Mathematisches Institut

[["dc.bibliographiccitation.firstpage","521"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","ZDM"],["dc.bibliographiccitation.lastpage","533"],["dc.bibliographiccitation.volume","43"],["dc.contributor.author","Rolka, Katrin"],["dc.contributor.author","Halverscheid, Stefan"],["dc.date.accessioned","2018-08-29T08:21:52Z"],["dc.date.available","2018-08-29T08:21:52Z"],["dc.date.issued","2011"],["dc.description.abstract","As an alternative to questionnaires suitable for young students, pictures, texts and interviews are used as data sources for studying mathematical world views of fifth and sixth graders in a several-step design. The project was developed in three successive studies. In the first study, the approach of using pictures, texts and interviews for researching young students’ mathematical world views was investigated. Object of the second study was the development of an interrater-method for determining mathematical world views which delivered a satisfactory degree of reliability. The empirical results in the second study indicated as well that quite often mathematics courses were dominated by a view on mathematics emphasizing numbers or calculations. An analysis of students’ utterances suggests that some young students might have mixed world views. This motivates a modified rating approach in a third study in which raters can give weights to several world views. The procedure indicates that various mixed forms of the world views can be observed. This brings up the question as to whether this phenomenon is due to the methodology or whether it describes the formation of mathematical world views at that age. KeywordsMathematical beliefs–Mathematical world views–Lower secondary education–Pictures and texts–Inter-rater method."],["dc.identifier.doi","10.1007/s11858-011-0330-9"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/15603"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.title","Researching young students’ mathematical world views"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1321"],["dc.bibliographiccitation.issue","8"],["dc.bibliographiccitation.journal","International Journal of Algebra and Computation"],["dc.bibliographiccitation.lastpage","1344"],["dc.bibliographiccitation.volume","18"],["dc.contributor.author","Bartholdi, Laurent"],["dc.contributor.author","Eick, Bettina"],["dc.contributor.author","Hartung, Rene"],["dc.date.accessioned","2018-11-07T11:08:35Z"],["dc.date.available","2018-11-07T11:08:35Z"],["dc.date.issued","2008"],["dc.description.abstract","We describe a nilpotent quotient algorithm for a certain class of infinite presentations: the so-called finite L-presentations. We then exhibit finite L-presentations for various examples and report on the application of our nilpotent quotient algorithm to them. As a result, we obtain conjectural descriptions of the lower central series structure of various interesting groups including the Grigorchuk supergroup, the Brunner-Sidki-Vieira group, the Basilica group, certain generalizations of the Fabrykowski-Gupta group, and certain generalizations of the Gupta-Sidki group."],["dc.identifier.doi","10.1142/S0218196708004871"],["dc.identifier.gro","3145940"],["dc.identifier.isi","000262087600005"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/52816"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","World Scientific Publ Co Pte Ltd"],["dc.relation.issn","0218-1967"],["dc.title","A nilpotent quotient algorithm for certain infinitely presented groups and its applications"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Journal of Algebraic Combinatorics"],["dc.bibliographiccitation.lastpage","22"],["dc.bibliographiccitation.volume","40"],["dc.contributor.author","Bamberg, John"],["dc.contributor.author","Gill, Nick"],["dc.contributor.author","Hayes, Thomas P."],["dc.contributor.author","Helfgott, Harald Andrés"],["dc.contributor.author","Seress, Ákos"],["dc.contributor.author","Spiga, Pablo"],["dc.date.accessioned","2017-09-07T11:54:20Z"],["dc.date.available","2017-09-07T11:54:20Z"],["dc.date.issued","2013"],["dc.description.abstract","In this paper we are concerned with the conjecture that, for any set of generators S of the symmetric group Sym(n), the word length in terms of S of every permutation is bounded above by a polynomial of n. We prove this conjecture for sets of generators containing a permutation fixing at least 37 % of the points."],["dc.identifier.arxiv","1205.1596"],["dc.identifier.doi","10.1007/s10801-013-0476-3"],["dc.identifier.gro","3146554"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4334"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Springer Nature"],["dc.relation.eissn","1572-9192"],["dc.relation.issn","0925-9899"],["dc.subject","Cayley graph Diameter Babai’s conjecture Babai-Seress conjecture"],["dc.title","Bounds on the diameter of Cayley graphs of the symmetric group"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.issue","1, Special Issue: In honor of Robert D. MacPherson. Part 3"],["dc.bibliographiccitation.journal","Pure and Applied Mathematics Quarterly"],["dc.bibliographiccitation.lastpage","24"],["dc.bibliographiccitation.volume","3"],["dc.contributor.author","Baum, Paul"],["dc.contributor.author","Higson, Nigel"],["dc.contributor.author","Schick, Thomas"],["dc.date.accessioned","2017-09-07T11:47:09Z"],["dc.date.available","2017-09-07T11:47:09Z"],["dc.date.issued","2007"],["dc.identifier.doi","10.4310/PAMQ.2007.v3.n1.a1"],["dc.identifier.gro","3146669"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4459"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","1558-8599"],["dc.title","On the equivalence of geometric and analytic ehBhomology"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","507"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Israel Journal of Mathematics"],["dc.bibliographiccitation.lastpage","508"],["dc.bibliographiccitation.volume","193"],["dc.contributor.author","Bartholdi, Laurent"],["dc.date.accessioned","2017-09-07T11:50:40Z"],["dc.date.available","2017-09-07T11:50:40Z"],["dc.date.issued","2013"],["dc.identifier.doi","10.1007/s11856-012-0074-4"],["dc.identifier.gro","3145926"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3662"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.iserratumof","/handle/2/3688"],["dc.relation.issn","0021-2172"],["dc.relation.orgunit","Mathematisches Institut"],["dc.title","Branch rings, thinned rings, tree enveloping rings—Erratum [MR2254535]"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dc.type.subtype","original_ja"],["dspace.entity.type","Publication"]]

