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检索条件"主题词=Linear forms in logarithms"
145 条 记 录,以下是11-20 订阅
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On sums of two Fibonacci numbers that are powers of numbers with limited hamming weight
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QUAESTIONES MATHEMATICAE 2024年 第4期47卷 851-869页
作者: Vukusic, Ingrid Ziegler, Volker Univ Salzburg Hellbrunnerstr 34-I A-5020 Salzburg Austria
In 2018, Luca and Patel conjectured that the largest perfect power representable as the sum of two Fibonacci numbers is 3864(2) = F-36 + F-12. In other words, they conjectured that the equation (*) y(a) = F-n + F(m)ha... 详细信息
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On multiplicative dependent vectors with coordinates from certain higher order recurrences
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INTERNATIONAL JOURNAL OF NUMBER THEORY 2024年 第10期20卷 2491-2507页
作者: Behera, Mitashree Ray, Prasanta Kumar Sambalpur Univ Dept Math Sambalpur Orissa India
In this paper, we prove that there are finitely many multiplicative dependent vectors with coordinates from non-degenerate linear recurrence sequences {u(n)}(n >= 1-s) of a fixed order s >= 2. These sequences sa... 详细信息
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On quotients of derivatives of L-functions inside the critical strip
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JOURNAL OF NUMBER THEORY 2024年 259卷 16-37页
作者: Lunia, Rashi A CI Homi Bhabha Natl Inst Inst Math Sci CIT Campus Chennai 600113 India
In [9], Gun, Murty and Rath studied non -vanishing and transcendental nature of special values of a varying class of L -functions and their derivatives. This led to a number of works by several authors in different se... 详细信息
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On the resolution of the Diophantine equation U n + U m = x q
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RAMANUJAN JOURNAL 2025年 第2期66卷 1-23页
作者: Bhoi, P. K. Rout, S. S. Panda, G. K. Natl Inst Technol Dept Math Rourkela 769008 India Natl Inst Technol Dept Math Kozhikode 673601 India
Suppose that ( U- n ) n >= 0 is a binary recurrence sequence and has a dominant root alpha with alpha > 1 and the discriminant D is square-free. In this paper, we study the Diophantine equation U- n + U- m = x (... 详细信息
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Pell and Pell-Lucas numbers which are concatenations of three repdigits
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INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 2024年 1-16页
作者: Erduvan, Fatih Duman, Merve Guney Izmit Namik Kemal High Sch MEB Kocaeli Turkiye Sakarya Univ Appl Sci Dept Fundamental Sci Engn Sakarya Turkiye
In this study, we focus on finding the Pell and Pell-Lucas numbers which are concatenations of three repdigits. We show that these numbers are 169, 408, 985 and 198, 478, 1154, respectively. We use a lemma that provid... 详细信息
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Padovan numbers that are concatenations of a Padovan number and a Perrin number
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PERIODICA MATHEMATICA HUNGARICA 2024年 第1期89卷 139-154页
作者: Duman, Merve Guney Sakarya Univ Appl Sci Fac Technol Fundamental Sci Engn Sakarya Turkiye
In this paper, we determine all Padovan numbers which can be written as concatenations of a Padovan number and a Perrin number. We find that all positive integer solutions to the Diophantine equation Pn=10dPm+Rk\docum... 详细信息
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On the transcendence of power towers of Liouville numbers
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INDAGATIONES MATHEMATICAE-NEW SERIES 2024年 第2期35卷 230-239页
作者: Marques, Diego Oliveira, Marcelo Trojovsky, Pavel Univ Brasilia Dept Matemat Brasilia DF Brazil Univ Fed Maranhao Ctr Ciencias Sao Bernardo Sao Luis Brazil Univ Hradec Kralove Fac Sci Hradec Kralove Czech Republic
In this paper, among other things, we explicit a G delta -dense set of Liouville numbers, for which the triple power tower of any of its elements is a transcendental number. (c) 2023 Royal Dutch Mathematical Society (... 详细信息
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On Padovan or Perrin numbers as products of three repdigits in base δ
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INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 2024年 1-20页
作者: Tiebekabe, Pagdame Adedji, Kouessi Norbert Univ Cheikh Anta Diop UCAD Lab Algebre Cryptol Geometrie Algebr & Applicat LA BP 5005 Dakar Senegal Univ Kara Fac Sci & Tech FST Dept Math BP 404 Kara Togo Univ Abomey Calavi Inst Math & Sci Phys BP 613 Porto Novo Benin
Let P(m )and E-m be them m-th Padovan and Perrin numbers, respectively. In this paper, we prove that for a fixed integer delta with delta >= 2 there exists finitely many Padovan and Perrin numbers that can be repre... 详细信息
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On an extension of a question of Baker
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INTERNATIONAL JOURNAL OF NUMBER THEORY 2023年 第2期19卷 375-388页
作者: Gun, Sanoli Kandhil, Neelam Homi Bhabha Natl Inst Inst Math Sci Chennai 600113 Tamil Nadu India
It is an open question of Baker whether the numbers L(1, chi) for nontrivial Dirichlet characters x with period q are linearly independent over Q. The best known result is due to Baker, Birch and Wirsing which affirms... 详细信息
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Padovan numbers as difference of two repdigits
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INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 2023年 1-9页
作者: Duman, Merve Guney Sakarya Univ Appl Sci Fac Technol Fundamental Sci Engn Sakarya Turkiye
In this paper, we find all Padovan numbers which can be written as are difference of two repdigits. It is shown that all Padovan numbers which can be written as a difference of two repdigits are P-k is an element of {... 详细信息
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