On measure of sum sets II. The sum-theorem for the torus
- 1 January 1953
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 49 (1) , 40-43
- https://doi.org/10.1017/s0305004100028012
Abstract
This note is concerned with the r-dimensional torus Tr, whose points x are r-tuples (x1, x2, …, xr), where the xi are not numbers but residue-classes modulo 1. The addition of two elements of Tr follows the vector lawThis publication has 4 references indexed in Scilit:
- Measure TheoryPublished by Springer Nature ,1950
- A Proof of the Fundamental Theorem on the Density of Sums of Set of Positive IntegersAnnals of Mathematics, 1942
- A theorem on the addition of residue classes: Application to the numberΓ(k) in waring’s problemProceedings of the Indian Academy of Sciences - Section A, 1935
- On the Addition of Residue ClassesJournal of the London Mathematical Society, 1935