Weyl almost periodic selections of supports of measure-valued functions.
Danilov, L.I. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Danilov, L.I. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Victor Abrashkin (2010)
Journal de Théorie des Nombres de Bordeaux
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A local analogue of the Grothendieck Conjecture is an equivalence between the category of complete discrete valuation fields with finite residue fields of characteristic and the category of absolute Galois groups of fields together with their ramification filtrations. The case of characteristic 0 fields was studied by Mochizuki several years ago. Then the author of this paper proved it by a different method in the case (but with no restrictions on the characteristic of )....
Wayne McDaniel (1993)
Colloquium Mathematicae
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Antone Costa (1992)
Acta Arithmetica
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Lomadze, G. (2001)
Georgian Mathematical Journal
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Badeev, A.V. (2000)
Siberian Mathematical Journal
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Veretennikov, B.M. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Nurakunov, A.M. (2001)
Siberian Mathematical Journal
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Nikonorov, Yu.G. (2000)
Siberian Mathematical Journal
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Fethi Ben Saïd, Jean-Louis Nicolas, Ahlem Zekraoui (2010)
Journal de Théorie des Nombres de Bordeaux
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Improving on some results of J.-L. Nicolas [], the elements of the set , for which the partition function (i.e. the number of partitions of with parts in ) is even for all are determined. An asymptotic estimate to the counting function of this set is also given.
J. Browkin, A. Schinzel (1995)
Colloquium Mathematicae
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W. Sierpiński asked in 1959 (see [4], pp. 200-201, cf. [2]) whether there exist infinitely many positive integers not of the form n - φ(n), where φ is the Euler function. We answer this question in the affirmative by proving Theorem. None of the numbers (k = 1, 2,...) is of the form n - φ(n).