Transformation of Products of υ-Functions


  • Madras Christian College, India


We shall adopt the following well-known notations for Ï…-functions:

q = eπiτ, Imτ > o ;

υ2 (x|τ) = Σ q(n+1/2)2(2n+2)xπi,

υ (x|τ) = Σ qn2 e2nxπi,

υ (x|τ) = Σ (-I)nqn2 e2nπi.

Here, as well as in the sequel, Σ denotes summation over all integers from -∞ to +∞.

Subject Discipline

Mathematical Sciences

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