Non-vanishing of derivatives of L-functions of Hilbert modular forms in the critical strip

dc.contributor.author	Hamieh, Alia
dc.contributor.author	Raji, Wissam
dc.contributor.department	Department of Mathematics
dc.contributor.faculty	Faculty of Arts and Sciences (FAS)
dc.contributor.institution	American University of Beirut
dc.date.accessioned	2025-01-24T11:24:39Z
dc.date.available	2025-01-24T11:24:39Z
dc.date.issued	2021
dc.description.abstract	In this paper, we show that, on average, the derivatives of L-functions of cuspidal Hilbert modular forms with sufficiently large parallel weight k do not vanish on the line segments I(s) = t, R(s)∈(k-12,k2-ϵ)∪(k2+ϵ,k+12). This is analogous to the case of classical modular forms. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.
dc.identifier.doi	https://doi.org/10.1007/s40993-021-00248-y
dc.identifier.eid	2-s2.0-85102555232
dc.identifier.uri	http://hdl.handle.net/10938/26079
dc.language.iso	en
dc.publisher	Springer Science and Business Media Deutschland GmbH
dc.relation.ispartof	Research in Number Theory
dc.source	Scopus
dc.subject	Derivatives of l-functions
dc.subject	Hilbert modular forms
dc.subject	Non-vanishing of l-functions
dc.title	Non-vanishing of derivatives of L-functions of Hilbert modular forms in the critical strip
dc.type	Article

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