Authors
Citation
Sv. Konyagin, Estimates of the least prime factor of a binomial coefficient, MATHEMATIKA, 46(91), 1999, pp. 41-55
Citations number
10
Categorie Soggetti
Mathematics
Journal title
MATHEMATIKA
ISSN journal
00255793
→ ACNP
Volume
46
Issue
91
Year of publication
1999
Part
1
Pages
41 - 55
Database
ISI
SICI code
0025-5793(199906)46:91<41:EOTLPF>2.0.ZU;2-S
Abstract
Let k be a positive integer and g(k) be the least integer n > k + 1 such th
at all prime factors of((n)(k)) are >k. We prove that
g(k) greater than or equal to exp (c log(2) k),
where c is an absolute positive constant. We also establish a new theorem o
n the distribution of fractional parts of a smooth function.