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Diophantine methods, lattices, and arithmetic theory of quadratic forms : [electronic resource] international workshop, Banff Iternational Research Station, November 13-18, 2011, Banff, Alberta, Canada / Wai Kiu Chan, Lenny Fukshansky, Rainer Schulze-Pillot, Jeffrey D. Vaaler, editors.

By: International Workshop on Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms (2011 : Banff, Alta.).

Contributor(s): Chan, Wai Kiu, 1967- [editor of compilation.] | Fukshansky, Lenny, 1973- [editor of compilation.] | Schulze-Pillot, Rainer [editor of compilation.] | Vaaler, Jeffrey D [editor of compilation.].

Material type: materialTypeLabel

BookSeries: Contemporary mathematics, v. 587.Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Description: 1 online resource (xii, 243 pages).Content type: text Media type: unmediated Carrier type: volumeISBN: 9780821895030 (online).Subject(s): Linear algebraic groups | Forms, Quadratic | Number theory | Number theory -- Forms and linear algebraic groups -- Forms and linear algebraic groups | Number theory -- Geometry of numbers -- Geometry of numbers | Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Heights | Number theory -- Diophantine equations -- Quadratic and bilinear equationsAdditional physical formats: Diophantine methods, lattices, and arithmetic theory of quadratic forms :DDC classification: 512.7/4 Other classification: 11Exx | 11Hxx | 11G50 | 11D09 Online resources: Contents | Contents

Contents:

Boris Venkov's Theory of Lattices and Spherical Designs / Gabriele Nebe -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11672 Generalized Theta Series and Spherical Designs / Juan M. Cervi�no and Georg Hein -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11683 Representations of integral quadratic polynomials / Wai Kiu Chan and Byeong-Kweon Oh -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11684 Dense lattices as Hermitian tensor products / Renaud Coulangeon and Gabriele Nebe -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11675 Small zeros of homogeneous cubic congruences / Rainer Dietmann -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11685 Strictly Regular Diagonal Positive Definite Quaternary Integral Quadratic Forms / A. G. Earnest and Ji Young Kim -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11682 Heights and quadratic forms: Cassels' theorem and its generalizations / Lenny Fukshansky -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11673 On the positive integers $n$ satisfying the equation $F_n = x^2 + n y^2$ / Juan Jos�e Alba Gonz�alez and Florian Luca -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11677 Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields / Jonathan Hanke -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11697 $p$-adic Zeros of Systems of Quadratic Forms / D. R. Heath-Brown -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11678 The Number of Function Fields with Given Genus / David Kettlestrings and Jeffrey Lin Thunder -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11679 Unique Factorization in the Theory of Quadratic Forms / Gregory T. Minton -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11681 Golden lattices / Gabriele Nebe -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11676 The extremal lattice of dimension 14, level 7 and its genus / Rudolf Scharlau -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11696 Strict Periodic Extreme Lattices / Achill Sch�urmann -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11686 Exceptional units and cyclic resultants, II / C. L. Stewart -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11698 A note on generators of number fields / Jeffrey D. Vaaler and Martin Widmer -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11695 Vorono�i's reduction theory of $GL_n$ over a totally real number field / Takao Watanabe, Syouji Yano and Takuma Hayashi -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11680 Some comments about Indefinite LLL / Mark Watkins -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11674

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Boris Venkov's Theory of Lattices and Spherical Designs / Gabriele Nebe -- Generalized Theta Series and Spherical Designs / Juan M. Cervi�no and Georg Hein -- Representations of integral quadratic polynomials / Wai Kiu Chan and Byeong-Kweon Oh -- Dense lattices as Hermitian tensor products / Renaud Coulangeon and Gabriele Nebe -- Small zeros of homogeneous cubic congruences / Rainer Dietmann -- Strictly Regular Diagonal Positive Definite Quaternary Integral Quadratic Forms / A. G. Earnest and Ji Young Kim -- Heights and quadratic forms: Cassels' theorem and its generalizations / Lenny Fukshansky -- On the positive integers $n$ satisfying the equation $F_n = x^2 + n y^2$ / Juan Jos�e Alba Gonz�alez and Florian Luca -- Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields / Jonathan Hanke -- $p$-adic Zeros of Systems of Quadratic Forms / D. R. Heath-Brown -- The Number of Function Fields with Given Genus / David Kettlestrings and Jeffrey Lin Thunder -- Unique Factorization in the Theory of Quadratic Forms / Gregory T. Minton -- Golden lattices / Gabriele Nebe -- The extremal lattice of dimension 14, level 7 and its genus / Rudolf Scharlau -- Strict Periodic Extreme Lattices / Achill Sch�urmann -- Exceptional units and cyclic resultants, II / C. L. Stewart -- A note on generators of number fields / Jeffrey D. Vaaler and Martin Widmer -- Vorono�i's reduction theory of $GL_n$ over a totally real number field / Takao Watanabe, Syouji Yano and Takuma Hayashi -- Some comments about Indefinite LLL / Mark Watkins --

Central Library

Diophantine methods, lattices, and arithmetic theory of quadratic forms : [electronic resource] international workshop, Banff Iternational Research Station, November 13-18, 2011, Banff, Alberta, Canada / Wai Kiu Chan, Lenny Fukshansky, Rainer Schulze-Pillot, Jeffrey D. Vaaler, editors.

By: International Workshop on Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms (2011 : Banff, Alta.).

Contributor(s): Chan, Wai Kiu, 1967- [editor of compilation.] | Fukshansky, Lenny, 1973- [editor of compilation.] | Schulze-Pillot, Rainer [editor of compilation.] | Vaaler, Jeffrey D [editor of compilation.].