Abstract
We investigate in various ways the representation of a large natural number N as a sum of s positive k-th powers of numbers from a fixed Beatty sequence. Inter alia, a very general form of the local to global principle is established in additive number theory. Although the proof is very short, it depends on a deep theorem of M. Kneser.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-16 |
| Number of pages | 16 |
| Journal | Journal de Theorie des Nombres de Bordeaux |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2014 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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