Geodesic
Theta type Jacobi forms
Martin Woitalla1
1 Lehrstuhl A für Mathematik RWTH Aachen University Templergraben 55 52056 Aachen, Germany
Acta Arithmetica, Tome 181 (2017) no. 4, pp. 333-354.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $L$ be a positive definite even lattice. We introduce theta type Jacobi forms and construct three towers of Jacobi forms with a particularly easy pullback structure. We use theta type Jacobi forms to explain the existence of a cusp form of weight 24 with respect to the irreducible root lattice $D_{4}$ which is based on additional symmetries of the Coxeter diagram.
DOI : 10.4064/aa161214-26-7
Keywords: positive definite even lattice introduce theta type jacobi forms construct three towers jacobi forms particularly easy pullback structure theta type jacobi forms explain existence cusp form weight respect irreducible root lattice which based additional symmetries coxeter diagram

Martin Woitalla 1

1 Lehrstuhl A für Mathematik RWTH Aachen University Templergraben 55 52056 Aachen, Germany 
@article{10_4064_aa161214_26_7,
     author = {Martin Woitalla},
     title = {Theta type {Jacobi} forms},
     journal = {Acta Arithmetica},
     pages = {333--354},
     publisher = {mathdoc},
     volume = {181},
     number = {4},
     year = {2017},
     doi = {10.4064/aa161214-26-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa161214-26-7/}
}
TY  - JOUR
AU  - Martin Woitalla
TI  - Theta type Jacobi forms
JO  - Acta Arithmetica
PY  - 2017
SP  - 333
EP  - 354
VL  - 181
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa161214-26-7/
DO  - 10.4064/aa161214-26-7
LA  - en
ID  - 10_4064_aa161214_26_7
ER  - 
%0 Journal Article
%A Martin Woitalla
%T Theta type Jacobi forms
%J Acta Arithmetica
%D 2017
%P 333-354
%V 181
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa161214-26-7/
%R 10.4064/aa161214-26-7
%G en
%F 10_4064_aa161214_26_7
Martin Woitalla. Theta type Jacobi forms. Acta Arithmetica, Tome 181 (2017) no. 4, pp. 333-354. doi : 10.4064/aa161214-26-7. http://geodesic.mathdoc.fr/articles/10.4064/aa161214-26-7/

Cité par Sources :