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Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms

About this Title

Wai Kiu Chan, Wesleyan University, Middletown, CT, Lenny Fukshansky, Claremont McKenna College, Claremont, CA, Rainer Schulze-Pillot, Universität des Saarlandes, Saarbrucken, Germany and Jeffrey D. Vaaler, University of Texas at Austin, Austin, TX, Editors

Publication: Contemporary Mathematics
Publication Year: 2013; Volume 587
ISBNs: 978-0-8218-8318-1 (print); 978-0-8218-9503-0 (online)
DOI: https://doi.org/10.1090/conm/587

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Table of Contents

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Front/Back Matter

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Articles

• Gabriele Nebe – Boris Venkov’s Theory of Lattices and Spherical Designs
• Juan M. Cerviño and Georg Hein – Generalized Theta Series and Spherical Designs
• Wai Kiu Chan and Byeong-Kweon Oh – Representations of integral quadratic polynomials
• Renaud Coulangeon and Gabriele Nebe – Dense lattices as Hermitian tensor products
• Rainer Dietmann – Small zeros of homogeneous cubic congruences
• A. G. Earnest and Ji Young Kim – Strictly Regular Diagonal Positive Definite Quaternary Integral Quadratic Forms
• Lenny Fukshansky – Heights and quadratic forms: Cassels’ theorem and its generalizations
• Juan José Alba González and Florian Luca – On the positive integers $n$ satisfying the equation $F_n = x^2 + n y^2$
• Jonathan Hanke – Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields
• D. R. Heath-Brown – $p$-adic Zeros of Systems of Quadratic Forms
• David Kettlestrings and Jeffrey Lin Thunder – The Number of Function Fields with Given Genus
• Gregory T. Minton – Unique Factorization in the Theory of Quadratic Forms
• Gabriele Nebe – Golden lattices
• Rudolf Scharlau – The extremal lattice of dimension 14, level 7 and its genus
• Achill Schürmann – Strict Periodic Extreme Lattices
• C. L. Stewart – Exceptional units and cyclic resultants, II
• Jeffrey D. Vaaler and Martin Widmer – A note on generators of number fields
• Takao Watanabe, Syouji Yano and Takuma Hayashi – Voronoï’s reduction theory of $GL_n$ over a totally real number field
• Mark Watkins – Some comments about Indefinite LLL