The exceptional set in Roth's theorem concerning a cube and three cubes ofprimes

Authors
Ren, XM
Citation
Xm. Ren, The exceptional set in Roth's theorem concerning a cube and three cubes ofprimes, Q J MATH, 52, 2001, pp. 107-126
Citations number
19
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
52
Year of publication
2001
Part
1
Pages
107 - 126
Database
ISI
SICI code
0033-5606(200103)52:<107:TESIRT>2.0.ZU;2-C
Abstract
It is proved that, with at most O (N-169/170) exceptions, all. positive int egers up to N are the sum of a cube and three cubes of primes. This improve s a classical result of Roth.