https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Log-sine evaluations of Mahler measures https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12988 Wed 11 Apr 2018 10:48:30 AEST ]]> On the Mahler measure of a family of genus 2 curves https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:27595 Wed 11 Apr 2018 10:35:28 AEST ]]> Arithmetic hypergeometric series https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11912 Wed 11 Apr 2018 10:12:12 AEST ]]> On the Mahler measure of hyperelliptic families https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:30649 3−y+x3−x+kxy whose zero loci define elliptic curves for k≠0,±3.]]> Wed 11 Apr 2018 09:57:19 AEST ]]> Densities of short random uniform walks https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11904 Sat 24 Mar 2018 08:08:57 AEDT ]]> On the Mahler measure of 1+X+1/X+Y +1/Y https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:20722 Sat 24 Mar 2018 08:00:20 AEDT ]]> On the Mahler measure of a family of genus 2 curves https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:24598 k(x, y)) and m(Pk(x, y)) of two polynomial families, where Qk(x, y) = 0 and Pk(x, y) = 0 are generically hyperelliptic and elliptic curves, respectively.]]> Sat 24 Mar 2018 07:11:48 AEDT ]]> Further explorations of Boyd's conjectures and a conductor 21 elliptic curve https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:24975 a,b,c(x,y)=a(x+1/x)+b(y+1/y)+c] and show that the wanted quantity m(P) is related to a 'half-Mahler' measure of P(x,y)=P √7,1,3(x,y). In the finale, we use the modular parametrization of the elliptic curve P(x,y)=0, again of conductor 21, due to Ramanujan and the Mellit-Brunault formula for the regulator of modular units.]]> Sat 24 Mar 2018 07:09:57 AEDT ]]> Binary constant-length substitutions and mahler measures of Borwein polynomials https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:47228 Fri 16 Dec 2022 11:54:28 AEDT ]]>