Fourier coefficients of Jacobi forms over Cayley numbers.
In this paper we shall compute explicitly the Fourier coefficients of the Eisenstein series Ek,m(z,w) = 1/2 ∑(c,d)=1 (cz + d)-k ∑t∈o exp {2πim((az + b/cz +d)N(t)) + σ(t,(w/cz +d) - (cN(w)/cz + d)} which is a Jacobi form of weight k and index m defined on H1 x CC, the product of the upper half-plane and Cayley numbers over the complex...