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Diophantine methods, lattices, and arithmetic theory of quadratic forms : international workshop, Banff International Research Station, November 13-18, 2011, Banff, Alberta, Canada

Author: Wai Kiu Chan; Lenny Fukshansky; Rainer Schulze-Pillot; Jeffrey D Vaaler
Publisher: Providence, Rhode Island : American Mathematical Society, [2013]
Series: Contemporary mathematics (American Mathematical Society), v. 587.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

This volume contains the proceedings of the International Workshop on Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms. The articles cover the arithmetic theory of quadratic  Read more...

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Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Wai Kiu Chan; Lenny Fukshansky; Rainer Schulze-Pillot; Jeffrey D Vaaler
ISBN: 9780821883181 0821883186
OCLC Number: 827114847
Description: xii, 243 pages ; 26 cm.
Contents: Boris Venkov's theory of lattices and spherical designs / Gabriele Nebe --
Generalized theta series and spherical designs / Juan M. Cerviño and George 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 homogensous 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[subscript n] = x²+ny² / Juan José Alba González 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 Schürmann --
Exceptional units and cyclic resultants, II / C.L. Stewart --
A note on generators of number fields / Jeffrey D. Vaaler and Martin Widmer --
Voronoï's reduction theory of GL[subscript n] over a totally real number field / Takao Watanabe, Syouji Yano, and Takuma Hayashi --
Some comments about indefinite LLL / Mark Watkins.
Series Title: Contemporary mathematics (American Mathematical Society), v. 587.
Responsibility: Wai Kiu Chan, Lenny Fukshansky, Rainer Schulze-Pillot, Jeffrey D. Vaaler, editors.

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