Classical periods of Eisenstein series and Bernoulli polynomials in the equivariant cohomology of a torus
Abstract
Abstract We find group cochains valued in currents giving explicit representatives for the $$\textrm{GL}_2$$ GL 2 -equivariant polylogarithm class of a torus. Based on the construction of weight-2 Eisenstein series for $$\textrm{GL}_2$$ GL 2 from this polylogarithm class, we give a geometrically-flavored derivation of the classical formulas for the associated Dedekind-Rademacher homomorphisms, i.e. the periods of $$E^2_{\alpha ,\beta }$$ E α , β 2 for various nonzero torsion sections $$(\alpha ,\beta )$$ ( α , β ) .
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Research in Number Theory
- Publisher
- Springer Science and Business Media LLC
- Volume
- 12
- Issue
- 3
- Publication date
- 17 July 2026
- Language
- EN