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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 the exponential Diophantine equation Pm2
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ASIAN-EUROPEAN JOURNAL OF MATHEMATICS 2025年 第4期18卷
作者: Emin, Ahmet Ates, Firat Karabuk Univ Dept Math TR-78000 Karabuk Turkiye Balikesir Univ Dept Math TR-10145 Balikesir Turkiye
This study investigates numbers that are powers of two and can be expressed as the sum of the squares of any two Pell numbers. We apply Baker's theory of linear forms in logarithms of algebraic numbers, along with... 详细信息
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Multiplicative independence in the sequence of k-generalized Lucas numbers
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INDAGATIONES MATHEMATICAE-NEW SERIES 2025年 第3期36卷 819-837页
作者: Batte, Herbert Ddamulira, Mahadi Kasozi, Juma Luca, Florian Makerere Univ Coll Nat Sci Sch Phys Sci Dept Math Kampala Uganda Stellenbosch Univ Math Div Stellenbosch South Africa
Let (L-n((k)))(n >= 2-k) be the sequence of k-generalized Lucas numbers for some fixed integer k >= 2, whose first k terms are 0,& mldr;,0,2,1 and each term afterward is the sum of the preceding k terms. In ... 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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Repdigits as products of two Fibonacci or Lucas numbers
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PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES 2020年 第1期130卷 1-14页
作者: Erduvan, Fatih Keskin, Refik Sakarya Univ Dept Math Sakarya Turkey
In this study, we show that if 2 < m < n and Fm Fn represents a repdigit, then (m, n) belongs to the set {(2, 2), (2, 3), (3, 3), (2, 4), (3, 4), (4, 4), (2, 5), (2, 6), (2, 10)}. Also, we show that if 0 < m ... 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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On a problem of Pillai with Fibonacci numbers and powers of 2
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PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES 2017年 第3期127卷 411-421页
作者: Ddamulira, Mahadi Luca, Florian Rakotomalala, Mihaja Graz Univ Technol Inst Anal & Number Theory Steyrergasse 30-2 A-8010 Graz Austria Univ Witwatersrand Sch Math Private Bag X3 ZA-2050 Johannesburg South Africa AIMS Ghana Biriwa POB DL 676 Cape Coast Central Region Ghana
In this paper, we find all integers c having at least two representations as a difference between a Fibonacci number and a power of 2.
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Padovan numbers which are palindromic concatenations of two distinct repdigits
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REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 2021年 第3期115卷 1-14页
作者: Chalebgwa, Taboka P. Ddamulira, Mahadi McMaster Univ Dept Math & Stat Hamilton ON L8S 4K1 Canada Graz Univ Technol Inst Anal & Number Theory Kopernikusgasse 24-2 A-8010 Graz Austria Max Planck Inst Software Syst Saarland Informat CampusCampus E1 5 D-66123 Saarbrucken Germany Makerere Univ Coll Nat Sci Sch Phys Sci Dept Math POB 7062 Kampala Uganda
In this paper we determine all Padovan numbers that are palindromic concatenations of two distinct repdigits.
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linear combinations of prime powers in sums of terms of binary recurrence sequences
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LITHUANIAN MATHEMATICAL JOURNAL 2017年 第4期57卷 506-520页
作者: Meher, Nabin Kumar Rout, Sudhansu Sekhar Harish Chandra Res Inst HBNI Chhatnag Rd Jhunsi 211019 India
Let (U (n) ) (n0) be a nondegenerate binary recurrence sequence with positive discriminant. Let p (1) , . . . , p (s) be fixed prime numbers, b (1) , . . . , b (s) be fixed nonnegative integers, and a (1) , . . . , a ... 详细信息
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Powers of two as sums of three Fibonacci numbers
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LITHUANIAN MATHEMATICAL JOURNAL 2015年 第3期55卷 301-311页
作者: Bravo, Eric F. Bravo, Jhon J. Univ Cauca Dept Matemat Calle 5 4-70 Popayan Colombia
We find all positive integer solutions of the Diophantine equation F (n) + F (m) + F (e) = 2 (a) , where F (k) is the kth term of the Fibonacci sequence. This paper continues and extends the previous work of J.J. Brav... 详细信息
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ON THE DIOPHANTINE EQUATION Fn + Fm=2a
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QUAESTIONES MATHEMATICAE 2016年 第3期39卷 391-400页
作者: Bravo, Jhon J. Luca, Florian Univ Cauca Dept Matemat Calle 5 4-70 Popayan Cauca Colombia Univ Witwatersrand Sch Math POB Wits 2050 ZA-2050 Johannesburg South Africa
In this paper, we find all the solutions of the title Diophantine equation in positive integer variables (n, m, (a), where F-k, is the kth term of the Fibonacci sequence. The proof of our main theorem uses lower bound... 详细信息
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