Rudolf Scharlau

Publications


  • Martin Kneser's Work on Quadratic Forms and Algebraic Groups   
    in: Ricardo Baeza et al. (eds.),  Quadratic Forms - Algebra, Arithmetic, and Geometry,
    Contemp. Math. 493, 339 - 358 (2009).

  • Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers   
    Math. of Comput. 78, No. 265, 397- 403 (2009)
  • A weak multiplicity-one theorem for Siegel modular forms.   
    Pac. J. Math. 211, No. 2, 369 - 374 (2003).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Scharlau, Rudolf; Walling, Lynne H.
    • ISSN 0030-8730
  • Quadratische Formen. Neu bearbeitet und herausgegeben in Zusammenarbeit mit Rudolf Scharlau.   
    Berlin: Springer. viii, 164 p. (2002).
    • Zentralblatt: HTML, PDF BibTeX
    • Author: Kneser, Martin
    • ISBN 3-540-64650-7/hbk
  • Theta series of modular, extremal, and Hermitian lattices.   
    Kim, Myung-Hwan (ed.) et al., Integral quadratic forms and lattices. Proceedings of the international conference on integral quadratic forms and lattices, Seoul National University, Seoul, Korea, June 15-19, 1998. Dedicated to the memory of Dennis Ray Estes. Providence, RI: American Mathematical Society. Contemp. Math. 249, 221-233 (1999).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Scharlau, Rudolf; Schiemann, Alexander; Schulze-Pillot, Rainer
    • ISBN 0-8218-1949-6/pbk

  • Extremal lattices.   
    Matzat, B. Heinrich (ed.) et al., Algorithmic algebra and number theory. Selected papers from a conference, Heidelberg, Germany, October 1997. Berlin: Springer. 139-170 (1999).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Scharlau, Rudolf; Schulze-Pillot, Rainer
    • ISBN 3-540-64670-1/hbk
  • Symplectic group lattices.   
    Trans. Am. Math. Soc. 351, No.5, 2101-2139 (1999).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Scharlau, Rudolf; Pham Huu Tiep
    • ISSN 0002-9947; ISSN 1088-6850
  • Classification of integral lattices with large class number.   
    Math. Comput. 67, No.222, 737-749 (1998).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Scharlau, Rudolf; Hemkemeier, Boris
    • ISSN 0025-5718; ISSN 1088-6842
  • Symplectic groups, symplectic spreads, codes, and unimodular lattices.   
    J. Algebra 194, No.1, 113-156 (1997).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Scharlau, Rudolf; Pham Huu Tiep
    • ISSN 0021-8693

