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Diophantine methods, lattices, and arithmetic theory of quadratic forms. Proceedings of the international workshop, Banff International Research Station (BIRS), Alberta, Canada, November 13–18, 2011. (English) Zbl 1260.11002

Contemporary Mathematics 587. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8318-1/pbk; 978-0-8218-9503-0/ebook). xii, 243 p. (2013).

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The articles of this volume will be reviewed individually.
Indexed articles:
Nebe, Gabriele, Boris Venkov’s theory of lattices and spherical designs, 1-19 [Zbl 1298.11002]
Cerviño, Juan M.; Hein, Georg, Generalized theta series and spherical designs, 21-29 [Zbl 1298.11065]
Chan, Wai Kiu; Oh, Beyong-Kweon, Representation of integral quadratic polynomials, 31-46 [Zbl 1298.11026]
Coulangeon, Renaud; Nebe, Gabriele, Dense lattices as Hermitian tensor products, 47-57 [Zbl 1298.11063]
Dietmann, Rainer, Small zeros of homogeneous cubic congruences, 59-68 [Zbl 1353.11068]
Earnest, A. G.; Kim, Ji Young, Strictly regular diagonal positive definite quaternary integral quadratic forms, 69-75 [Zbl 1298.11027]
Fukshansky, Lenny, Heights and quadratic forms: Cassels’ theorem and its generalizations, 77-93 [Zbl 1307.11044]
Alba González, Juan José; Luca, Florian, On the positive integers \(n\) satisfying the equation \(F_n = x^2 + {ny}^2\), 95-109 [Zbl 1303.11107]
Hanke, Jonathan, Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields, 111-130 [Zbl 1301.11042]
Heath-Brown, D. R., \(p\)-adic zeros of systems of quadratic forms, 131-139 [Zbl 1333.11036]
Kettlestrings, David; Thunder, Jeffrey Lin, The number of function fields with given genus, 141-149 [Zbl 1302.11092]
Minton, Gregory T., Unique factorization in the theory of quadratic forms, 151-156 [Zbl 1298.11031]
Nebe, Gabriele, Golden lattices, 157-165 [Zbl 1309.11041]
Scharlau, Rudolf, The extremal lattice of dimension 14, level 7 and its genus, 167-183 [Zbl 1298.11030]
Schürmann, Achill, Strict periodic extreme lattices, 185-190 [Zbl 1298.11066]
Stewart, C. L., Exceptional units and cyclic resultants. II, 191-200 [Zbl 1309.11075]
Vaaler, Jeffrey D.; Widmer, Martin, A note on generators of number fields, 201-211 [Zbl 1307.11108]
Watanabe, Takao; Yano, Syouji; Hayashi, Takuma, Voronoï’s reduction theory of \(\mathrm{GL}_n\) over a totally real number field, 213-232 [Zbl 1298.11067]
Watkins, Mark, Some comments about indefinite LLL, 233-243 [Zbl 1353.11059]

MSC:

11-06 Proceedings, conferences, collections, etc. pertaining to number theory
11Exx Forms and linear algebraic groups
11Mxx Zeta and \(L\)-functions: analytic theory
11D09 Quadratic and bilinear Diophantine equations
11G50 Heights
00B25 Proceedings of conferences of miscellaneous specific interest
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