arXiv Analytics

Sign in

arXiv:2004.05924 [math.NT]AbstractReferencesReviewsResources

Fractal projections with an application in number theory

Han Yu

Published 2020-04-13Version 1

In this paper, we discuss a connection between geometric measure theory and number theory. Among other results, we show that a problem posed by Graham on prime factors of binomial coefficients can be answered by considering a problem on projected images of fractal sets. From this point of view, we revisit a result obtained by Erd\H{o}s, Graham, Ruzsa and Straus, also on prime factors of binomial coefficients.

Related articles: Most relevant | Search more
arXiv:1604.01152 [math.NT] (Published 2016-04-05)
The trace of modular forms and its application to number theory
arXiv:0906.2295 [math.NT] (Published 2009-06-12, updated 2009-06-13)
An identity involving the least common multiple of binomial coefficients and its application
arXiv:math/0112321 [math.NT] (Published 2001-12-05)
Abeliants and their application to an elementary construction of Jacobians