[["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"]]

[["dc.bibliographiccitation.firstpage","281"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Journal of Operator Theory"],["dc.bibliographiccitation.lastpage","288"],["dc.bibliographiccitation.volume","46"],["dc.contributor.author","Meyer, Ralf"],["dc.date.accessioned","2017-09-07T11:55:03Z"],["dc.date.available","2017-09-07T11:55:03Z"],["dc.date.issued","2001"],["dc.identifier.gro","3146625"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4410"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","0379-4024"],["dc.title","Adjoining a unit to an operator algebra"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","216"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Journal of Functional Analysis"],["dc.bibliographiccitation.lastpage","247"],["dc.bibliographiccitation.volume","263"],["dc.contributor.author","Dadarlat, Marius"],["dc.contributor.author","Meyer, Ralf"],["dc.date.accessioned","2017-09-07T11:54:57Z"],["dc.date.available","2017-09-07T11:54:57Z"],["dc.date.issued","2012"],["dc.identifier.doi","10.1016/j.jfa.2012.03.022"],["dc.identifier.gro","3146583"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4365"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","0022-1236"],["dc.title","E-theory for $\\\\.m C^ ehBalgebras over topological spaces"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","264"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Mathematika"],["dc.bibliographiccitation.lastpage","277"],["dc.bibliographiccitation.volume","42"],["dc.contributor.author","Baker, R. C."],["dc.contributor.author","Brüdern, J."],["dc.contributor.author","Wooley, T. D."],["dc.date.accessioned","2017-09-07T11:51:24Z"],["dc.date.available","2017-09-07T11:51:24Z"],["dc.date.issued","1995"],["dc.identifier.doi","10.1112/S0025579300014583"],["dc.identifier.gro","3146112"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/3859"],["dc.language.iso","en"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0025-5793"],["dc.title","Cubic Diophantine inequalities"],["dc.type","journal_article"],["dc.type.internalPublication","no"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]