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 general...

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Bibliographic Details
Main Author: KEATING, SALVATRICE FARINELLA
Language:ENG
Published: ScholarWorks@UMass Amherst 1987
Subjects:
Online Access:https://scholarworks.umass.edu/dissertations/AAI8727066