Edit Profile (opens in new tab) Scharlau, Rudolf Co-Author Distance Author ID: scharlau.rudolf Published as: Scharlau, Rudolf Documents Indexed: 36 Publications since 1976, including 1 Book 2 Further Contributions Co-Authors: 21 Co-Authors with 21 Joint Publications 552 Co-Co-Authors all top 5 Co-Authors 15 single-authored 5 Dress, Andreas W. M. 2 Baake, Michael 2 Kneser, Martin 2 Quebbemann, Heinz-Georg 2 Schulze-Pillot, Rainer 2 Tiep Pham Huu 2 Zeiner, Peter 1 Abdukhalikov, Kanat S. 1 Batut, Christian 1 Blaschke, Britta 1 Blum, Werner 1 Bröcker, Ludwig 1 Grunewald, Fritz J. 1 Hemkemeier, Boris 1 Parimala, Raman 1 Rehmann, Ulf 1 Reiss, Kristina 1 Scharlau, Winfried 1 Schiemann, Alexander 1 Stroth, Gernot 1 Törner, Günter 1 Tschinkel, Yuri 1 Venkov, Boris B. 1 Walhorn, Claudia 1 Walling, Lynne Heather 1 Ziegler, Günter Matthias all top 5 Serials 3 Journal of Algebra 3 Mathematische Zeitschrift 2 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematics of Computation 1 Discrete Mathematics 1 Acta Arithmetica 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Aequationes Mathematicae 1 Experimental Mathematics 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Contemporary Mathematicians all top 5 Fields 25 Number theory (11-XX) 10 Group theory and generalizations (20-XX) 7 Geometry (51-XX) 5 Convex and discrete geometry (52-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 323 times in 275 Documents Cited by ▼ Year ▼ Gated sets in metric spaces. Zbl 0696.54022 Dress, Andreas W. M.; Scharlau, Rudolf 62 1987 Quadratic forms. (Quadratische Formen. Neu bearbeitet und herausgegeben in Zusammenarbeit mit Rudolf Scharlau.) Zbl 1001.11014 Kneser, Martin 36 2002 A note on finitely generated torsion-free nilpotent groups of class 2. Zbl 0406.20031 Grunewald, Fritz J.; Scharlau, Rudolf 25 1979 Paare alternierender Formen. Zbl 0304.15008 Scharlau, Rudolf 23 1976 Classification of integral lattices with large class number. Zbl 0919.11031 Scharlau, Rudolf; Hemkemeier, Boris 20 1998 Extremal lattices. Zbl 0944.11012 Scharlau, Rudolf; Schulze-Pillot, Rainer 18 1999 Buildings. Zbl 0841.51005 Scharlau, Rudolf 13 1995 Indecomposable totally positive numbers in real quadratic orders. Zbl 0507.12002 Dress, Andreas; Scharlau, Rudolf 13 1982 Zur Klassifikation von Bilinearformen und von Isometrien über Körpern. Zbl 0473.10019 Scharlau, Rudolf 13 1981 Integral lattices and hyperbolic reflection groups. Zbl 0815.20039 Scharlau, Rudolf; Walhorn, Claudia 12 1992 On the Pythagoras number of orders in totally real number fields. Zbl 0421.12017 Scharlau, Rudolf 12 1980 The genus of the Barnes-Wall lattice. Zbl 0815.11034 Scharlau, Rudolf; Venkov, Boris B. 10 1994 A structure theorem for weak buildings of spherical type. Zbl 0644.51009 Scharlau, Rudolf 10 1987 Quadratische Formen in additiven Kategorien. Zbl 0352.18018 Quebbemann, Heinz-Georg; Scharlau, Rudolf; Scharlau, Winfried; Schulte, M. 10 1976 Computations of cyclotomic lattices. Zbl 0873.11026 Batut, Christian; Quebbemann, Heinz-Georg; Scharlau, Rudolf 7 1995 A characterization of Tits buildings by metrical properties. Zbl 0584.51002 Scharlau, Rudolf 7 1985 Unimodular lattices over real quadratic fields. Zbl 0807.11021 Scharlau, Rudolf 6 1994 Symplectic groups, symplectic spreads, codes, and unimodular lattices. Zbl 0887.20004 Scharlau, Rudolf; Pham Huu Tiep 6 1997 Zur Darstellbarkeit von totalreellen ganzen algebraischen Zahlen durch Summen von Quadraten. Zbl 0412.10011 Scharlau, Rudolf 6 1979 Reflective integral lattices. Zbl 0853.11053 Scharlau, Rudolf; Blaschke, Britta 6 1996 Similar sublattices of planar lattices. Zbl 1315.11055 Baake, Michael; Scharlau, Rudolf; Zeiner, Peter 5 