Results 41 to 50 of about 84 (68)

Thue equations and related topics

, 2008
Using a classical result of Thue, we give an upper bound for the number of solutions to a family of quartic Thue equations. We also give an upper bound upon the number of solutions to a family of quartic Thue inequalities.
S. Akhtari
semanticscholar   +2 more sources

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Algebra and geometry, an introduction to university mathematics

Mathematical Gazette, 2023
Algebra and geometry, an introduction to university mathematics (second edition) by Mark V. Lawson, pp. 424, £49.99 (paper), ISBN 978-0-36756-303-5, CRC/Taylor and Francis (2021) This book aims to provide a bridge between school mathematics and ...
N. Lord
semanticscholar   +1 more source

NONLINEAR DIOPHANTINE EQUATIONS IN CRYPTOGRAPHY ALGEBRAIC APPROACHES TO POST-QUANTUM SECURITY

JP Journal of Algebra Number Theory and Applications
This paper investigates nonlinear Diophantine equations as a foundation for post-quantum cryptography. Unlike RSA and ECC, which rely on factorization and discrete logarithms vulnerable to Shor’s algorithm, nonlinear systems with mixed degrees (quadratic,
Mariam Almahdi Mohammed Mulla Mull
semanticscholar   +1 more source

Diophantine problems related to cyclic cubic and quartic fields

Journal of Number Theory, 2022
Szabolcs Tengely, Maciej Ulas
exaly  

Some quartic curves with no points in any cubic field

, 1986
A. Bremner
semanticscholar   +1 more source

On the diophantine equation x 2 + 2 α 5 β 13 γ = y n

, 2008
Edray Goins, F. Luca, A. Togbé
semanticscholar   +1 more source

SOME DIOPHANTINE PROBLEMS ARISING FROM THE ISOMORPHISM PROBLEM OF GENERIC POLYNOMIALS

, 2009
Akinari Hoshi, Nishi-Ikebukuro Toshima-ku   +1 more
semanticscholar   +1 more source

Rational Points on Higher-Genus Curves

, 2007
Sylvain Duquesne
semanticscholar   +1 more source

Algorithmic Number Theory, 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings

International Workshop on Ant Colony Optimization and Swarm Intelligence, 2006
F. Hess, S. Pauli, M. Pohst
semanticscholar   +1 more source

Straddled optical solitons for cubic–quartic Lakshmanan–Porsezian–Daniel model by Lie symmetry

Physics Letters, Section A: General, Atomic and Solid State Physics, 2021
Sachin Kumar, Anjan Biswas, Qin Zhou
exaly