VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT

dc.contributor.authorLichtenbaum, Stephen
dc.contributor.authorRamachandran, Niranjan
dc.date.accessioned2026-07-01T21:11:39Z
dc.date.issued2022
dc.description.abstractAbstract We show that the conjecture of [27] for the special value at $s=1$ of the zeta function of an arithmetic surface is equivalent to the Birch�Swinnerton�Dyer conjecture for the Jacobian of the generic fibre.
dc.description.urihttps://doi.org/10.1017/s1474748022000093
dc.identifierhttps://doi.org/10.13016/7e4q-utse
dc.identifier.citationLichtenbaum, S., & Ramachandran, N. (2023). VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT $s=1$.�Journal of the Institute of Mathematics of Jussieu,�22(5), 2455�2496. doi:10.1017/S1474748022000093
dc.identifier.urihttp://hdl.handle.net/1903/35749
dc.language.isoen
dc.publisherJournal of the Institute of Mathematics of Jussieu
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectzeta functions
dc.subjectelliptic curves
dc.titleVALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT
dc.typearticle
local.equitableAccessSubmissionYes

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