Small Solutions of Quadratic Diophantine Equations

DOI10.1112/S0024611502013898zbMath1036.11009OpenAlexW2143947982MaRDI QIDQ4432685

Rainer Dietmann

Publication date: 29 October 2003

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611502013898

zbMATH Keywords

quadratic Diophantine equationsapplications of the circle methodsmall solutions of quadratic forms

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Quadratic and bilinear Diophantine equations (11D09) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Lattices and convex bodies (number-theoretic aspects) (11H06) Diophantine equations in many variables (11D72)

Related Items (9)

On the leading constant in the Manin-type conjecture for Campana points ⋮ 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 ⋮ On realization of isometries for higher rank quadratic lattices over number fields ⋮ Representing integers by multilinear polynomials ⋮ Cryptanalysis of a quadratic knapsack cryptosystem ⋮ Polynomial bounds for equivalence of quadratic forms with cube-free determinant ⋮ Identification and signatures based on NP-hard problems of indefinite quadratic forms ⋮ On the gaps between values of binary quadratic forms

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