2011 A weak multiplicity-one theorem for Siegel modular forms. Zbl 1050.11052 Scharlau, Rudolf; Walling, Lynne H. 5 2003 Theta series of modular, extremal, and Hermitian lattices. Zbl 0983.11018 Scharlau, Rudolf; Schiemann, Alexander; Schulze-Pillot, Rainer 4 1999 Zur Klassifikation äquivarianter Pflasterungen. (Classification of equivariant tesselations). Zbl 0577.52008 Dress, Andreas W. M.; Scharlau, Rudolf 4 1984 The 37 combinatorial types of minimal, non-transitive, equivariant tilings of the Euclidean plane. Zbl 0628.05021 Dress, Andreas W. M.; Scharlau, Rudolf 4 1986 Geometrical realizations of shadow geometries. Zbl 0721.51007 Scharlau, Rudolf 4 1990 Martin Kneser’s work on quadratic forms and algebraic groups. Zbl 1223.11045 Scharlau, Rudolf 4 2009 Symplectic group lattices. Zbl 0941.20003 Scharlau, Rudolf; Pham Huu Tiep 3 1999 Well-rounded sublattices of planar lattices. Zbl 1320.11061 Baake, Michael; Scharlau, Rudolf; Zeiner, Peter 3 2014 Darstellbarkeit von ganzen Zahlen durch Quadratsummen in einigen totalreellen Zahlkörpern. Zbl 0414.12007 Scharlau, Rudolf 2 1980 Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers. Zbl 1208.11081 Abdukhalikov, Kanat; Scharlau, Rudolf 2 2009 The fundamental unit in quadratic extensions of imaginary quadratic fields. Zbl 0432.12002 Scharlau, Rudolf 1 1980 Metrical shellings of simplicial complexes. Zbl 0579.51012 Scharlau, Rudolf 1 1985 An (almost trivial) local-global principle for the representation of -1 as a sum of squares in an arbitrary commutative ring. Zbl 0506.13014 Broecker, Ludwig; Dress, Andreas; Scharlau, Rudolf 1 1982 The extremal lattice of dimension 14, level 7 and its genus. Zbl 1298.11030 Scharlau, Rudolf 1 2013 Well-rounded sublattices of planar lattices. Zbl 1320.11061 Baake, Michael; Scharlau, Rudolf; Zeiner, Peter 3 2014 The extremal lattice of dimension 14, level 7 and its genus. Zbl 1298.11030 Scharlau, Rudolf 1 2013 Similar sublattices of planar lattices. Zbl 1315.11055 Baake, Michael; Scharlau, Rudolf; Zeiner, Peter 5 2011 Martin Kneser’s work on quadratic forms and algebraic groups. Zbl 1223.11045 Scharlau, Rudolf 4 2009 Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers. Zbl 1208.11081 Abdukhalikov, Kanat; Scharlau, Rudolf 2 2009 A weak multiplicity-one theorem for Siegel modular forms. Zbl 1050.11052 Scharlau, Rudolf; Walling, Lynne H. 5 2003 Quadratic forms. (Quadratische Formen. Neu bearbeitet und herausgegeben in Zusammenarbeit mit Rudolf Scharlau.) Zbl 1001.11014 Kneser, Martin 36 2002 Extremal lattices. Zbl 0944.11012 Scharlau, Rudolf; Schulze-Pillot, Rainer 18 1999 Theta series of modular, extremal, and Hermitian lattices. Zbl 0983.11018 Scharlau, Rudolf; Schiemann, Alexander; Schulze-Pillot, Rainer 4 1999 Symplectic group lattices. Zbl 0941.20003 Scharlau, Rudolf; Pham Huu Tiep 3 1999 Classification of integral lattices with large class number. Zbl 0919.11031 Scharlau, Rudolf; Hemkemeier, Boris 20 1998 Symplectic groups, symplectic spreads, codes, and unimodular lattices. Zbl 0887.20004 Scharlau, Rudolf; Pham Huu Tiep 6 1997 Reflective integral lattices. Zbl 0853.11053 Scharlau, Rudolf; Blaschke, Britta 6 1996 Buildings. Zbl 0841.51005 Scharlau, Rudolf 13 1995 Computations of cyclotomic lattices. Zbl 0873.11026 Batut, Christian; Quebbemann, Heinz-Georg; Scharlau, Rudolf 7 1995 The genus of the Barnes-Wall lattice. Zbl 0815.11034 Scharlau, Rudolf; Venkov, Boris B. 10 1994 Unimodular lattices over real quadratic fields. Zbl 0807.11021 Scharlau, Rudolf 6 1994 Integral lattices and hyperbolic reflection groups. Zbl 0815.20039 Scharlau, Rudolf; Walhorn, Claudia 12 1992 Geometrical realizations of shadow geometries. Zbl 0721.51007 