Diophantine methods, lattices, and arithmetic theory of quadratic forms : international workshop, Banff Iternational Research Station, November 13-18, 2011, Banff, Alberta, Canada / [electronic resource]
Wai Kiu Chan, Lenny Fukshansky, Rainer Schulze-Pillot, Jeffrey D. Vaaler, editors.
- 1 online resource (xii, 243 pages)
- Contemporary mathematics, v. 587 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
Boris Venkov's Theory of Lattices and Spherical Designs / Generalized Theta Series and Spherical Designs / Representations of integral quadratic polynomials / Dense lattices as Hermitian tensor products / Small zeros of homogeneous cubic congruences / Strictly Regular Diagonal Positive Definite Quaternary Integral Quadratic Forms / Heights and quadratic forms: Cassels' theorem and its generalizations / On the positive integers $n$ satisfying the equation $F_n = x^2 + n y^2$ / Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields / $p$-adic Zeros of Systems of Quadratic Forms / The Number of Function Fields with Given Genus / Unique Factorization in the Theory of Quadratic Forms / Golden lattices / The extremal lattice of dimension 14, level 7 and its genus / Strict Periodic Extreme Lattices / Exceptional units and cyclic resultants, II / A note on generators of number fields / Vorono�i's reduction theory of $GL_n$ over a totally real number field / Some comments about Indefinite LLL / Gabriele Nebe -- Juan M. Cervi�no and Georg Hein -- Wai Kiu Chan and Byeong-Kweon Oh -- Renaud Coulangeon and Gabriele Nebe -- Rainer Dietmann -- A. G. Earnest and Ji Young Kim -- Lenny Fukshansky -- Juan Jos�e Alba Gonz�alez and Florian Luca -- Jonathan Hanke -- D. R. Heath-Brown -- David Kettlestrings and Jeffrey Lin Thunder -- Gregory T. Minton -- Gabriele Nebe -- Rudolf Scharlau -- Achill Sch�urmann -- C. L. Stewart -- Jeffrey D. Vaaler and Martin Widmer -- Takao Watanabe, Syouji Yano and Takuma Hayashi -- Mark Watkins -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11672 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11683 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11684 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11675 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11685 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11682 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11673 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11677 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11697 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11678 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11679 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11681 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11676 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11696 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11686 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11698 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11695 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11680 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11674
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9780821895030 (online)
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 equations.
QA179 / .I58 2011
512.7/4
Includes bibliographical references.
Boris Venkov's Theory of Lattices and Spherical Designs / Generalized Theta Series and Spherical Designs / Representations of integral quadratic polynomials / Dense lattices as Hermitian tensor products / Small zeros of homogeneous cubic congruences / Strictly Regular Diagonal Positive Definite Quaternary Integral Quadratic Forms / Heights and quadratic forms: Cassels' theorem and its generalizations / On the positive integers $n$ satisfying the equation $F_n = x^2 + n y^2$ / Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields / $p$-adic Zeros of Systems of Quadratic Forms / The Number of Function Fields with Given Genus / Unique Factorization in the Theory of Quadratic Forms / Golden lattices / The extremal lattice of dimension 14, level 7 and its genus / Strict Periodic Extreme Lattices / Exceptional units and cyclic resultants, II / A note on generators of number fields / Vorono�i's reduction theory of $GL_n$ over a totally real number field / Some comments about Indefinite LLL / Gabriele Nebe -- Juan M. Cervi�no and Georg Hein -- Wai Kiu Chan and Byeong-Kweon Oh -- Renaud Coulangeon and Gabriele Nebe -- Rainer Dietmann -- A. G. Earnest and Ji Young Kim -- Lenny Fukshansky -- Juan Jos�e Alba Gonz�alez and Florian Luca -- Jonathan Hanke -- D. R. Heath-Brown -- David Kettlestrings and Jeffrey Lin Thunder -- Gregory T. Minton -- Gabriele Nebe -- Rudolf Scharlau -- Achill Sch�urmann -- C. L. Stewart -- Jeffrey D. Vaaler and Martin Widmer -- Takao Watanabe, Syouji Yano and Takuma Hayashi -- Mark Watkins -- http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11672 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11683 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11684 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11675 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11685 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11682 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11673 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11677 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11697 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11678 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11679 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11681 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11676 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11696 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11686 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11698 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11695 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11680 http://www.ams.org/conm/587/ http://dx.doi.org/10.1090/conm/587/11674
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9780821895030 (online)
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 equations.
QA179 / .I58 2011
512.7/4