Bibliographic Details
| Title: |
Twisted traces of modular functions on hyperbolic 3-space. |
| Authors: |
Herrero, S.1,2 (AUTHOR) sebastian.herrero.m@gmail.com, Imamoḡlu, Ö.2 (AUTHOR) ozlem@math.ethz.ch, von Pippich, A.-M.3 (AUTHOR) anna.pippich@uni-konstanz.de, Schwagenscheidt, M.2 (AUTHOR) mschwagen@ethz.ch |
| Source: |
Journal of Number Theory. Feb2026, Vol. 279, p154-169. 16p. |
| Subjects: |
Modular functions, Eisenstein series, Harmonic functions, Hyperbolic spaces, Mathematical functions, Fourier analysis, Dirichlet series |
| Abstract: |
We compute analogues of twisted traces of CM values of harmonic modular functions on hyperbolic 3-space and show that they are essentially given by Fourier coefficients of the j -invariant. From this we deduce that the twisted traces of these harmonic modular functions are integers. Additionally, we compute the twisted traces of Eisenstein series on hyperbolic 3-space in terms of Dirichlet L -functions and divisor sums. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
