Blomer, Valentin

[["dc.bibliographiccitation.firstpage","507"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","Bulletin of the London Mathematical Society"],["dc.bibliographiccitation.lastpage","513"],["dc.bibliographiccitation.volume","37"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Brüdern, Jörg"],["dc.date.accessioned","2017-09-07T11:51:19Z"],["dc.date.available","2017-09-07T11:51:19Z"],["dc.date.issued","2005"],["dc.description.abstract","As an application of the vector sieve and uniform estimates on the Fourier coefficients of cusp forms of half‐integral weight, it is shown that any sufficiently large number n ≡ 3 (mod 24) with 5 ∤ n is expressible as a sum of three squares of integers having at most 521 prime factors."],["dc.identifier.doi","10.1112/S0024609305004480"],["dc.identifier.gro","3146074"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3817"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0024-6093"],["dc.title","A three squares theorem with almost primes"],["dc.type","journal_article"],["dc.type.internalPublication","no"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","608"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Geometric and Functional Analysis"],["dc.bibliographiccitation.lastpage","620"],["dc.bibliographiccitation.volume","22"],["dc.contributor.author","Blomer, Valentin"],["dc.date.accessioned","2017-09-07T11:51:04Z"],["dc.date.available","2017-09-07T11:51:04Z"],["dc.date.issued","2012"],["dc.identifier.doi","10.1007/s00039-012-0166-7"],["dc.identifier.gro","3146010"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/10500"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3751"],["dc.notes.intern","Merged from goescholar"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Springer Nature"],["dc.relation.issn","1016-443X"],["dc.relation.orgunit","Fakultät für Mathematik und Informatik"],["dc.rights","Goescholar"],["dc.rights.uri","https://goescholar.uni-goettingen.de/licenses"],["dc.title","Period Integrals and Rankin–Selberg L-functions on GL(n)"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","140"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Archiv der Mathematik"],["dc.bibliographiccitation.lastpage","146"],["dc.bibliographiccitation.volume","82"],["dc.contributor.author","Blomer, Valentin"],["dc.date.accessioned","2017-09-07T11:50:59Z"],["dc.date.available","2017-09-07T11:50:59Z"],["dc.date.issued","2004"],["dc.identifier.doi","10.1007/s00013-003-4806-x"],["dc.identifier.gro","3145980"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3721"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0003-889X"],["dc.title","On cusp forms associated with binary theta series"],["dc.type","journal_article"],["dc.type.internalPublication","no"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["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","561"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Annales scientifiques de l'École normale supérieure"],["dc.bibliographiccitation.lastpage","605"],["dc.bibliographiccitation.volume","48"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Milićević, Djordje"],["dc.date.accessioned","2017-09-07T11:51:08Z"],["dc.date.available","2017-09-07T11:51:08Z"],["dc.date.issued","2017"],["dc.identifier.doi","10.24033/asens.2252"],["dc.identifier.gro","3146025"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3766"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.relation.issn","0012-9593"],["dc.title","ehBadic analytic twists and strong subconvexity"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","453"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Geometric and Functional Analysis"],["dc.bibliographiccitation.lastpage","516"],["dc.bibliographiccitation.volume","25"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Milićević, Djordje"],["dc.date.accessioned","2017-09-07T11:51:06Z"],["dc.date.available","2017-09-07T11:51:06Z"],["dc.date.issued","2015"],["dc.description.abstract","We prove an asymptotic formula with a power saving error term for the (pure or mixed) second moment ∑∗χmodqL(1/2,f1⊗χ)L(1/2,f2⊗χ)¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ of central values of L-functions of any two (possibly equal) fixed cusp forms f 1, f 2 twisted by all primitive characters modulo q, valid for all sufficiently factorable q including 99.9 % of all admissible moduli. The two key ingredients are a careful spectral analysis of a potentially highly unbalanced shifted convolution problem in Hecke eigenvalues and a new large sieve type bound for Kloosterman sums where the summation lengths can be below the square-root threshold of the modulus. Applications are given to simultaneous non-vanishing and lower bounds on higher moments of twisted L-functions."],["dc.identifier.doi","10.1007/s00039-015-0318-7"],["dc.identifier.gro","3146022"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3763"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","1016-443X"],["dc.title","The Second Moment of Twisted Modular L-Functions"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","559"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Journal de Théorie des Nombres de Bordeaux"],["dc.bibliographiccitation.lastpage","578"],["dc.bibliographiccitation.volume","26"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Brumley, Farrell"],["dc.contributor.author","Kontorovich, Alex"],["dc.contributor.author","Templier, Nicolas"],["dc.date.accessioned","2017-09-07T11:51:06Z"],["dc.date.available","2017-09-07T11:51:06Z"],["dc.date.issued","2015"],["dc.identifier.doi","10.5802/jtnb.879"],["dc.identifier.gro","3146020"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3761"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Cellule MathDoc/CEDRAM"],["dc.relation.issn","1246-7405"],["dc.title","Bounding hyperbolic and spherical coefficients of Maass forms"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

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[["dc.bibliographiccitation.firstpage","349"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Functiones et Approximatio"],["dc.bibliographiccitation.lastpage","356"],["dc.bibliographiccitation.volume","49"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Schoebel, Anita"],["dc.date.accessioned","2017-09-07T11:51:05Z"],["dc.date.available","2017-09-07T11:51:05Z"],["dc.date.issued","2013"],["dc.identifier.doi","10.7169/facm/2013.49.2.12"],["dc.identifier.gro","3146016"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3758"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","0208-6573"],["dc.title","Twins of powerful numbers"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]