On the slim exceptional set for the Lagrange four squares theorem
β Scribed by Yingchun Cai; Minggao Lu
- Publisher
- Akadmiai Kiad
- Year
- 2011
- Tongue
- English
- Weight
- 599 KB
- Volume
- 134
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A passage in Euler's notebook 132 (written between 1740 and 1744) concerning the foursquares theorem is interpreted in a new way. The proof of the four-squares theorem is based on three lemmas. Euler proved two of them from which he deduced the theorem on the representation as a sum of four squares
## Abstract Some conditions on the size of the exceptional set that arise in Nevanlinna's Second Fundamental Theorem are established, showing that previous sharp results can be improved by restricting the class of functions considered and suggesting a close relationship between the size of the exce