Hypergeometric Zeta Functions

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dc.creatorHassen, Abdul
dc.creatorNguyen, Hieu D.
dc.date2005-09-27
dc.date.accessioned2026-07-07T06:19:21Z
dc.date.available2026-07-07T06:19:21Z
dc.descriptionThis paper investigates a new family of special functions referred to as hypergeometric zeta functions. Derived from the integral representation of the classical Riemann zeta function, hypergeometric zeta functions exhibit many properties analogous to their classical counterpart, including the intimate connection to Bernoulli numbers. These new properties are treated in detail and are used to demonstrate a functional inequality satisfied by second-order hypergeometric zeta functions.
dc.description23 pages, 3 figures, 2 tables
dc.identifierhttps://arxiv.org/abs/math/0509637
dc.identifierhttp://arxiv.org/abs/math/0509637
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95045
dc.subjectNumber Theory
dc.titleHypergeometric Zeta Functions
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