Scharlau, Rudolf 4 1990 Gated sets in metric spaces. Zbl 0696.54022 Dress, Andreas W. M.; Scharlau, Rudolf 62 1987 A structure theorem for weak buildings of spherical type. Zbl 0644.51009 Scharlau, Rudolf 10 1987 The 37 combinatorial types of minimal, non-transitive, equivariant tilings of the Euclidean plane. Zbl 0628.05021 Dress, Andreas W. M.; Scharlau, Rudolf 4 1986 A characterization of Tits buildings by metrical properties. Zbl 0584.51002 Scharlau, Rudolf 7 1985 Metrical shellings of simplicial complexes. Zbl 0579.51012 Scharlau, Rudolf 1 1985 Zur Klassifikation äquivarianter Pflasterungen. (Classification of equivariant tesselations). Zbl 0577.52008 Dress, Andreas W. M.; Scharlau, Rudolf 4 1984 Indecomposable totally positive numbers in real quadratic orders. Zbl 0507.12002 Dress, Andreas; Scharlau, Rudolf 13 1982 An (almost trivial) local-global principle for the representation of -1 as a sum of squares in an arbitrary commutative ring. Zbl 0506.13014 Broecker, Ludwig; Dress, Andreas; Scharlau, Rudolf 1 1982 Zur Klassifikation von Bilinearformen und von Isometrien über Körpern. Zbl 0473.10019 Scharlau, Rudolf 13 1981 On the Pythagoras number of orders in totally real number fields. Zbl 0421.12017 Scharlau, Rudolf 12 1980 Darstellbarkeit von ganzen Zahlen durch Quadratsummen in einigen totalreellen Zahlkörpern. Zbl 0414.12007 Scharlau, Rudolf 2 1980 The fundamental unit in quadratic extensions of imaginary quadratic fields. Zbl 0432.12002 Scharlau, Rudolf 1 1980 A note on finitely generated torsion-free nilpotent groups of class 2. Zbl 0406.20031 Grunewald, Fritz J.; Scharlau, Rudolf 25 1979 Zur Darstellbarkeit von totalreellen ganzen algebraischen Zahlen durch Summen von Quadraten. Zbl 0412.10011 Scharlau, Rudolf 6 1979 Paare alternierender Formen. Zbl 0304.15008 Scharlau, Rudolf 23 1976 Quadratische Formen in additiven Kategorien. Zbl 0352.18018 Quebbemann, Heinz-Georg; Scharlau, Rudolf; Scharlau, Winfried; Schulte, M. 10 1976 all cited Publications top 5 cited Publications all top 5 Cited by 312 Authors 17 Chepoi, Victor D. 13 Scharlau, Rudolf 9 Nebe, Gabriele 7 Kala, Vítězslav 6 Bayer-Fluckiger, Eva 6 Mühlherr, Bernhard Matthias 6 Van Maldeghem, Hendrik J. 5 Dress, Andreas W. M. 5 Polat, Norbert 4 Baake, Michael 4 Bachoc, Christine 4 Bandelt, Hans-Jürgen 4 Kirschmer, Markus 4 Knauer, Kolja B. 4 Kramer, Linus 4 Krásenský, Jakub 4 Quebbemann, Heinz-Georg 4 Sergeichuk, Vladimir Vasil’evich 4 Szechtman, Fernando 4 Tinková, Magdaléna 4 Yatsyna, Pavlo 4 Zeiner, Peter 3 Abels, Herbert 3 Bogachev, Nikolay V. 3 Brešar, Boštjan 3 Cassidy, Charles 3 Chastand, Marc 3 Hirai, Hiroshi 3 Kasikova, Anna 3 Kim, Byeong Moon 3 Rains, Eric M. 3 Shult, Ernest E. 3 Horvat, Aleksandra Tepeh 3 Tiep Pham Huu 3 Zalesskii, Pavel 2 Abdukhalikov, Kanat S. 2 Bäni, Werner 2 Bartolone, Claudio G. 2 Belolipetsky, Mikhail V. 2 Borcherds, Richard Ewen 2 Brandhorst, Simon 2 Brooksbank, Peter A. 2 Casacuberta, Carles 2 Chalopin, Jérémie 2 Chua, Kok Seng 2 Corbas, B. 2 de Bessa, Vagner R. 2 de Jesus Nery, Genildo 2 de Seguins Pazzis, Clément 2 Devillers, Alice 2 Dragan, Feodor F. 2 Dummigan, Neil 2 Eick, Bettina 2 Espínola García, Rafael 2 Falcone, Giovanni 2 First, Uriya A. 2 Grunewald, Fritz J. 2 Hagauer, Johann 2 Heuer, Manuela 2 Hyodo, Fumitake 2 Kilsch, Dieter 2 Kirk, William Arthur 2 Klavžar, Sandi 2 Korhonen, Mikko 2 Lam, Ching Hung 2 Maglione, Joshua 2 Marc, Tilen 2 Mulder, Henry Martyn 2 Oger, Francis 2 Osajda, Damian L. 2 Olela Otafudu, Olivier 2 Philibert, Manon 2 Porto, Anderson Luiz Pedrosa 2 Powers, Robert C. 2 Raška, Martin 2 Scharlau, Winfried 2 Shahzad, Naseer 2 Shimada, Ichiro 2 Sloane, Neil James Alexander 2 Solé, Patrick 2 Tardif, Claude 