EUDML | Variations on a theme of Runge: effective determination of integral points on certain varieties

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Displaying similar documents to “Variations on a theme of Runge: effective determination of integral points on certain varieties”

Ideal class groups, Hilbert’s irreducibility theorem, and integral points of bounded degree on curves

Aaron Levin (2007)

Journal de Théorie des Nombres de Bordeaux

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We study the problem of constructing and enumerating, for any integers $m, n > 1$ , number fields of degree $n$ whose ideal class groups have “large" $m$ -rank. Our technique relies fundamentally on Hilbert’s irreducibility theorem and results on integral points of bounded degree on curves.

A combinatorial identity arising from cobordism theory.

Gijswijt, D., Moree, P. (2005)

Acta Mathematica Universitatis Comenianae. New Series

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On some Diophantine equations. I.

Savin, Diana (2002)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Factorization problems in class number two

Franz Halter-Koch (1993)

Colloquium Mathematicae

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Homoroot integer numbers.

Hooshmand, M.H. (2010)

Acta Mathematica Universitatis Comenianae. New Series

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Linearly invariant families of holomorphic mappings of a ball. The dimension reduction method.

Liczberski, Piotr, Starkov, V.V. (2001)

Sibirskij Matematicheskij Zhurnal

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On composition factors of finite groups having the same set of element orders as the group $U_{3} (q)$ .

Aleeva, M.R. (2002)

Sibirskij Matematicheskij Zhurnal

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Explicit construction of a global uniformization for an algebraic correspondence.

Dolgopolova, O. B., Zverovich, È. I. (2000)

Sibirskij Matematicheskij Zhurnal

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