Orders of vanishing of zeros of characteristic $p$ zeta function

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dc.creatorBautista-Ancona, Victor
dc.creatorDiaz-Vargas, Javier
dc.creatorMaldonado-Bazan, Jose Luis
dc.date2006-08-30
dc.date.accessioned2026-07-07T07:22:20Z
dc.date.available2026-07-07T07:22:20Z
dc.descriptionOrders of vanishing of zeros of zeta functions have much arithmetic information encoded in them. For the absolute zeta function, Dinesh Thakur gave sufficient conditions for the order of vanishing of its zeros when the finite field has two elements. Such conditions consider only principal ideals. This result was generalized by Thakur and Diaz-Vargas. Now the conditions involve not only the principal ideals but all the classes of ideals, still in the field of two elements. In this work, we generalize these results to arbitrary finite fields, using similar proofs of Thakur and Diaz-Vargas.
dc.descriptionRocky Mountain Journal of Mathematics, to appear
dc.identifierhttps://arxiv.org/abs/math/0608755
dc.identifierhttp://arxiv.org/abs/math/0608755
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115623
dc.subjectNumber Theory
dc.subject11M38; 11M99
dc.titleOrders of vanishing of zeros of characteristic $p$ zeta function
dc.typetext

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