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Math @ Duke
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Publications [#243885] of Ezra Miller
Papers Published
- Zamaere, CB; Griffeth, S; Miller, E, Systems of parameters and holonomicity of A-hypergeometric systems,
Pacific Journal of Mathematics, vol. 276 no. 2
(January, 2015),
pp. 281-286, Mathematical Sciences Publishers, ISSN 0030-8730 [doi]
(last updated on 2026/01/15)
Abstract: We give an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, a result originally due to Adolphson (1994) after the regular singular case by Gelfand and Gelfand (1986). Our method yields a direct de novo proof that A-hypergeometric systems form holonomic families over their parameter spaces, as shown by Matusevich, Miller, and Walther (2005).
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