2 Thas, Joseph Adolphe 2 Vaccaro, Maria Alessandra 2 Vavilov, Nikolaĭ Aleksandrovich 2 Vaxès, Yann 2 Venkov, Boris B. 2 Voight, John Michael 2 Weiss, Richard Mark 2 Wilkeit, Elke 2 Wilson, James B. 2 Zong, Chuanming 1 Abramenko, Peter 1 Alghamdi, Maryam A. 1 Allcock, Daniel Jonathan 1 Bacher, Roland 1 Barcelo, Hélène 1 Basak, Tathagata 1 Batut, Christian 1 Bei, Xiaohui 1 Belfiore, Jean-Claude ...and 212 more Authors all top 5 Cited in 104 Serials 21 Journal of Algebra 18 Journal of Number Theory 17 Discrete Mathematics 14 Linear Algebra and its Applications 9 European Journal of Combinatorics 7 Advances in Mathematics 7 Archiv der Mathematik 6 Communications in Algebra 5 Mathematische Zeitschrift 5 Journal de Théorie des Nombres de Bordeaux 5 Advances in Geometry 4 Discrete Applied Mathematics 4 Journal of Pure and Applied Algebra 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Topology and its Applications 4 International Journal of Number Theory 3 Mathematics of Computation 3 Duke Mathematical Journal 3 Geometriae Dedicata 3 Journal of Combinatorial Theory. Series A 3 Advances in Applied Mathematics 3 Expositiones Mathematicae 3 Experimental Mathematics 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Linear and Multilinear Algebra 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Arithmetica 2 Annales de l’Institut Fourier 2 Functiones et Approximatio. Commentarii Mathematici 2 Fuzzy Sets and Systems 2 Journal of Combinatorial Theory. Series B 2 Journal of the Korean Mathematical Society 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Seminario Matematico della Università di Padova 2 Tokyo Journal of Mathematics 2 Order 2 Discrete & Computational Geometry 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Algebraic Combinatorics 2 Izvestiya: Mathematics 2 Transformation Groups 2 The Ramanujan Journal 2 Journal of Group Theory 1 Information Processing Letters 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Canadian Journal of Mathematics 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 SIAM Journal on Computing 1 Theoretical Computer Science 1 Transactions of the Moscow Mathematical Society 1 Graphs and Combinatorics 1 Algorithmica 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 Aequationes Mathematicae 1 L’Enseignement Mathématique. 2e Série 1 International Journal of Computer Mathematics 1 Mathematical Programming. Series A. Series B 1 St. Petersburg Mathematical Journal 1 Finite Fields and their Applications 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Algebra and its Applications 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Journal of Mathematics and the Arts 1 Discrete Mathematics, Algorithms and Applications 1 Groups, Complexity, Cryptology 1 Acta Crystallographica. Section A 1 Arabian Journal of Mathematics ...and 4 more Serials all top 5 Cited in 35 Fields 113 Number theory (11-XX) 87 Group theory and generalizations (20-XX) 48 Combinatorics (05-XX) 44 Geometry (51-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 15 Convex and discrete geometry (52-XX) 14 Nonassociative rings and algebras (17-XX) 12 General topology (54-XX) 11 Manifolds and cell complexes (57-XX) 8 Associative rings and algebras (16-XX) 8 Information and communication theory, circuits (94-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 6 Computer science (68-XX) 5 Mathematical logic and foundations (03-XX) 5 Algebraic topology (55-XX) 4 Functional analysis (46-XX) 4 Operations research, mathematical programming (90-XX) 3 Field theory and polynomials (12-XX) 3 Category theory; homological algebra (18-XX) 2 Commutative algebra (13-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year