𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A theorem of arithmetic and its proof

✍ Scribed by Euler L.


Book ID
127398766
Year
1849
Tongue
English
Weight
71 KB
Category
Library

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A quintessential proof of van der Waerde
✍ George Mills πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 362 KB

A particularly well suited induction hypothesis is employed to give a short and relatively direct formulation of van der Waerden's argument which establishes that for any partition of the natural numbers into two classes, one of the classes contains arbitrarily long arithmetic progressions.

An Addition Theorem and Its Arithmetical
✍ Gregory Freiman; Alfred Geroldinger πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 162 KB

We study almost arithmetical multiprogressions, which are defined as certain unions of arithmetical progressions. We prove an addition theorem stating that arbitrary sumsets of such sets are of the same type again. Almost arithmetical multiprogressions appear as sets of lengths in rings of algebraic