A stationary phase formula for exponential sums over and applications to GL(3)-Kloosterman sums
Romuald Dąbrowski, Benji Fisher (1997)
Acta Arithmetica
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Romuald Dąbrowski, Benji Fisher (1997)
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.
E. V. Flynn (1994)
Acta Arithmetica
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Daciberg Gonçalves, Jerzy Jezierski (1997)
Fundamenta Mathematicae
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We generalize the Lefschetz coincidence theorem to non-oriented manifolds. We use (co-) homology groups with local coefficients. This generalization requires the assumption that one of the considered maps is orientation true.
Jon Aaronson, Mariusz Lemańczyk, Dalibor Volný (1998)
Fundamenta Mathematicae
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We study the centraliser of locally compact group extensions of ergodic probability preserving transformations. New methods establishing ergodicity of group extensions are introduced, and new examples of squashable and non-coalescent group extensions are constructed.