Blomer, Valentin

[["dc.bibliographiccitation.firstpage","61"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Forum Mathematicum"],["dc.bibliographiccitation.lastpage","105"],["dc.bibliographiccitation.volume","19"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Michel, Philippe"],["dc.contributor.author","Mao, Z."],["dc.contributor.author","Harcos, Gergely"],["dc.date.accessioned","2018-11-07T11:06:35Z"],["dc.date.available","2018-11-07T11:06:35Z"],["dc.date.issued","2007"],["dc.description.abstract","Let g be a cuspidal newform (holomorphic or Maass) of arbitrary level and nebentypus, X a primitive character of conductor q, and s a point on the critical line Rs = 1/2. It is proved that L(g circle times chi, s) << epsilon,g,s q(1/2-(1/8)(1-20)+epsilon), where epsilon > 0 is arbitrary and theta = 7/64 is the current known approximation towards the RamannJan-Petersson conjecture (which would allow theta = 0); moreover, the dependence on s and all the parameters of g is polynomial. This result is an analog of Burgess' classical subconvex bound for Dirichlet L-functions. In Appendix 2 the above result is combined with a theorem of Waldspurger and the adelic calculations of Baruch-Mao to yield an improved uniform upper bound for the Fourier coefficients of holomorphic half-integral weight cusp forms."],["dc.identifier.doi","10.1515/forum.2007.003"],["dc.identifier.gro","3145989"],["dc.identifier.isi","000244935800003"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/52351"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Walter De Gruyter & Co"],["dc.relation.issn","0933-7741"],["dc.title","A burgess-like subconvex bound for twisted L-functions"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

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[["dc.bibliographiccitation.firstpage","357"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Israel Journal of Mathematics"],["dc.bibliographiccitation.lastpage","379"],["dc.bibliographiccitation.volume","229"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Harcos, Gergely"],["dc.contributor.author","Maga, Péter"],["dc.date.accessioned","2019-08-07T11:42:52Z"],["dc.date.available","2019-08-07T11:42:52Z"],["dc.date.issued","2019"],["dc.description.abstract","Let φ be a spherical Hecke–Maaß cusp form on the non-compact space PGL3(ℤ)PGL3(ℝ). We establish various pointwise upper bounds for φ in terms of its Laplace eigenvalue λφ. These imply, for φ arithmetically normalized and tempered at the archimedean place, the bound "],["dc.identifier.doi","10.1007/s11856-018-1805-y"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/62342"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.relation.issn","0021-2172"],["dc.relation.issn","1565-8511"],["dc.title","On the global sup-norm of GL(3) cusp forms"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

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[["dc.bibliographiccitation.firstpage","241"],["dc.bibliographiccitation.issue","694"],["dc.bibliographiccitation.journal","Journal für die reine und angewandte Mathematik (Crelles Journal)"],["dc.bibliographiccitation.lastpage","244"],["dc.bibliographiccitation.volume","2014"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Harcos, Gergely"],["dc.date.accessioned","2017-09-07T11:51:00Z"],["dc.date.available","2017-09-07T11:51:00Z"],["dc.date.issued","2014"],["dc.identifier.doi","10.1515/crelle-2012-0091"],["dc.identifier.gro","3145993"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3735"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0075-4102"],["dc.title","Addendum: Hybrid bounds for twisted L-functions"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","473"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Proceedings of the London Mathematical Society"],["dc.bibliographiccitation.lastpage","505"],["dc.bibliographiccitation.volume","105"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Harcos, Gergely"],["dc.date.accessioned","2017-09-07T11:51:03Z"],["dc.date.available","2017-09-07T11:51:03Z"],["dc.date.issued","2012"],["dc.identifier.doi","10.1112/plms/pdr069"],["dc.identifier.gro","3146008"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3749"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Oxford University Press (OUP)"],["dc.relation.issn","0024-6115"],["dc.title","A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","697"],["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","Annales Scientifiques de l’École Normale Supérieure"],["dc.bibliographiccitation.lastpage","740"],["dc.bibliographiccitation.volume","40"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Harcos, Gergely"],["dc.contributor.author","Michel, Philippe"],["dc.date.accessioned","2017-09-07T11:51:02Z"],["dc.date.available","2017-09-07T11:51:02Z"],["dc.date.issued","2008"],["dc.identifier.doi","10.1016/j.ansens.2007.05.003"],["dc.identifier.gro","3145990"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3731"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","0012-9593"],["dc.title","Bounds for modular L-functions in the level aspect"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]