Kloosterman-type sums and the discrepancy of nonoverlapping pairs of inversive congruential pseudorandom numbers
Jürgen Eichenauer-Herrmann, Harald Niederreiter (1993)
Acta Arithmetica
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Jürgen Eichenauer-Herrmann, Harald Niederreiter (1993)
Acta Arithmetica
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Norbert Hegyvári (1995)
Acta Arithmetica
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Hisato Muraki (1999)
Fundamenta Mathematicae
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Under ZFC+CH, we prove that some lattices whose cardinalities do not exceed can be embedded in some local structures of Kleene degrees.
Miroslav Repický (1994)
Fundamenta Mathematicae
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[1] T. Bartoszyński, Additivity of measure implies additivity of category, Trans. Amer. Math. Soc. 281 (1984), 209-213. [2] T. Bartoszyński and H. Judah, Measure and Category, in preparation. [3] D. H. Fremlin, Cichoń’s diagram, Publ. Math. Univ. Pierre Marie Curie 66, Sém. Initiation Anal., 1983/84, Exp. 5, 13 pp. [4] M. Goldstern, Tools for your forcing construction, in: Set Theory of the Reals, Conference of Bar-Ilan University, H. Judah (ed.), Israel Math. Conf. Proc. 6, 1992, 307-362....
James G. Huard, Kenneth S. Williams, Zhang Nan-Yue (1996)
Acta Arithmetica
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Teturo Kamae, Jun-ichi Tamura, Zhi-Ying Wen (1999)
Acta Arithmetica
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R. R. Hall (1994)
Acta Arithmetica
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Jose Barrionuevo, Robert M. Burton, Karma Dajani, Cor Kraaikamp (1996)
Acta Arithmetica
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Lutz Lucht (1995)
Acta Arithmetica
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Vsevolod F. Lev, Pavel Y. Smeliansky (1995)
Acta Arithmetica
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What is the structure of a pair of finite integers sets A,B ⊂ ℤ with the small value of |A+B|? We answer this question for addition coefficient 3. The obtained theorem sharpens the corresponding results of G. Freiman.