MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  Contents

Download:
Download as a PDF
by Paulo Ney De Souza
http://www.math.berkeley.edu/~desouza/Papers/quadratic.pdf
Add To MetaCart

Abstract:

This manuscript is part of a book in progress on geometric topology of 4-manifolds.

Citations

407 Factoring polynomials with rational coefficients – Lenstra, Lenstra, et al. - 1982
258 Differential geometry, Lie groups, and symmetric spaces – Helgason - 1978
196 The Theory of Matrices – Lancaster, Tismenetsky - 1985
130 On Lovász’ lattice reduction and the nearest lattice point problem – Babai - 1986
104 Improved methods for calculating vectors of short length in a lattice, including a complexity analysis – Fincke, Phost - 1985
80 Quadratic and Hermitian Forms – Scharlau - 1985
77 Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems – Bunch, Kaufman - 1977
67 Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix – Kannan, Bachem - 1979
54 Direct methods for solving symmetric indefinite systems of linear equations – Bunch, Parlett - 1971
42 Improved algorithms for integer programming and related problems – Kannan - 1983
32 Another NP-complete partition problem and the complexity of computing short vectors in a lattice – Boas - 1981
31 Sur les formes quadratiques – Korkine, Zolotareff
28 Worst-case complexity bounds for algorithms in the theory of integral quadratic forms – Lagarias - 1980
27 How to calculate shortest vectors in a lattice – Dieter - 1975
27 A hierarchy of polynomial time basis reduction algorithms – Schnorr - 1985
26 1896): Geometrie der Zahlen – Minkowski - 1896
24 On the computation of lattice vectors of minimal length, successive minima and reduced bases with applications – Pohst - 1981
21 Factorization of univariate integer polynomials by Diophantine approximation and an improved basis reduction algorithm – Schönhage - 1984
19 Decomposition of a symmetric matrix – Bunch, Kaufman, et al. - 1976
17 Algorithms to construct Minkowski reduced and Hermite reduced lattice bases. Theoret – Helfrich - 1985
14 Klassenzahlen definiter quadratischer Formen – Kneser - 1957
12 Definite quadratische Formen der Dimension 24 und Diskriminante 1 – Niemeier - 1973
11 Untersuchungen uber quadratische Formen in Korpern der Charakteristik 2 – Arf - 1941
11 Sphere Packings, Lattices and Groups, volume 290 of Grundlehren der mathematischen Wissenschaften – Conway, Sloane - 1988
11 On the classification of integral even unimodular 24-dimensional quadratic forms. Proc. Steklov Inst – Venkov - 1980
10 Notes on sphere packings – Leech - 1967
9 The Leech lattice and other lattices – Borcherds - 1984
7 Calculation of Minkowski-reduced lattice bases – Afflerbach, Grothe - 1985
6 Lattices and the basis reduction algorithm – Bachem, Kannan - 1984
6 der Blij, An invariant of quadratic forms mod 8 – van - 1959
5 Manifestations of the Schur complement. Linear Algebra and its – Cottle - 1974
5 Determination of the inertia of a partitioned Hermitian matrix – Haynsworth - 1968
4 On the enumeration of lattices of determinant one – Conway, Sloane - 1982
4 The unimodular lattices of dimension up to 23 and the Minkowski-Siegel mass constants – Conway, Sloane - 1982
4 Formes bilinéaires symétriques entières à discriminant ±1 – Serre - 1961
4 Gesammelte Abhandlungen – Weyl - 1968
4 Eine Identität zwischen Modulformen zweiten Grades – Witt - 1941
3 Neue Theoreme der höheren Arithmetik, Crelle’s Journal 35 (1847) 117–136 – Eisenstein - 1975
3 Felder von Flächenelementen in 4dimensionalen Mannigfaltigkeiten – Hirzebruch, Hopf - 1958
3 On the orders and genera of quadratic forms containing more than three indeterminates – Smith - 1965
2 All orientable 4-dimensional manifolds embed – Souza
2 Note zur Theorie der Kristallgitter – Eichler - 1952
2 On definite quadratic forms, which are not the sum of two definite or semi-definite forms – s, Ko - 1939
2 Uber das Tragheitsgesetz der quadratischen Formen – Frobenius - 1968
2 Zur Theorie der Kristallgitter – Kneser - 1954
2 On the positive definite quadratic forms with determinant unity – Ko - 1939
2 Über die Arfsche Invariante quadratischer Formen mod 2. Journ. fur die reine und angew – Klingenberg, Witt - 1954
2 Symmetric Bilinear Forms, volume 73 of Ergeb. der Math. und ihrer Grenzgebiete – Milnor, Husemoller - 1973
2 A more efficient basis reduction algorithm – Schnorr - 1986
2 Cours d’Arithmétique. Presses Univ. de France – Serre - 1970