@article{34888,
  abstract     = {{We call a positive square-free integer d special, if d is not divisible by primes congruent to 3 mod 4. We show that the period of the expansion of in continued fractions is asymptotically more often odd than even, when we restrict to special integers. We note that this period is always even for a non-special square-free integer d. It is well known that the above period is odd if and only if the negative Pell equation x²−dy²=−1 is solvable. The latter problem is solvable if and only if the narrow and the ordinary class groups of ℚ(√d) are equal. In a prior work we fully described the asymptotics of the 4-ranks of those class groups. Here we get the first non-trivial results about the asymptotic behavior of the 8-rank of the narrow class group. For example, we show that more than 76% of the quadratic fields ℚ(√d), where d is special, have the property that the 8-rank of the narrow class group is zero.}},
  author       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{0024-6115}},
  journal      = {{Proceedings of the London Mathematical Society}},
  keywords     = {{General Mathematics}},
  number       = {{2}},
  pages        = {{337--391}},
  publisher    = {{Wiley}},
  title        = {{{The parity of the period of the continued fraction of d}}},
  doi          = {{10.1112/plms/pdp057}},
  volume       = {{101}},
  year         = {{2010}},
}

@article{34887,
  abstract     = {{Let d be a nonsquare positive integer. We give the value of the natural probability that the narrow ideal class groups of the quadratic fields ℚ(√d) and ℚ(√−d) have the same 4-ranks. }},
  author       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{1937-0652}},
  journal      = {{Algebra & Number Theory}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{5}},
  pages        = {{493--508}},
  publisher    = {{Mathematical Sciences Publishers}},
  title        = {{{On the Spiegelungssatz for the 4-rank}}},
  doi          = {{10.2140/ant.2010.4.493}},
  volume       = {{4}},
  year         = {{2010}},
}

@article{42803,
  abstract     = {{We provide algorithms to count and enumerate representatives of the (right) ideal classes of an Eichler order in a quaternion algebra defined over a number field. We analyze the run time of these algorithms and consider several related problems, including the computation of two-sided ideal classes, isomorphism classes of orders, connecting ideals for orders, and ideal principalization. We conclude by giving the complete list of definite Eichler orders with class number at most 2.}},
  author       = {{Kirschmer, Markus and Voight, John}},
  issn         = {{0097-5397}},
  journal      = {{SIAM Journal on Computing}},
  keywords     = {{General Mathematics, General Computer Science}},
  number       = {{5}},
  pages        = {{1714--1747}},
  publisher    = {{Society for Industrial & Applied Mathematics (SIAM)}},
  title        = {{{Algorithmic Enumeration of Ideal Classes for Quaternion Orders}}},
  doi          = {{10.1137/080734467}},
  volume       = {{39}},
  year         = {{2010}},
}

@inproceedings{56922,
  author       = {{Maxara, Carmen and Biehler, Rolf}},
  booktitle    = {{Data and context in statistics education: Towards an evidence-based society. Proceedings of the Eighth International Conference on Teaching Statistics}},
  editor       = {{Reading, C.}},
  pages        = {{1–6}},
  publisher    = {{IASE}},
  title        = {{{Students’ understanding and reasoning about sample size and the law of large numbers after a computer-intensive introductory course on stochastics}}},
  year         = {{2010}},
}

@inproceedings{56920,
  author       = {{Wassong, Thomas and Biehler, Rolf}},
  booktitle    = {{Data and context in statistics education: Towards an evidence-based society. Proceedings of the Eighth International Conference on Teaching of Statistics}},
  editor       = {{Reading, C.}},
  pages        = {{41–46}},
  publisher    = {{IASE}},
  title        = {{{A model for teacher knowledge as a basis for online courses for professional development of statistics teachers}}},
  year         = {{2010}},
}

@inbook{56921,
  author       = {{Wassong, Thomas and Biehler, Rolf}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2010}},
  editor       = {{Lindmeier, A. and Ufer, St.}},
  pages        = {{915--918}},
  publisher    = {{WTM-Verlag}},
  title        = {{{Statistik online lernen - Ein Modell für Lehrerkompetenz als Basis einer Online-Lehrerfortbildung für Statistik in der Sekundarstufe I}}},
  year         = {{2010}},
}

@article{56968,
  author       = {{Biehler, Rolf and Peter-Koop, Andrea and Sträßer, Rudolf and Weigand, Hans-Georg}},
  issn         = {{0173-5322}},
  journal      = {{Journal für Mathematik-Didaktik}},
  number       = {{1}},
  pages        = {{1--3}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{JMD ab 2010 bei Springer}}},
  doi          = {{10.1007/s13138-010-0002-2}},
  volume       = {{31}},
  year         = {{2010}},
}

@article{56969,
  author       = {{Biehler, Rolf and Leiss, Dominik}},
  issn         = {{0173-5322}},
  journal      = {{Journal für Mathematik-Didaktik}},
  number       = {{1}},
  pages        = {{5--8}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Empirical Research on Mathematical Modelling}}},
  doi          = {{10.1007/s13138-010-0004-0}},
  volume       = {{31}},
  year         = {{2010}},
}

