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11-XX Number theory
11Dxx Diophantine equations

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Displaying 21 – 40 of 45

Linear equations over multiplicative groups in positive characteristic

Dominik J. Leitner (2012)

Acta Arithmetica

Linear equations with the Euler totient function

Florian Luca, Pantelimon Stănică (2007)

Acta Arithmetica

Linear equations with unknowns from a multiplicative group in a function field

Jan-Hendrik Evertse, Umberto Zannier (2008)

Acta Arithmetica

Linear forms in $p$ -adic logarithms. III

Kunrui Yu (1994)

Compositio Mathematica

Linear Spaces on the Intersection of Cubic Hypersurfaces.

D.J. Lewis, Rainer Schulze-Pillot (1984)

Monatshefte für Mathematik

Linearly Independent Zeros of Quadratic Forms over Number-Fields.

J.H.H. Chalk (1980)

Monatshefte für Mathematik

Ljunggren's Diophantine problem connected with virus structure.

Grytczuk, Aleksander (2006)

Annales Mathematicae et Informaticae

Local Diophantine Properties of Shimura Curves.

Bruce W. Jordan, Ron A. Livné (1985)

Mathematische Annalen

Local solvability of diagonal equations (again)

Christopher Skinner (2006)

Acta Arithmetica

Local-global principle for quadratic forms over fraction fields of two-dimensional henselian domains

Yong HU (2012)

Annales de l’institut Fourier

Let $R$ be a 2-dimensional normal excellent henselian local domain in which $2$ is invertible and let $L$ and $k$ be its fraction field and residue field respectively. Let $Ω_{R}$ be the set of rank 1 discrete valuations of $L$ corresponding to codimension 1 points of regular proper models of $Spec R$ . We prove that a quadratic form $q$ over $L$ satisfies the local-global principle with respect to $Ω_{R}$ in the following two cases: (1) $q$ has rank 3 or 4; (2) $q$ has rank $\geq 5$ and $R = A [[y]]$ , where $A$ is a complete discrete valuation ring with...

Lösbare Gleichungen axn - byn = c und Grundeinheiten für einige algebraische Zahlkörper vom Grade n = 3, 4, 6.

Hans-Joachim Stender (1977)

Journal für die reine und angewandte Mathematik

Lösungsanzahl der Gleichung |xd-czyd| = p.

Klaus Langmann (1994)

Manuscripta mathematica

Lösungsanzahl der homogenen Normformengleichung

Klaus Langmann (1994)

Compositio Mathematica

Lösungsanzahl der Thue-Gleichung

Klaus Langmann (1993)

Compositio Mathematica

Lower Bound for a Diophantine Approximation Function.

T.W. Cusick (1971)

Monatshefte für Mathematik

Lower bounds for perfect rational cuboids

Ivan Korec (1992)

Mathematica Slovaca

Lower bounds for resultants, I

J. H. Evertse, K. Györy (1993)

Compositio Mathematica

Lower bounds for the greatest prime factor of $a x^{m} + b y^{n}$

Yann Bugeaud (1998)

Acta Mathematica et Informatica Universitatis Ostraviensis

Lower bounds for the solutions in the second case of Fermat's equation with prime power exponents

Maohua Le (1993)

Colloquium Mathematicae

Lower limit for the number of sets of solutions of xe + ye + ze ... 0 (mod p).

L.E. Dickson (1909)

Journal für die reine und angewandte Mathematik

Currently displaying 21 – 40 of 45

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