Hisashi Kojima

A Maass space in higher genus

We show that for arbitrary even genus 2 n with

On the Fourier coefficients of Maass wave forms of half integral weight over an imaginary quadratic field

n\equiv {0,1}

On the Fourier coefficients of Hilbert–Maass wave forms of half integral weight over arbitrary algebraic number fields

(mod 4) the subspace of Siegel cusp forms of weight

On Fourier coefficients of Maass wave forms of half integral weight belonging to Kohnen's spaces

k+n

On the Fourier coefficients of modular forms of half integral weight belonging to Kohnen's spaces and the critical values of zeta functions

generated by the Ikeda lifts of elliptic cusp forms of weight 2 k can be characterized by certain simple relations among the Fourier coefficients. These generalize the classical Maass relations in genus 2.