Heights and quadratic forms: on Cassels' theorem and its generalizations

zbMath1307.11044arXiv1204.1938MaRDI QIDQ5167416

Lenny Fukshansky

Publication date: 9 July 2014

Full work available at URL: https://arxiv.org/abs/1204.1938

zbMATH Keywords

quadratic formsheightseffective zeroes

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Heights (11G50) Bilinear and Hermitian forms (11E39)

Related Items (7)

Height bounds on zeros of quadratic forms over \(\overline{\mathbb Q}\) ⋮ Small representations of integers by integral quadratic forms ⋮ Effective estimates on integral quadratic forms: Masser's conjecture, generators of orthogonal groups, and bounds in reduction theory ⋮ Small zeros of quadratic forms outside a union of varieties ⋮ Espaces adéliques quadratiques ⋮ A remark on positive definite quadratic forms and rational points ⋮ On zeros of multilinear polynomials

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