  • Reflective integral lattices.   
    J. Algebra 181, No.3, 934-961 (1996).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Scharlau, Rudolf; Blaschke, Britta
    • ISSN 0021-8693
  • Computations of cyclotomic lattices.   
    Exp. Math. 4, No.3, 175-179 (1995).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Batut, Christian; Quebbemann, Heinz-Georg; Scharlau, Rudolf
    • ISSN 1058-6458
  • Buildings.   
    Buekenhout, Francis (ed.), Handbook of incidence geometry: buildings and foundations. Amsterdam: North-Holland. 477-645 (1995).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISBN 0-444-88355-X/hbk
  • The genus of the Barnes-Wall lattice.   
    Comment. Math. Helv. 69, No.2, 322-333 (1994).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Scharlau, Rudolf; Venkov, Boris B.
    • ISSN 0010-2571; ISSN 1420-8946
  • Unimodular lattices over real quadratic fields.   
    Math. Z. 216, No.3, 437-452 (1994).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0025-5874; ISSN 1432-1823
  • Integral lattices and hyperbolic reflection groups.   
    Coray, Daniel (ed.) et al., Journéees arithmétiques. Exposés présentés aux dix-septièemes congrèes èa Genèeve, Suisse, 9-13 septembre 1991. Paris: Société Mathématique de France, Astérisque. 209, 279-291 (1992).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Scharlau, Rudolf; Walhorn, Claudia
  • Geometrical realizations of shadow geometries.   
    Proc. Lond. Math. Soc., III. Ser. 61, No.3, 615-656 (1990).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0024-6115; ISSN 1460-244X
  • Gated sets in metric spaces.   
    Aequationes Math. 34, 112-120 (1987).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Dress, Andreas W.M.; Scharlau, Rudolf
    • ISSN 0001-9054; ISSN 1420-8903
  • A structure theorem for weak buildings of spherical type.   
    Geom. Dedicata 24, 77-84 (1987).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0046-5755; ISSN 1572-9168
  • The 37 combinatorial types of minimal, non-transitive, equivariant tilings of the Euclidean plane.   
    Discrete Math. 60, 121-138 (1986).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Dress, Andreas W.M.; Scharlau, Rudolf
    • ISSN 0012-365X
  • A characterization of Tits buildings by metrical properties.   
    J. Lond. Math. Soc., II. Ser. 32, 317-327 (1985).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0024-6107; ISSN 1469-7750
  • Metrical shellings of simplicial complexes.   
    Eur. J. Comb. 6, 265-269 (1985).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0195-6698
  • Zur Klassifikation äquivarianter Pflasterungen. (Classification of equivariant tesselations).   
    Coxeter Festschrift II, Mitt. Math. Semin. Gießen 164, 83-136 (1984).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Dress, Andreas W.M.; Scharlau, Rudolf
  • Indecomposable totally positive numbers in real quadratic orders.   
    J. Number Theory 14, 292-306 (1982).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Dress, Andreas; Scharlau, Rudolf
    • ISSN 0022-314X
  • An (almost trivial) local-global principle for the representation of -1 as a sum of squares in an arbitrary commutative ring.   
    Contemp. Math. 8, 99-106 (1982).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Broecker, Ludwig; Dress, Andreas; Scharlau, Rudolf
    • ISSN 0271-4132
  • Zur Klassifikation von Bilinearformen und von Isometrien über Körpern.  
    Math. Z. 178, 359-373 (1981).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0025-5874; ISSN 1432-1823
  • The fundamental unit in quadratic extensions of imaginary quadratic fields.   
    Arch. Math. 34, 534-537 (1980).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0003-889X; ISSN 1420-8938
  • On the Pythagoras number of orders in totally real number fields.   
    J. Reine Angew. Math. 316, 208-210 (1980).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0075-4102; ISSN 1435-5345
  • Darstellbarkeit von ganzen Zahlen durch Quadratsummen in einigen totalreellen Zahlkörpern.   
    Math. Ann. 249, 49-54 (1980).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0025-5831; ISSN 1432-1807
  • Zur Darstellbarkeit von totalreellen ganzen algebraischen Zahlen durch Summen von Quadraten. Dissertation.    
    Fakultät für Mathematik der Universität Bielefeld. 157 S. (1979).
  • A note on finitely generated torsion-free nilpotent groups of class 2.   
    J. Algebra 58, 162-175 (1979).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Grunewald, Fritz J.; Scharlau, Rudolf
    • ISSN 0021-8693
  • Quadratische Formen in additiven Kategorien.   
    Bull. Soc. Math. Fr., Suppl., Mém. 48 (Colloq. Formes quadratiques, Montpellier 1975), 93-101 (1976).
    • Zentralblatt: HTML, PDF, BibTeX
    • Authors: Quebbemann, Heinz-Georg; Scharlau, Rudolf; Scharlau, Winfried; Schulte, M.
    • ISSN 0037-9484
  • Paare alternierender Formen.   
    Math. Z. 147, 13-19 (1976).
    • Zentralblatt: HTML, PDF, BibTeX
    • Author: Scharlau, Rudolf
    • ISSN 0025-5874; ISSN 1432-1823