https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11924 q(z) = [formula could not be replicated], |z| ≤ 1, |q| < 1. The results generalize a known formula for powers of the series for the ordinary logarithm -log(1-z) = L(z;0).]]> Wed 11 Apr 2018 16:00:23 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13725 2, b not a proper power, a b-ary Machin-type BBP arctangent formula for κ is a formula of the form κ = ∑_m a_m arctan(−b^−m), a_m ∈ ℚ, while when b = 2 , we also allow terms of the form a_m arctan(1/(1 − 2^m)). Of particular interest, we show that π has no Machin-type BBP arctangent formula when b ≠ 2 . To the best of our knowledge, when there is no Machin-type BBP formula for a constant then no BBP formula of any form is known for that constant.]]> Sat 24 Mar 2018 08:22:57 AEDT ]]>