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FAMILIES OF THETA FUNCTIONS INDEXED BY HERMITE POLYNOMIALS
This dissertation deals with a generalization of Jacobi's inversion formula and has as a focal point the construction of an infinite family of functions which satisfy Riemann's functional equation yet are not equal to the Riemann zeta function. In the process some known results are generalized and some identities are derived. ^
KEATING, SALVATRICE FARINELLA, "FAMILIES OF THETA FUNCTIONS INDEXED BY HERMITE POLYNOMIALS" (1987). Doctoral Dissertations Available from Proquest. AAI8727066.