The least prime primitive root and the shifted sieve
Greg Martin (1997)
Acta Arithmetica
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Greg Martin (1997)
Acta Arithmetica
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Yuri Bilu, Guillaume Hanrot (1999)
Acta Arithmetica
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Karl K. Norton (1998)
Acta Arithmetica
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Daniel Berend, Jorgen E. Harmse (1998)
Acta Arithmetica
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Pieter Moree (1997)
Acta Arithmetica
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Victor Scharaschkin (1999)
Acta Arithmetica
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Rüdiger Göbel, Simone Pabst (1998)
Fundamenta Mathematicae
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The paper deals with realizations of R-algebras A as endomorphism algebras End G ≅ A of suitable R-modules G over a commutative ring R. We are mainly interested in the case of R having "many prime ideals", such as R = ℝ[x], the ring of real polynomials, or R a non-discrete valuation domain
Jozef Bobok (1999)
Fundamenta Mathematicae
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Defining the complexity of a green pattern exhibited by an interval map, we give the best bounds of the topological entropy of a pattern with a given complexity. Moreover, we show that the topological entropy attains its strict minimum on the set of patterns with fixed eccentricity m/n at a unimodal X-minimal case. Using a different method, the last result was independently proved in[11].