Some examples of Mahler measures as multiple polylogarithms
Matilde N. Lalin
Abstract
The Mahler measures of certain polynomials of up to five variables are given in terms of multiple polylogarithms. Each formula is homogeneous and its weight coincides with the number of variables of the corresponding polynomial.
Create a lesson
Related papers
Unit fraction representations using shifted Golomb primes
Rishika Agrawal
Improved deterministic integer factorization by quadratic-image sieving
Pantelimon Stănică
Private key sieves for improved attacks on RSA
Markus Hittmeir
Multiple q-zeta values as polynomials in partition multiplicities
Jan-Willem M. van Ittersum
Hopf-Galois Structures on Extensions Arising from Division Points on Elliptic Curves
Leolin Nkuete
Certified Collision Exclusion and an Unconditional Upper Bound Λ<0.156821 for the de Bruijn--Newman Constant
Michel Planat, Dale James Raymond