Completeness conditions in certain Weyl complexes, combinatorics and parsimony.
Sano, Mari (2005)
Boletín de la Asociación Matemática Venezolana
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Sano, Mari (2005)
Boletín de la Asociación Matemática Venezolana
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Belonogov, V.A. (2008)
Sibirskij Matematicheskij Zhurnal
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Florek, W., Lulek, T. (1991)
Séminaire Lotharingien de Combinatoire [electronic only]
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Tomasz Schoen (2000)
Acta Arithmetica
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Ulrike M. A. Vorhauer, Eduard Wirsing (1999)
Acta Arithmetica
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1. Summary. In a sequence of three papers we study the circle problem and its generalization involving the logarithmic mean. Most of the deeper results in this area depend on estimates of exponential sums. For the circle problem itself Chen has carried out such estimates using three two-dimensional Weyl steps with complicated techniques. We make the same Weyl steps but our approach is simpler and clearer. Crucial is a good understanding of the Hessian determinant that appears...
Winkel, Rudolf (1996)
Séminaire Lotharingien de Combinatoire [electronic only]
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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.
Leeb, Klaus, Pirillo, Giuseppe (1984)
Séminaire Lotharingien de Combinatoire [electronic only]
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Ian Kiming (1997)
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].
R. R. Hall (1994)
Acta Arithmetica
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Hourong Qin (1995)
Acta Arithmetica
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