Results 1 to 10 of about 7,079,281 (119)
A Function in the Number Theory [PDF]
SSRN Electronic Journal, 2016 In this paper I shall construct a function n having the following properties.
Florentin Smarandache +1 more
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Algorithms in algebraic number theory [PDF]
, 1992 In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues are largely disregarded. We describe what has been done and,
Lenstra Jr., Hendrik W.
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Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory [PDF]
, 2017 The goal of this present manuscript is to introduce the reader to the nonstandard method and to provide an overview of its most prominent applications in Ramsey theory and combinatorial number theory.Comment: 126 pages.
Di Nasso, Mauro +2 more
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A cell complex in number theory [PDF]
, 2011 Let De_n be the simplicial complex of squarefree positive integers less than or equal to n ordered by divisibility. It is known that the asymptotic rate of growth of its Euler characteristic (the Mertens function) is closely related to deep properties of
Anders Björner +7 more
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Theory of Analogous Force on Number Sets [PDF]
, 2003 A general statistical thermodynamic theory that considers given sequences of x-integers to play the role of particles of known type in an isolated elastic system is proposed.
Adhikari +17 more
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Journal of Formalized Reasoning, 2008 We discuss the formalization, in the Matita Interactive Theorem Prover, of a few elementary results in number theory about the Moebius mu function and the Euler phi function.
ASPERTI, ANDREA, C. Armentano
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Duality, Partial Supersymmetry, and Arithmetic Number Theory [PDF]
, 1997 We find examples of duality among quantum theories that are related to arithmetic functions by identifying distinct Hamiltonians that have identical partition functions at suitably related coupling constants or temperatures.
Spector, Donald
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Apollonian circle packings: Dynamics and Number theory [PDF]
, 2014 We give an overview of various counting problems for Apollonian circle packings, which turn out to be related to problems in dynamics and number theory for thin groups.
Oh, Hee
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A nonstandard technique in combinatorial number theory [PDF]
, 2014 In [9], [15] it has been introduced a technique, based on nonstandard analysis, to study some problems in combinatorial number theory. In this paper we present three applications of this technique: the first one is a new proof of a known result regarding
Baglini, Lorenzo Luperi
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