Výsledky vyhledávání - Number theory Additive number theory; partitions
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Modern trends in constructive function theory : Constructive Functions 2014, conference in honor of Ed Saff's 70th birthday, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee
ISBN: 1470425343, 9781470425340Vydáno: Providence, R. I American Mathematical Society 2016Získat plný text
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Ramanujan 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5-7, 2012, University of Florida, Gainesville, Florida
ISBN: 9781470410780, 1470410788Vydáno: Providence, R.I American Mathematical Society 2014Získat plný text
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Revisiting Kneser’s Theorem for Field Extensions
ISSN: 0209-9683, 1439-6912Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2018Vydáno v Combinatorica (Budapest. 1981) (01.08.2018)“…A Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions. This theorem was known to be valid only in separable extensions,…”
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Integer partitions detect the primes
ISSN: 1091-6490, 1091-6490Vydáno: United States 24.09.2024Vydáno v Proceedings of the National Academy of Sciences - PNAS (24.09.2024)“…We show that integer partitions, the fundamental building blocks in additive number theory, detect prime numbers in an unexpected way…”
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Computing denumerants in numerical 3-semigroups
ISSN: 1607-3606, 1727-933XVydáno: Grahamstown Taylor & Francis 17.11.2018Vydáno v Quaestiones mathematicae (17.11.2018)“… is the number of non-negative integer solutions of certain linear non-negative Diophantine equation which constant term is equal…”
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Studies in Additive Number Theory by Circles of Partition
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 04.07.2023Vydáno v arXiv.org (04.07.2023)“… In particular, our method allows us to partition any sufficiently large number \(n\in\mathbb{N}\) into any set \(\mathbb{H}\) with natural density greater…”
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Combinatorial Number Theory: Proceedings of the "Integers Conference 2011", Carrollton, Georgia, USA, October 26-29, 2011
ISBN: 9783110280616, 3110280612, 3110280485, 9783110280487Vydáno: Germany De Gruyter 2013“… They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative…”
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Partition Problems in Additive Number Theory
ISSN: 0022-314X, 1096-1658Vydáno: Elsevier Inc 01.01.1996Vydáno v Journal of number theory (01.01.1996)Získat plný text
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The partition function p(n) in terms of the classical Möbius function
ISSN: 1382-4090, 1572-9303Vydáno: New York Springer US 15.05.2019Vydáno v The Ramanujan journal (15.05.2019)“…In this paper, we investigate decompositions of the partition function p ( n ) from the additive theory of partitions considering the famous Möbius function μ ( n…”
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A Partition Identity Related to Stanley's Theorem
ISSN: 0002-9890, 1930-0972Vydáno: Washington Taylor & Francis 26.11.2018Vydáno v The American mathematical monthly (26.11.2018)“… from multiplicative number theory to the additive theory of partitions…”
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Additive evaluations of the number of divisors
ISSN: 1382-4090, 1572-9303Vydáno: New York Springer US 01.03.2024Vydáno v The Ramanujan journal (01.03.2024)“…If m and n are positive integers, then a m ( n ) denotes the number of the parts congruent to 0 modulo m in all the partitions of n…”
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A brief history of partitions of numbers, partition functions and their modern applications
ISSN: 0020-739X, 1464-5211Vydáno: London Taylor & Francis 02.04.2016Vydáno v International journal of mathematical education in science and technology (02.04.2016)“… Included are Euclid's and Pythagorean's main contributions to elementary number theory with the main contents of the Euclid Elements of the 13-volume…”
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New Connections Between Functions from Additive and Multiplicative Number Theory
ISSN: 1660-5446, 1660-5454Vydáno: Cham Springer International Publishing 01.04.2018Vydáno v Mediterranean journal of mathematics (01.04.2018)“…In this paper, we investigate new connections between the seemingly disparate branches of the additive and multiplicative number theory…”
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Partitions of the set of nonnegative integers with the same representation functions
ISSN: 0012-365X, 1872-681XVydáno: Elsevier B.V 01.06.2017Vydáno v Discrete mathematics (01.06.2017)“… from S. In this paper we focus on partitions of the natural numbers into two sets affording identical representation functions…”
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Bent Partitions and LP-Packings
ISSN: 0018-9448, 1557-9654Vydáno: New York IEEE 01.07.2024Vydáno v IEEE transactions on information theory (01.07.2024)“… A large number of bent partitions, so-called generalized semifield spreads, can be obtained from semifields with certain properties…”
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The complexity of subcube partition relates to the additive structure of the support
ISSN: 0890-5401, 1090-2651Vydáno: Elsevier Inc 01.08.2024Vydáno v Information and computation (01.08.2024)“…). The complexity of it denotes by HSCP(f) is the minimum number of subcubes in a subcube partition which computes the Boolean function f…”
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On Integer Partitions Corresponding to Numerical Semigroups
ISSN: 1422-6383, 1420-9012Vydáno: Cham Springer International Publishing 01.10.2023Vydáno v Resultate der Mathematik (01.10.2023)“…Numerical semigroups are cofinite additive submonoids of the natural numbers. Keith and Nath illustrated an injection from numerical semigroups to integer partitions…”
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An elementary proof of a theorem of Hardy and Ramanujan
ISSN: 1382-4090, 1572-9303Vydáno: New York Springer US 01.05.2024Vydáno v The Ramanujan journal (01.05.2024)“…Let Q ( n ) denote the number of integers 1 ≤ q ≤ n whose prime factorization q = ∏ i = 1 t p i a i satisfies a 1 ≥ a 2…”
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Combinatorial number theory : proceedings of the 'Integers Conference 2007', Carrollton, Georgia, USA, October 24-27, 2007
ISBN: 3110202212, 9783110202212, 9783110208504, 3110208504Vydáno: Berlin Walter de Gruyter 2009“… Among the topics considered in these papers are additive number theory, multiplicative number theory, sequences, elementary number theory, theory of partitions…”
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A Partition Identity Related to Stanley's Theorem
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 20.10.2023Vydáno v arXiv.org (20.10.2023)“… These surprising new results connect the famous classical totient function from multiplicative number theory to the additive theory of partitions…”
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