$${\mathrm {H}}$$ H -Harmonic Maaß-Jacobi forms of degree 1
نویسندگان
چکیده
منابع مشابه
Jacobi Forms of Degree One
We show that a certain subspace of space of elliptic cusp forms is isomorphic as a Hecke module to a certain subspace of space of Jacobi cusp forms of degree one with matrix index by constructing an explicit lifting. This is a partial generalization of the work of Skoruppa and Zagier. This lifting is also related with the Ikeda lifting.
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We investigate the numerical computation of Maaß cusp forms for the modular group corresponding to large eigenvalues. We present Fourier coefficients of two cusp forms whose eigenvalues exceed r = 40000. These eigenvalues are the largest that have so far been found in the case of the modular group. They are larger than the 130millionth eigenvalue.
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ژورنال
عنوان ژورنال: Research in the Mathematical Sciences
سال: 2015
ISSN: 2197-9847
DOI: 10.1186/s40687-015-0032-y