Suchergebnisse - Number theory Additive number theory; partitions~

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    Revisiting Kneser’s Theorem for Field Extensions von Bachoc, Christine, Serra, Oriol, Zémor, Gilles

    ISSN: 0209-9683, 1439-6912
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2018
    Veröffentlicht in 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, …”
    Volltext
    Journal Article Verlag
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    Integer partitions detect the primes von Craig, William, van Ittersum, Jan-Willem, Ono, Ken

    ISSN: 1091-6490, 1091-6490
    Veröffentlicht: United States 24.09.2024
    “… We show that integer partitions, the fundamental building blocks in additive number theory, detect prime numbers in an unexpected way …”
    Weitere Angaben
    Journal Article
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    Computing denumerants in numerical 3-semigroups von Aguiló-Gost, F., Llena, D.

    ISSN: 1607-3606, 1727-933X
    Veröffentlicht: Grahamstown Taylor & Francis 17.11.2018
    Veröffentlicht in 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 …”
    Volltext
    Journal Article Verlag
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    Studies in Additive Number Theory by Circles of Partition von Agama, Theophilus, Berndt Gensel

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 04.07.2023
    Veröffentlicht in 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 …”
    Volltext
    Paper
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    Combinatorial Number Theory: Proceedings of the "Integers Conference 2011", Carrollton, Georgia, USA, October 26-29, 2011 von Integers Conference (2011 : Carrollton, Georgia, USA), Landman, Bruce, Nathanson, Melvyn Bernard, Nowakowski, Richard J., Nešetřil, Jaroslav, Pomerance, Carl, Robertson, Aaron

    ISBN: 9783110280616, 3110280612, 3110280485, 9783110280487
    Veröffentlicht: 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 …”
    Volltext
    E-Book Buch
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    Partition Problems in Additive Number Theory von Bollobás, Béla, Jin, Guoping

    ISSN: 0022-314X, 1096-1658
    Veröffentlicht: Elsevier Inc 01.01.1996
    Veröffentlicht in Journal of number theory (01.01.1996)
    Volltext
    Journal Article
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    The partition function p(n) in terms of the classical Möbius function von Merca, Mircea, Schmidt, Maxie D.

    ISSN: 1382-4090, 1572-9303
    Veröffentlicht: New York Springer US 15.05.2019
    Veröffentlicht in 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 …”
    Volltext
    Journal Article
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    A Partition Identity Related to Stanley's Theorem von Merca, Mircea, Schmidt, Maxie D.

    ISSN: 0002-9890, 1930-0972
    Veröffentlicht: Washington Taylor & Francis 26.11.2018
    Veröffentlicht in The American mathematical monthly (26.11.2018)
    “… from multiplicative number theory to the additive theory of partitions …”
    Volltext
    Journal Article
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    Additive evaluations of the number of divisors von Merca, Mircea

    ISSN: 1382-4090, 1572-9303
    Veröffentlicht: New York Springer US 01.03.2024
    Veröffentlicht in 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 …”
    Volltext
    Journal Article
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    A brief history of partitions of numbers, partition functions and their modern applications von Debnath, Lokenath

    ISSN: 0020-739X, 1464-5211
    Veröffentlicht: London Taylor & Francis 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 …”
    Volltext
    Journal Article
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    New Connections Between Functions from Additive and Multiplicative Number Theory von Merca, Mircea

    ISSN: 1660-5446, 1660-5454
    Veröffentlicht: Cham Springer International Publishing 01.04.2018
    Veröffentlicht in 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 …”
    Volltext
    Journal Article
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    Partitions of the set of nonnegative integers with the same representation functions von Kiss, Sándor Z., Sándor, Csaba

    ISSN: 0012-365X, 1872-681X
    Veröffentlicht: Elsevier B.V 01.06.2017
    Veröffentlicht in 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 …”
    Volltext
    Journal Article
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    Bent Partitions and LP-Packings von Alkan, Sezel, Anbar, Nurdagul, Kalayci, Tekgul, Meidl, Wilfried

    ISSN: 0018-9448, 1557-9654
    Veröffentlicht: New York IEEE 01.07.2024
    Veröffentlicht in 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 …”
    Volltext
    Journal Article
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    The complexity of subcube partition relates to the additive structure of the support von Hegyvári, Norbert

    ISSN: 0890-5401, 1090-2651
    Veröffentlicht: Elsevier Inc 01.08.2024
    Veröffentlicht in 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 …”
    Volltext
    Journal Article
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    On Integer Partitions Corresponding to Numerical Semigroups von Burson, Hannah E., Nam, Hayan, Sisneros-Thiry, Simone

    ISSN: 1422-6383, 1420-9012
    Veröffentlicht: Cham Springer International Publishing 01.10.2023
    Veröffentlicht in 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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    Journal Article
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    An elementary proof of a theorem of Hardy and Ramanujan von Cohen Antonir, Asaf, Shapira, Asaf

    ISSN: 1382-4090, 1572-9303
    Veröffentlicht: New York Springer US 01.05.2024
    Veröffentlicht in 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 …”
    Volltext
    Journal Article
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    Combinatorial number theory : proceedings of the 'Integers Conference 2007', Carrollton, Georgia, USA, October 24-27, 2007 von Landman, Bruce, Nathanson, Melvyn Bernard, Nowakowski, Richard J., Nešetřil, Jaroslav, Pomerance, Carl, Robertson, Aaron

    ISBN: 3110202212, 9783110202212, 9783110208504, 3110208504
    Veröffentlicht: 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 …”
    Volltext
    E-Book Buch
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    A Partition Identity Related to Stanley's Theorem von Merca, Mircea, Schmidt, Maxie D

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 20.10.2023
    Veröffentlicht in 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 …”
    Volltext
    Paper