On the Congruence ∑ aixik = 0(mod p)

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Authors

  • S. Chowla
     Boulder, Colorado ,US

DOI:

https://doi.org/10.18311/jims/1961/16895

Abstract

Let p denote a prime, ai≠O (modp) for 1 < i < S. From a wellknown theorem of Chevalley [1] it follows that the congruence in the title has a non-trivial solution (i.e. one in which not all xi s are multiples of p) if S > k + 1.

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Published

1961-03-01

How to Cite

Chowla, S. (1961). On the Congruence &#8721; a<sub>i</sub>x<sub>i</sub><sup>k</sup> = 0(mod p). The Journal of the Indian Mathematical Society, 25(1), 47–48. https://doi.org/10.18311/jims/1961/16895

Issue

Volume 25, Issue 1, March 1961

Section

Articles

License

Copyright (c) 1961 S. Chowla

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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