Diophantine Methods, Lattices and Arithmetic Theory of Quadratic Forms

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

Boris Venkov's theory of lattices and spherical designs by G. Nebe Generalized theta series and spherical designs by J. M. Cervino and G. Hein Representations of integral quadratic polynomials by W. K. Chan and B.-K. Oh Dense lattices as Hermitian tensor products by R. Coulangeon and G. Nebe Small zeros of homogeneous cubic congruences by R. Dietmann Strictly regular diagonal positive definite quaternary integral quadratic forms by A. G. Earnest and J. Y. Kim Heights and quadratic forms: Cassels' theorem and its generalizations by L. Fukshansky On the positive integers $n$ satisfying the equation $F_n=x^2+ny^2$ by J. J. A. Gonzalez and F. Luca Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields by J. Hanke $p$ adic zeros of systems of quadratic forms by D. R. Heath-Brown The number of function fields with given genus by D. Kettlestrings and J. L. Thunder Unique factorization in the theory of quadratic forms by G. T. Minton Golden lattices by G. Nebe The extremal lattice of dimension 14, level 7 and its genus by R. Scharlau Strict periodic extreme lattices by A. Schurmann Exceptional units and cyclic resultants, II by C.L. Stewart A note on generators of number fields by J. D. Vaaler and M. Widmer Voronoi's reduction theory of $GL_n$ over a totally real number field by T. Watanabe, S. Yano, and T. Hayashi Some comments about indefinite LLL by M. Watkins