https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Extension of some theorems of W. Schwarz https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:31692 k(z) := Σ∞n=0 zkn (1 − zkn)−1 is transcendental for all algebraic numbers z with |z| < 1. We give a similar result for Fk(z) := Σ∞n=0 zkn)(1 + zkn)−1. These results were known to Mahler, though our proofs of the function transcendence are new and elementary; no linear algebra or differential calculus is used.]]> Wed 11 Apr 2018 15:07:27 AEST ]]> Becker’s conjecture on Mahler functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:56199 Tue 13 Aug 2024 14:49:37 AEST ]]> Addition theorems and binary expansions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13127 Sat 24 Mar 2018 08:15:42 AEDT ]]>