location:  Publications → journals
Search results

Search: MSC category 11G15 ( Complex multiplication and moduli of abelian varieties [See also 14K22] )

 Expand all        Collapse all Results 1 - 2 of 2

1. CMB 2016 (vol 59 pp. 624)

Otsubo, Noriyuki
 Homology of the Fermat Tower and Universal Measures for Jacobi Sums We give a precise description of the homology group of the Fermat curve as a cyclic module over a group ring. As an application, we prove the freeness of the profinite homology of the Fermat tower. This allows us to define measures, an equivalent of Anderson's adelic beta functions, in a similar manner to Ihara's definition of $\ell$-adic universal power series for Jacobi sums. We give a simple proof of the interpolation property using a motivic decomposition of the Fermat curve. Keywords:Fermat curves, Ihara-Anderson theory, Jacobi sumsCategories:11S80, 11G15, 11R18

2. CMB 2006 (vol 49 pp. 21)

Chapman, Robin; Hart, William
 Evaluation of the Dedekind Eta Function We extend the methods of Van der Poorten and Chapman for explicitly evaluating the Dede\-kind eta function at quadratic irrationalities. Via evaluation of Hecke $L$-series we obtain new evaluations at points in imaginary quadratic number fields with class numbers 3 and 4. Further, we overcome the limitations of the earlier methods and via modular equations provide explicit evaluations where the class number is 5 or 7. Category:11G15
 top of page | contact us | privacy | site map |