Descent via isogeny in dimension 2
E. V. Flynn (1994)
Acta Arithmetica
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E. V. Flynn (1994)
Acta Arithmetica
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Matthew J. Klassen, Edward F. Schaefer (1996)
Acta Arithmetica
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Stéphane Louboutin, Young-Ho Park, Yann Lefeuvre (1999)
Acta Arithmetica
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Todd Cochrane, Zhiyong Zheng (2000)
Acta Arithmetica
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Jonathan Pila, Fernando Rodriguez Villegas (1999)
Acta Arithmetica
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A classic theorem of Pólya shows that the function is the “smallest” integral-valued entire transcendental function. A variant due to Gel’fond applies to entire functions taking integral values on a geometric progression of integers, and Bézivin has given a generalization of both results. We give a sharp formulation of Bézivin’s result together with a further generalization.
Valentin Gutev, Haruto Ohta (2000)
Fundamenta Mathematicae
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The above question was raised by Teodor Przymusiński in May, 1983, in an unpublished manuscript of his. Later on, it was recognized by Takao Hoshina as a question that is of fundamental importance in the theory of rectangular normality. The present paper provides a complete affirmative solution. The technique developed for the purpose allows one to answer also another question of Przymusiński's.
A. Borisov, M. Filaseta, T. Y. Lam, O. Trifonov (1999)
Acta Arithmetica
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Wolfgang Lück (1999)
Fundamenta Mathematicae
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We introduce the universal functorial Lefschetz invariant for endomorphisms of finite CW-complexes in terms of Grothendieck groups of endomorphisms of finitely generated free modules. It encompasses invariants like Lefschetz number, its generalization to the Lefschetz invariant, Nielsen number and -torsion of mapping tori. We examine its behaviour under fibrations.