On arithmetic progressions having only few different prime factors in comparison with their length

Pieter Moree

Displaying similar documents to “On arithmetic progressions having only few different prime factors in comparison with their length”

Genera of arithmetic Fuchsian groups

Stefan Johansson (1998)

Acta Arithmetica

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Number of representations related to a linear recurrent basis

Jean Marie Dumont, Nikita Sidorov, Alain Thomas (1999)

Acta Arithmetica

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Homeomorphisms of inverse limit spaces of one-dimensional maps

Marcy Barge, Beverly Diamond (1995)

Fundamenta Mathematicae

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We present a new technique for showing that inverse limit spaces of certain one-dimensional Markov maps are not homeomorphic. In particular, the inverse limit spaces for the three maps from the tent family having periodic kneading sequence of length five are not homeomorphic.

A proof of quintic reciprocity using the arithmetic of y² = x⁵ + 1/4

David Grant (1996)

Acta Arithmetica

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Proof of a conjecture of Selmer

Jukka Pihko (1993)

Acta Arithmetica

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Subcontinua of inverse limit spaces of unimodal maps

Karen Brucks, Henk Bruin (1999)

Fundamenta Mathematicae

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We discuss the inverse limit spaces of unimodal interval maps as topological spaces. Based on the combinatorial properties of the unimodal maps, properties of the subcontinua of the inverse limit spaces are studied. Among other results, we give combinatorial conditions for an inverse limit space to have only arc+ray subcontinua as proper (non-trivial) subcontinua. Also, maps are constructed whose inverse limit spaces have the inverse limit spaces of a prescribed set of periodic unimodal...

Towers of measurable functions

James Hirschorn (2000)

Fundamenta Mathematicae

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We formulate variants of the cardinals f, p and t in terms of families of measurable functions, in order to examine the effect upon these cardinals of adding one random real.