Convergents of folded continued fractions

We deal with some problems posed by Monk [Mo 1], [Mo 3] and related to cardinal invariants of ultraproducts of Boolean algebras. We also introduce and investigate several new cardinal invariants.

Minimum and maximum order of magnitude of the discrepancy of (nα)

C. Baxa, J. Schoissengeier (1994)

Acta Arithmetica

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On the insertion of Darboux functions

Aleksander Maliszewski (1998)

Fundamenta Mathematicae

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The main goal of this paper is to characterize the family of all functions f which satisfy the following condition: whenever g is a Darboux function and f < g on ℝ there is a Darboux function h such that f < h < g on ℝ.

The universal functorial Lefschetz invariant

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 $L^{2}$ -torsion of mapping tori. We examine its behaviour under fibrations.

Pure and mixed exponential sums

Todd Cochrane, Zhiyong Zheng (1999)

Acta Arithmetica

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