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Homogeneous additive congruences

Published:1967-01-26 Issue:1119 Volume:261 Page:163-210
ISSN:0080-4614
Container-title:Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. Lond. A

Author:

Abstract

An investigation of conditions under which the congruence a 1 x k 1 + ... + a a s X k s =0 (mod p n ), where a 1 , ..., a 5 are any non - zero integers and p n is any prime power, has a primitive solution.

Publisher

The Royal Society

Subject

General Engineering

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.1967.0002

Reference7 articles.

1. O n the num ber of solutions of some congruences in two variables. Proc. Indian N a t;Chowla I.;Acad. Sci. A,1937

2. O n W aring's problem (mod p).Proc. N a t;Chowla I.;Acad. Sci. India A,1943

3. Chowla S. 1963 Proceedings o f the 1963 Num ber Theory Conference. University of Colorado Boulder Colorado.

4. Some applications of the Cauchy-D avenport Theorem . K . norske vidensk;Chowla S.;Selsk. Fork. 32, N r,1959

5. O n the representation of zero by a linear com bination of Ath powers. K.norske vidensk;Chowla S.;Selsk. Forh. 36, N r,1963

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