Publications of Martin Woitalla
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Modular forms for the A1-tower, submitted for publication. Preprint is available at arXiv
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(joint with C. Dieckmann and A. Krieg) The graded ring of modular forms on the Cayley half-space of degree two, appeared in M. Ramanujan J (2018), https://doi.org/10.1007/s11139-017-9970-x.
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Theta type Jacobi forms, appeared in Acta Arithmetica 181 (2017), 333-354.
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A framework for some distinguished series of orthogonal type modular forms, thesis, 2016.
Online version available under
https://publications.rwth-aachen.de/record/659764/files/659764.pdf
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Calculating the Fourier Coefficients of Jacobi-Eisenstein series, preprint available at arXiv
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Calculating local densities, preprint available here.
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Hermitian Modular Forms of Degree 2 over the Eisenstein Integers,
appeared in Automorphic Forms, Springer Proceedings in Math. and Stat,
Research in Number Theory from Oman
For some reviewed articles preprints are available at arXiv.
Computations
Restrictions of Octonionic Eisenstein series to the Siegel and Hermitian half-plane
In the following you find the restrictions to Siegel's half-plane. Each line contains a pair consisting of the index which is always of type (n,t,m) where n,m are integral and t is half-integral and a tupel of numbers which represent the Fourier coefficients of the corresponding Eisenstein poducts. In the file you find further explanations about the factors being involved .
- Weight 4
- Weight 10
- Weight 12
- Weight 16
- Weight 18
- Weight 22
- Weight 24
- Weight 28
- Weight 30
- Weight 36
- Weight 42
In the following you find the restrictions to the Hermitian half-plane for weight 36 and 42. Each line contains a pair consisting of the index which is always of type (n,t1,t2,m) where n,m are integral and t1,t2 are half-integral and a tupel of numbers which represent the Fourier coefficients of the corresponding Eisenstein poducts.
