Výsledky vyhľadávania - 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
    Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2018
    Vydané 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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    Journal Article Publikácia
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    Computing denumerants in numerical 3-semigroups Autor Aguiló-Gost, F., Llena, D.

    ISSN: 1607-3606, 1727-933X
    Vydavateľské údaje: Grahamstown Taylor & Francis 17.11.2018
    Vydané 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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    Journal Article Publikácia
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    Integer partitions detect the primes Autor Craig, William, van Ittersum, Jan-Willem, Ono, Ken

    ISSN: 1091-6490, 1091-6490
    Vydavateľské údaje: 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…”
    Zistit podrobnosti o prístupe
    Journal Article
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    Studies in Additive Number Theory by Circles of Partition Autor Agama, Theophilus, Berndt Gensel

    ISSN: 2331-8422
    Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 04.07.2023
    Vydané v arXiv.org (04.07.2023)
    “… We provide applications in the context of problems relating to deciding on the feasibility of partitioning numbers into certain class of integers…”
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    Paper
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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
    Vydavateľské údaje: 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
    Vydavateľské údaje: Elsevier Inc 01.01.1996
    Vydané v Journal of number theory (01.01.1996)
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    Journal Article
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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
    Vydavateľské údaje: 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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    A NOTE ON A CLASSICAL CONNECTION BETWEEN PARTITIONS AND DIVISORS Autor Mercat, M.

    ISSN: 2066-5997, 2066-6594
    Vydavateľské údaje: 2023
    “…) from additive number theory are introduced in this context. The fascinating feature of these relations is their common nature…”
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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
    Vydavateľské údaje: New York Springer US 15.05.2019
    Vydané 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
    Vydavateľské údaje: Washington Taylor & Francis 26.11.2018
    Vydané v The American mathematical monthly (26.11.2018)
    “… from multiplicative number theory to the additive theory of partitions…”
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    Journal Article
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    A Partition Identity Related to Stanley's Theorem Autor Merca, Mircea, Schmidt, Maxie D

    ISSN: 2331-8422
    Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 20.10.2023
    Vydané 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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    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
    Vydavateľské údaje: 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…”
    Získať plný text
    E-kniha Kniha
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    Mathematical modeling using partition theory and data compression Autor Newton, D.C.

    ISBN: 0780332687, 9780780332683
    ISSN: 1087-8785
    Vydavateľské údaje: IEEE 1996
    “… The central tenet of this method and model suggests a strong connection between additive number theory (partitions…”
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    Konferenčný príspevok..
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    Integer partitions detect the primes Autor Craig, William, Jan-Willem van Ittersum, Ono, Ken

    ISSN: 2331-8422
    Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 10.07.2024
    Vydané v arXiv.org (10.07.2024)
    “…We show that integer partitions, the fundamental building blocks in additive number theory, detect prime numbers in an unexpected way…”
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    Paper
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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
    Vydavateľské údaje: Cham Springer International Publishing 01.10.2023
    Vydané 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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    Journal Article
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    An extension of the Erdős–Ginzburg–Ziv Theorem to hypergraphs Autor Grynkiewicz, David J.

    ISSN: 0195-6698, 1095-9971
    Vydavateľské údaje: Elsevier Ltd 01.11.2005
    Vydané v European journal of combinatorics (01.11.2005)
    “… | denotes the length of S , and S ∖ S ′ denotes the subsequence of S obtained by deleting all terms in S ′ . We first prove the following two additive number theory results. (1…”
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    The partition function \(p(n)\) in terms of the classical Möbius function Autor Merca, Mircea, Schmidt, Maxie D

    ISSN: 2331-8422
    Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 20.10.2023
    Vydané v arXiv.org (20.10.2023)
    “…In this paper, we investigate decompositions of the partition function \(p(n)\) from the additive theory of partitions considering the famous M\"{o}bius function \(\mu(n…”
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    Paper
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    Quasi-linear relation between partition and analytic rank Autor Moshkovitz, Guy, Zhu, Daniel G

    ISSN: 2331-8422
    Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 01.11.2024
    Vydané v arXiv.org (01.11.2024)
    “…An important conjecture in additive combinatorics, number theory, and algebraic geometry posits that the partition rank and analytic rank of tensors are equal up to a constant, over any finite field…”
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