Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics
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9780821883181, 9780821895030

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Representations of integral quadratic polynomials

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11684 ◽

2013 ◽

pp. 31-46 ◽

Author(s):

Wai Chan ◽

Byeong-Kweon Oh

Keyword(s):

Quadratic Polynomials

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The extremal lattice of dimension 14, level 7 and its genus

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11696 ◽

2013 ◽

pp. 167-183

Author(s):

Rudolf Scharlau

Keyword(s):

Extremal Lattice

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Generalized Theta Series and Spherical Designs

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11683 ◽

2013 ◽

pp. 21-29

Author(s):

Juan Cerviño ◽

Georg Hein

Keyword(s):

Theta Series ◽

Spherical Designs ◽

Generalized Theta Series

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Strictly Regular Diagonal Positive Definite Quaternary Integral Quadratic Forms

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11682 ◽

2013 ◽

pp. 69-75 ◽

Author(s):

A. Earnest ◽

Ji Kim

Keyword(s):

Quadratic Forms ◽

Positive Definite

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On the positive integers 𝑛 satisfying the equation 𝐹_{𝑛}=𝑥²+𝑛𝑦²

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11677 ◽

2013 ◽

pp. 95-109 ◽

Author(s):

Juan González ◽

Florian Luca

Keyword(s):

Positive Integers

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Some comments about Indefinite LLL

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11674 ◽

2013 ◽

pp. 233-243

Author(s):

Mark Watkins

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Golden lattices

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11676 ◽

2013 ◽

pp. 157-165 ◽

Author(s):

Gabriele Nebe

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Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11697 ◽

2013 ◽

pp. 111-130

Author(s):

Jonathan Hanke

Keyword(s):

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Small zeros of homogeneous cubic congruences

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11685 ◽

2013 ◽

pp. 59-68

Author(s):

Rainer Dietmann

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Voronoï’s reduction theory of 𝐺𝐿_{𝑛} over a totally real number field

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms - Contemporary Mathematics ◽

10.1090/conm/587/11680 ◽

2013 ◽

pp. 213-232 ◽

Author(s):

Takao Watanabe ◽

Syouji Yano ◽

Takuma Hayashi

Keyword(s):

Real Number ◽

Number Field ◽

Reduction Theory ◽

Totally Real ◽

Real Number Field

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