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FAMILIES OF THETA FUNCTIONS INDEXED BY HERMITE POLYNOMIALS

SALVATRICE FARINELLA KEATING, University of Massachusetts Amherst

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

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