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FAMILIES OF THETA FUNCTIONS INDEXED BY HERMITE POLYNOMIALS
Abstract
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.
Subject Area
Mathematics
Recommended Citation
KEATING, SALVATRICE FARINELLA, "FAMILIES OF THETA FUNCTIONS INDEXED BY HERMITE POLYNOMIALS" (1987). Doctoral Dissertations Available from Proquest. AAI8727066.
https://scholarworks.umass.edu/dissertations/AAI8727066