Transformation laws for generalized Dedekind sums associated to Fuchsian groups Article Swipe
Related Concepts
Mathematics
Dedekind sum
Dedekind eta function
Holomorphic function
Pure mathematics
Dedekind cut
Transformation (genetics)
Limit (mathematics)
Kronecker delta
Order (exchange)
Algebra over a field
Eisenstein series
Mathematical analysis
Modular form
Physics
Biochemistry
Quantum mechanics
Chemistry
Gene
Economics
Finance
Claire Burrin
,
Jay Jorgenson
,
Cormac O’Sullivan
,
Lejla Smajlović
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.4064/aa190425-31-1
· OA: W3036164053
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.4064/aa190425-31-1
· OA: W3036164053
We establish transformation laws for generalized Dedekind sums associated to the Kronecker limit function of non-holomorphic Eisenstein series and their higher-order variants. These results apply to general Fuchsian groups of the first kind, and examples are provided in the cases of the Hecke triangle groups, the Hecke congruence groups $\Gamma_0(N)$, and the non-congruence arithmetic groups $\Gamma_0(N)^+$.
Related Topics
Finding more related topics…