@inbook{56965,
  author       = {{Biehler, Rolf and Prömmel, Andreas}},
  booktitle    = {{Proceedings of ICoTS 8, Ljubljana, July 2010}},
  editor       = {{Reading, C.}},
  publisher    = {{IASE}},
  title        = {{{Developing students’ computer-supported simulation and modelling competencies by means of carefully designed working environments}}},
  year         = {{2010}},
}

@inbook{56967,
  author       = {{Biehler, Rolf and Eilerts, K. and Hänze, M. and Hochmuth, R.}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2010}},
  editor       = {{Lindmeier, A. and Ufer, St.}},
  pages        = {{269--272}},
  publisher    = {{WTM-Verlag}},
  title        = {{{Mathematiklehrerausbildung zum Studienbeginn: Eine empirische Studie zu Studienmotivation, Vor-wissen und Einstellungen zur Mathematik (BMBF-Projekt LIMA)}}},
  year         = {{2010}},
}

@inbook{56970,
  author       = {{Fischer, P.R. and Biehler, Rolf}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2010}},
  editor       = {{Lindmeier, A. and Ufer, St.}},
  pages        = {{297--300}},
  publisher    = {{WTM-Verlag}},
  title        = {{{Ein individualisierter eVorkurs für 400 Studierende und mehr. Ein Lösungsansatz für mathematische Brückenkurse mit hohen Teilnehmerzahlen}}},
  year         = {{2010}},
}

@inbook{56964,
  author       = {{Biehler, Rolf and Fischer, Pascal R and Hochmuth, Reinhard and Jeuring, Johan and Wassong, Thomas}},
  booktitle    = {{Proceedings of the S-ICT conference, Universiteit Utrecht, 1.-2. Nov. 2010}},
  title        = {{{How to support students learning in mathematical bridging-courses using an ITS? Remedial scenarios in the European project Math-Bridge}}},
  year         = {{2010}},
}

@inbook{56966,
  author       = {{Biehler, Rolf and Hochmuth, R. and Koepf, W.}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2010}},
  editor       = {{Lindmeier, A. and Ufer, St.}},
  publisher    = {{WTM-Verlag}},
  title        = {{{Mathematische Brückenkurse}}},
  year         = {{2010}},
}

@article{64746,
  author       = {{Dahmen, Rafael}},
  issn         = {{0025-5874}},
  journal      = {{Mathematische Zeitschrift}},
  keywords     = {{22E65, 46G20, 26E15, 26E20, 46T10, 46T25}},
  number       = {{1}},
  pages        = {{115–140}},
  title        = {{{Analytic mappings between LB-spaces and applications in infinite-dimensional Lie theory}}},
  doi          = {{10.1007/s00209-009-0557-0}},
  volume       = {{266}},
  year         = {{2010}},
}

@article{64680,
  author       = {{Glöckner, Helge and Willis, George A.}},
  issn         = {{0075-4102}},
  journal      = {{Journal für die reine und angewandte Mathematik}},
  keywords     = {{22D05, 22A05, 22D45}},
  pages        = {{141–169}},
  title        = {{{Classification of the simple factors appearing in composition series of totally disconnected contraction groups}}},
  doi          = {{10.1515/CRELLE.2010.047}},
  volume       = {{643}},
  year         = {{2010}},
}

@article{64679,
  author       = {{Glöckner, Helge and Gramlich, Ralf and Hartnick, Tobias}},
  issn         = {{0021-2172}},
  journal      = {{Israel Journal of Mathematics}},
  keywords     = {{22E65}},
  pages        = {{49–101}},
  title        = {{{Final group topologies, Kac-Moody groups and Pontryagin duality}}},
  doi          = {{10.1007/s11856-010-0038-5}},
  volume       = {{177}},
  year         = {{2010}},
}

@article{16499,
  author       = {{Biasco, Luca and Di Gregorio, Laura}},
  issn         = {{0003-9527}},
  journal      = {{Archive for Rational Mechanics and Analysis}},
  pages        = {{303--362}},
  title        = {{{A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation}}},
  doi          = {{10.1007/s00205-009-0240-y}},
  year         = {{2009}},
}

@inproceedings{16524,
  author       = {{Blesken, Matthias and Ruckert, Ulrich and Steenken, Dominik and Witting, Katrin and Dellnitz, Michael}},
  booktitle    = {{2009 NORCHIP}},
  isbn         = {{9781424443109}},
  title        = {{{Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques}}},
  doi          = {{10.1109/norchp.2009.5397800}},
  year         = {{2009}},
}

@article{16545,
  author       = {{Dellnitz, M. and Witting, K.}},
  issn         = {{1752-5055}},
  journal      = {{International Journal of Computing Science and Mathematics}},
  title        = {{{Computation of robust Pareto points}}},
  doi          = {{10.1504/ijcsm.2009.027876}},
  year         = {{2009}},
}

@article{16572,
  author       = {{Dellnitz, Michael and Froyland, Gary and Horenkamp, Christian and Padberg, Kathrin}},
  issn         = {{0936-7195}},
  journal      = {{GAMM-Mitteilungen}},
  pages        = {{47--60}},
  title        = {{{On the Approximation of Transport Phenomena - a Dynamical Systems Approach}}},
  doi          = {{10.1002/gamm.200910004}},
  year         = {{2009}},
}