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Displaying 281 – 300 of 388

On the exponential local-global principle

Boris Bartolome, Yuri Bilu, Florian Luca (2013)

Acta Arithmetica

Skolem conjectured that the "power sum" A(n) = λ₁α₁ⁿ + ⋯ + λₘαₘⁿ satisfies a certain local-global principle. We prove this conjecture in the case when the multiplicative group generated by α₁,...,αₘ is of rank 1.

On the extendibility of the Diophantine triple ${1, 5, c}$ .

Abu Muriefah, Fadwa S., Al-Rashed, Amal (2004)

International Journal of Mathematics and Mathematical Sciences

On the extension of the Diophantine pair ${1, 3}$ in $ℤ [\sqrt{d}]$ .

Franušić, Zrinka (2010)

Journal of Integer Sequences [electronic only]

On the family of diophantine triples ${k + 2, 4 k, 9 k + 6}$ .

Filipin, Alan, Togbé, Alain (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

On the family of Thue equations x³ - (n-1)x²y - (n+2)xy² - y³ = k

M. Mignotte, A. Pethő, F. Lemmermeyer (1996)

Acta Arithmetica

On the first case of Fermat's last theorem.

Takashi Agoh (1980)

Journal für die reine und angewandte Mathematik

On the First Case of Fermat's Last Theorem, II.

Takashi Agoh (1986)

Manuscripta mathematica

On the Frobenius number of a modular Diophantine inequality

José Carlos Rosales, P. Vasco (2008)

Mathematica Bohemica

We present an algorithm for computing the greatest integer that is not a solution of the modular Diophantine inequality $a x mod b \leq x$ , with complexity similar to the complexity of the Euclid algorithm for computing the greatest common divisor of two integers.

On the Frobenius number of a proportionally modular Diophantine inequality.

Delgado, M., Rosales, J.C. (2006)

Portugaliae Mathematica. Nova Série

On the Frobenius number of Fibonacci numerical semigroups.

Marín, J.M., Ramírez Alfonsín, J.L., Revuelta, M.P. (2007)

Integers

On the Frobenius number of some Lucas numerical semigroups.

Ýlhan, Sedat, Kýper, Ruveyde (2008)

Acta Universitatis Apulensis. Mathematics - Informatics

On the Frobenius problem for ${a^{k}, a^{k} + 1, a^{k} + a, \dots, a^{k} + a^{k - 1}}$ .

Tripathi, Amitabha (2010)

Integers

On the Frobenius problem for geometric sequences.

Tripathi, Amitabha (2008)

Integers

On the Galois groups of cubics and trinomials

Phyllis Lefton (1979)

Acta Arithmetica

On the generalized Fermat equation over totally real fields

Heline Deconinck (2016)

Acta Arithmetica

In a recent paper, Freitas and Siksek proved an asymptotic version of Fermat’s Last Theorem for many totally real fields. We prove an extension of their result to generalized Fermat equations of the form $A x^{p} + B y^{p} + C z^{p} = 0$ , where A, B, C are odd integers belonging to a totally real field.

Currently displaying 281 – 300 of 388

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Displaying 281 – 300 of 388

On the exponential local-global principle

On the extendibility of the Diophantine triple ${1, 5, c}$ .

On the extension of the Diophantine pair ${1, 3}$ in $ℤ [\sqrt{d}]$ .

On the family of diophantine triples ${k + 2, 4 k, 9 k + 6}$ .

On the family of Thue equations x³ - (n-1)x²y - (n+2)xy² - y³ = k

On the first case of Fermat's last theorem.

On the First Case of Fermat's Last Theorem, II.

On the Frobenius number of a modular Diophantine inequality

On the Frobenius number of a proportionally modular Diophantine inequality.

On the Frobenius number of Fibonacci numerical semigroups.

On the Frobenius number of some Lucas numerical semigroups.

On the Frobenius problem for ${a^{k}, a^{k} + 1, a^{k} + a, \dots, a^{k} + a^{k - 1}}$ .

On the Frobenius problem for geometric sequences.

On the Galois groups of cubics and trinomials

On the generalized Fermat equation over totally real fields

On the generalized Ramanujan-Nagell equation I

On the generalized Ramanujan-Nagell equation, II

On the generalized Ramanujan-Nagell equation $x^{2} - D = p^{n}$

On the greatest prime factor of $(a x^{m} + b y^{n})$

On the greatest prime factor of (ab + 1)(bc + 1)(ca + 1)

Currently displaying 281 – 300 of 388