On Some Diophantine Inequalities Involving the Exponential Function
- 1 January 1965
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 17, 616-626
- https://doi.org/10.4153/cjm-1965-061-8
Abstract
It is well known that for any real number θ there are infinitely many positive integersnsuch that Here ||a|| denotes the distance of a from the nearest integer, taken positively. Indeed, since ||a|| < 1, this implies more generally that ifθ1,θ2, . . . ,θkare any real numbers, then there are infinitely many positive integersnsuch thatKeywords
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