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检索条件"主题词=Linear forms in logarithms"
145 条 记 录,以下是31-40 订阅
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On the Diophantine equations of the form λ1Un1 + λ2Un2 + ••• plus λkUnk = wp1z1 p2z2 ••• pszs
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BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 2024年 第3期30卷 1-18页
作者: Goedhart, Eva Ha, Brian McBeath, Lily Velasco, Luisa Bryn Mawr Coll Dept Math Bryn Mawr PA 19010 USA Univ Colorado Boulder Dept Appl Math 1111 Engn CtrECOT 225 Boulder CO 80309 USA Dartmouth Coll Dept Math 27 N Main St Hanover NH 03755 USA Univ Texas Austin Dept Math 2515 Speedway Austin TX 78712 USA
In this paper, we consider the Diophantine equation lambda U-1(n1) + center dot center dot center dot + lambda U-k(nk) = wp(1)(z1) ... p(s)(zs), where {U-n}(n >= 0) is a fixed non-degenerate linear recurrence seque... 详细信息
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On Fibonacci numbers as sum of powers of two consecutive Tribonacci numbers
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REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 2022年 第3期116卷 1-16页
作者: Kreutz, Alessandra Marques, Diego Trojovsky, Pavel Inst Fed Brasilia BR-72146050 Brasilia DF Brazil Univ Brasilia Dept Matemat BR-70910900 Brasilia DF Brazil Univ Hradec Kralove Fac Sci Dept Math Hradec Kralove 50003 Czech Republic
For k >= 2, the sequence (F-n((k)))(n >=-(k-2)) of k-generalized Fibonacci numbers is defined by the initial values 0, ..., 0, 1 = F-1((k)) and such that each term afterwards is the sum of the k preceding ones. ... 详细信息
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On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers
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REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 2022年 第3期116卷 1-36页
作者: Garcia, Jonathan Gomez, Carlos A. Univ Valle Dept Matemat Calle 13 100-00 Cali 25360 Colombia
The k-generalized Pell sequence P-(k) := (P-n((k)))(n >= -(k-2)) is the linear recurrence sequence of order k, whose first k terms are 0, ..., 0, 1 and satisfies the relation P-n((k)) = 2P(n-1)((k)) + 2P(n-2)((k)) ... 详细信息
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Balancing and Lucas-balancing numbers which are concatenation of three repdigits
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BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 2023年 第3期29卷 1-20页
作者: Rayaguru, S. G. Bravo, Jhon J. Siksha O Anusandhan Ctr Data Sci Bhubaneswar 751030 Odisha India Univ Cauca Dept Matemat Calle 5 4-70 Popayan Colombia
In this paper, we show that 204 and 1189 are the only balancing numbers which are concatenation of three repdigits and that 3363 is the only Lucas-balancing number of this form.
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Multiplicative dependence between Padovan and Perrin numbers
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BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 2023年 第2期29卷 1-12页
作者: Behera, Mitashree Ray, Prasanta Kumar Sambalpur Univ Sambalpur India
Padovan and Perrin sequences are ternary recurrent sequences that satisfy the same relation w(n) = w(n-2 )+ w(n-3) with different initial conditions (w(0), w(1), w(2)) = (1, 1, 1) and (3, 0, 2), respectively. In this ... 详细信息
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Products of three Fibonacci numbers that are repdigits
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL
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ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL 2023年 第4期16卷 57-66页
作者: Alan, Murat Alan, Kadriye Simsek Yildiz Tech Univ Dept Math Istanbul Turkiye Yildiz Tech Univ Dept Math Engn Istanbul Turkiye
Let (F-n)(n >= 0) be a Fibonacci sequence. A non-negative integer whose digits are all equal is called a repdigit and any non-zero repdigit is of the form a (10(d) -1/9) where 1 <= a <= 9 and 1 <= d. In th... 详细信息
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A note on Dedekind zeta values at 1/2
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INTERNATIONAL JOURNAL OF NUMBER THEORY 2022年 第6期18卷 1289-1299页
作者: Kandhil, Neelam Homi Bhabha Natl Inst Inst Math Sci Chennai 600113 Tamil Nadu India
For a number field K, let zeta(K) (s) be the Dedekind zeta function associated to K. In this paper, we study non-vanishing and transcendence of zeta(K) as well as its derivative CK at s = 1/2. En route, we strengthen ... 详细信息
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Sums of Fibonacci numbers close to a power of 2
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BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 2023年 第1期29卷 1-11页
作者: Hasanalizade, Elchin Univ Lethbridge Dept Math & Comp Sci 4401 Univ Dr Lethbridge AB T1K 3M4 Canada
In this paper, we find all sums of two Fibonacci numbers which are close to a power of 2. As a corollary, we also determine all Lucas numbers close to a power of 2. The main tools used in this work are lower bounds fo... 详细信息
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Fibonacci and Lucas numbers as products of three repdgits in base g
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RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO 2023年 第8期72卷 4003-4021页
作者: Adedji, Kouessi Norbert Filipin, Alan Togbe, Alain Univ Abomey Calavi Inst Math & Sci Phys Abomey Calavi Benin Univ Zagreb Fac Civil Engn Fra Andrije Kacica Miosica 26 Zagreb 10000 Croatia Purdue Univ Northwest Dept Math & Stat 2200 169th St Hammond IN 46323 USA
Recall that a repdigit in base g is a positive integer that has only one digit in its base g expansion;i.e., a number of the form a(g(m) - 1)/(g - 1), for some positive integers m= 1, g = 2 and 1 = a = g-1. In the pre... 详细信息
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The extension of the D(-k)-pair {k, k+1) to a quadruple
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PERIODICA MATHEMATICA HUNGARICA 2022年 第1期85卷 148-163页
作者: Adzaga, Nikola Filipin, Alan Fujita, Yasutsugu Univ Zagreb Fac Civil Engn Fra Andrije Kacica Miosica 26 Zagreb 10000 Croatia Nihon Univ Coll Ind Technol Dept Math 2-11-1 Shin Ei Narashino Chiba Japan
Let n not equal 0 be an integer. A set of m distinct positive integers {a(1), a(2), ..., a(m)} is called a D(n)-m-tuple if a(i)a(j) +n is a perfect square for all 1 1, then d = 1. The proof relies not only on standar... 详细信息
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