Abstract
We prove an asymptotic formula for the counting function of $y$-friable numbers in a certain range, using the saddle point method. Further, we also prove certain reasonable upper bounds for the counting function of $y$-friable numbers for various ranges of $y$ whose proofs are comparatively simpler than the earlier ones. Though these bounds need not be the best estimates, these are certainly useful in applications.
Information
Digital Object Identifier: 10.2969/aspm/08410367