Brüdern, Jörg

[["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","1"],["dc.bibliographiccitation.issue","674"],["dc.bibliographiccitation.journal","Journal für die Reine und Angewandte Mathematik. [Crelle's Journal]"],["dc.bibliographiccitation.lastpage","23"],["dc.bibliographiccitation.volume","647"],["dc.contributor.author","Brüdern, Jörg"],["dc.contributor.author","Wooley, Trevor D."],["dc.date.accessioned","2017-09-07T11:51:17Z"],["dc.date.available","2017-09-07T11:51:17Z"],["dc.date.issued","2010"],["dc.description.abstract","Write Rs (n) for the number of representations of a natural number as the sum of s positive integral cubes. We investigate the higher moments of Rs (n), establishing asymptotic formulae for when s = 5 and h = 3, when s = 6 and h < 28/5, and when s = 7 and h ≦ 12. Hitherto, such an asymptotic formula was available only when s ≧ 4 and h = 2."],["dc.identifier.doi","10.1515/CRELLE.2010.071"],["dc.identifier.gro","3146058"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3803"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0075-4102"],["dc.title","The asymptotic formulae in Waring's problem for cubes"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

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[["dc.bibliographiccitation.firstpage","419"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Glasgow Mathematical Journal"],["dc.bibliographiccitation.lastpage","434"],["dc.bibliographiccitation.volume","44"],["dc.contributor.author","Brüdern, J."],["dc.contributor.author","Kawada, K."],["dc.contributor.author","Wooley, T. D."],["dc.date.accessioned","2017-09-07T11:51:20Z"],["dc.date.available","2017-09-07T11:51:20Z"],["dc.date.issued","2002"],["dc.description.abstract","We discuss the representation of primes, almost-primes, and related arithmetic sequences as sums of kth powers of natural numbers. In particular, we show that on GRH, there are infinitely many primes represented as the sum of 2\\lceil 4k/3\\rceil positive integral kth powers, and we prove unconditionally that infinitely many P_2-numbers are the sum of 2k+1 positive integral kth powers. The sieve methods required to establish the latter conclusion demand that we investigate the distribution of sums of kth powers in arithmetic progressions, and our conclusions here may be of independent interest."],["dc.identifier.doi","10.1017/S0017089502030070"],["dc.identifier.gro","3146079"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3822"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0017-0895"],["dc.title","Additive representation in thin sequences, VI: representing primes, and related problems"],["dc.type","journal_article"],["dc.type.internalPublication","no"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","233"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Journal of the London Mathematical Society"],["dc.bibliographiccitation.lastpage","250"],["dc.bibliographiccitation.volume","s2-35,"],["dc.contributor.author","Brüdern, Jörg"],["dc.date.accessioned","2017-09-07T11:51:31Z"],["dc.date.available","2017-09-07T11:51:31Z"],["dc.date.issued","1987"],["dc.identifier.doi","10.1112/jlms/s2-35.2.233"],["dc.identifier.gro","3146144"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3894"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.relation.issn","0024-6107"],["dc.title","Sums of Squares and Higher Powers"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","199"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Journal of Number Theory"],["dc.bibliographiccitation.lastpage","210"],["dc.bibliographiccitation.volume","37"],["dc.contributor.author","Brüdern, Jörg"],["dc.date.accessioned","2017-09-07T11:51:29Z"],["dc.date.available","2017-09-07T11:51:29Z"],["dc.date.issued","1991"],["dc.identifier.doi","10.1016/S0022-314X(05)80037-X"],["dc.identifier.gro","3146132"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3881"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.relation.issn","0022-314X"],["dc.title","Additive Diophantine Inequalities with Mixed Powers, III"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","309"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Illinois Journal of Mathematics"],["dc.bibliographiccitation.lastpage","321"],["dc.bibliographiccitation.volume","45"],["dc.contributor.author","Brüdern, Jörg"],["dc.contributor.author","Kumchev, A."],["dc.date.accessioned","2017-09-07T11:51:22Z"],["dc.date.available","2017-09-07T11:51:22Z"],["dc.date.issued","2001"],["dc.identifier.gro","3146088"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3832"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","0019-2082"],["dc.title","Diophantine approximation by cubes of primes and an almost prime. II"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.lastpage","15"],["dc.bibliographiccitation.seriesnr","9"],["dc.contributor.author","Blomer, Valentin"],["dc.contributor.author","Brüdern, Jörg"],["dc.contributor.editor","Blomer, Valentin"],["dc.contributor.editor","Mihailescu, Preda"],["dc.date.accessioned","2017-09-07T11:51:15Z"],["dc.date.available","2017-09-07T11:51:15Z"],["dc.date.issued","2012"],["dc.identifier.gro","3146047"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3791"],["dc.language.iso","en"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Springer"],["dc.publisher.place","New York, NY"],["dc.relation.crisseries","Springer Proceedings in Mathematics"],["dc.relation.isbn","978-1-4614-1218-2"],["dc.relation.ispartof","Contributions in analytic and algebraic number theory"],["dc.relation.ispartofseries","Springer proceedings in mathematics; 9"],["dc.relation.issn","2190-5614"],["dc.title","The density of rational points on a certain threefold"],["dc.type","book_chapter"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","385"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","Monatshefte für Mathematik"],["dc.bibliographiccitation.lastpage","407"],["dc.bibliographiccitation.volume","162"],["dc.contributor.author","Brüdern, Jörg"],["dc.contributor.author","Kawada, Koichi"],["dc.date.accessioned","2017-09-07T11:51:16Z"],["dc.date.available","2017-09-07T11:51:16Z"],["dc.date.issued","2011"],["dc.identifier.doi","10.1007/s00605-009-0171-6"],["dc.identifier.gro","3146053"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3797"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","0026-9255"],["dc.title","The asymptotic formula in Waring's problem for one square and seventeen fifth powers"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","3112"],["dc.bibliographiccitation.issue","16"],["dc.bibliographiccitation.journal","International Mathematics Research Notices. IMRN"],["dc.bibliographiccitation.lastpage","3126"],["dc.contributor.author","Brüdern, Jörg"],["dc.contributor.author","Daemen, Dirk"],["dc.date.accessioned","2017-09-07T11:51:18Z"],["dc.date.available","2017-09-07T11:51:18Z"],["dc.date.issued","2009"],["dc.identifier.doi","10.1093/imrn/rnp044"],["dc.identifier.gro","3146064"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3807"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","1073-7928"],["dc.title","Imperfect mimesis of Weyl sums"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]