Výsledky vyhledávání - Number theory Additive number theory; partitions

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

    ISSN: 0209-9683, 1439-6912
    Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2018
    Vydáno 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 Autor Craig, William, van Ittersum, Jan-Willem, Ono, Ken

    ISSN: 1091-6490, 1091-6490
    Vydáno: 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…”
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    Computing denumerants in numerical 3-semigroups Autor Aguiló-Gost, F., Llena, D.

    ISSN: 1607-3606, 1727-933X
    Vydáno: Grahamstown Taylor & Francis 17.11.2018
    Vydáno 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 Autor Agama, Theophilus, Berndt Gensel

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 04.07.2023
    Vydáno 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 Autor 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
    Vydáno: 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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    E-kniha Kniha
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    Partition Problems in Additive Number Theory Autor Bollobás, Béla, Jin, Guoping

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

    ISSN: 1382-4090, 1572-9303
    Vydáno: New York Springer US 15.05.2019
    Vydáno 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 Autor Merca, Mircea, Schmidt, Maxie D.

    ISSN: 0002-9890, 1930-0972
    Vydáno: Washington Taylor & Francis 26.11.2018
    Vydáno 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 Autor Merca, Mircea

    ISSN: 1382-4090, 1572-9303
    Vydáno: New York Springer US 01.03.2024
    Vydáno 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 Autor Debnath, Lokenath

    ISSN: 0020-739X, 1464-5211
    Vydáno: 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…”
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    New Connections Between Functions from Additive and Multiplicative Number Theory Autor Merca, Mircea

    ISSN: 1660-5446, 1660-5454
    Vydáno: Cham Springer International Publishing 01.04.2018
    Vydáno 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 Autor Kiss, Sándor Z., Sándor, Csaba

    ISSN: 0012-365X, 1872-681X
    Vydáno: Elsevier B.V 01.06.2017
    Vydáno 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 Autor Alkan, Sezel, Anbar, Nurdagul, Kalayci, Tekgul, Meidl, Wilfried

    ISSN: 0018-9448, 1557-9654
    Vydáno: New York IEEE 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 Autor Hegyvári, Norbert

    ISSN: 0890-5401, 1090-2651
    Vydáno: Elsevier Inc 01.08.2024
    Vydáno 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 Autor Burson, Hannah E., Nam, Hayan, Sisneros-Thiry, Simone

    ISSN: 1422-6383, 1420-9012
    Vydáno: Cham Springer International Publishing 01.10.2023
    Vydáno 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 Autor Cohen Antonir, Asaf, Shapira, Asaf

    ISSN: 1382-4090, 1572-9303
    Vydáno: New York Springer US 01.05.2024
    Vydáno 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 Autor Landman, Bruce, Nathanson, Melvyn Bernard, Nowakowski, Richard J., Nešetřil, Jaroslav, Pomerance, Carl, Robertson, Aaron

    ISBN: 3110202212, 9783110202212, 9783110208504, 3110208504
    Vydáno: 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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    E-kniha Kniha
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    A Partition Identity Related to Stanley's Theorem Autor Merca, Mircea, Schmidt, Maxie D

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 20.10.2023
    Vydáno 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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