turku. Ser. A. I, 131, 3-6 (1969) · Zbl 0185.10801
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