The Extended Generating Function of the Radical of n and the abc-Conjecture

Abstract

An extended generating series of the radical of n, involving two variables, leads to an identity in said variables, which proves Bombieri's abc-Conjecture for certain sets of integers.

arXiv comment7 pages, file replaced by a new one in order to appear the page numbering

References in corpus (2)

• A strong "abc-conjecture" for certain partitions a+b of c
• The number of equations c=a+b satisfying the abc-conjecture