Computing Borel’s Regulator II, by Zacky Choo, Wajid Mannan, Rubén J. Sánchez-García, and Victor P. Snaith

In our earlier article we described a power series formula for the Borel regulator evaluated on the odd-dimensional homology of the general linear group of a number field and, concentrating on dimension three for simplicity, described a computer algorithm which calculates the value to any chosen degree of accuracy. In this sequel we give an algorithm for the construction of the input homology classes and describe the results of one cyclotomic field computation.

Zacky Choo <>
Wajid Mannan <>
Rubén J. Sánchez-García <>
Victor P. Snaith <>