Hyper-Kloosterman sums and estimation of exponential sums of polynomials of higher degrees
Yangbo Ye (1998)
Acta Arithmetica
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Yangbo Ye (1998)
Acta Arithmetica
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Jukka Pihko (1993)
Acta Arithmetica
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Shigeki Akiyama (1996)
Acta Arithmetica
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Robin Chapman (2000)
Acta Arithmetica
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We define a class of generalized Dedekind sums and prove a family of reciprocity laws for them. These sums and laws generalize those of Zagier [6]. The method is based on that of Solomon [5].
Stephen Cohen (2000)
Acta Arithmetica
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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.
M. Adams, Wiesław Dziobiak, Matthew Gould, Jürg Schmid (1995)
Fundamenta Mathematicae
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Two properties of the lattice of quasivarieties of pseudocomplemented semilattices are established, namely, in the quasivariety generated by the 3-element chain, there is a sublattice freely generated by ω elements and there are quasivarieties.
Shin-Ichi Yasutomi (1998)
Acta Arithmetica
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Dae San Kim, In-Sok Lee (1996)
Acta Arithmetica
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Benedek Valkó (2000)
Acta Arithmetica
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