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检索条件"主题词=Linear forms in logarithms"
145 条 记 录,以下是71-80 订阅
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An Infinite Two-Parameter Family of Diophantine Triples
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BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY 2020年 第1期43卷 481-498页
作者: Cipu, Mihai Filipin, Alan Fujita, Yasutsugu Romanian Acad Simion Stoilow Inst Math Res Unit 5POB 1-764 RO-014700 Bucharest Romania 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
In this paper, we study sets of positive integers with the property that the product of any two elements in the set increased by the unity is a square. It is shown that if the two smallest elements have the form KA(2)... 详细信息
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Diophantine pairs that induce certain Diophantine triples
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JOURNAL OF NUMBER THEORY 2020年 210卷 433-475页
作者: Cipu, Mihai Filipin, Alan Fujita, Yasutsugu Romanian Acad Simion Stoilow Inst Math Res Unit 5POB 1-764 RO-014700 Bucharest 5 Romania 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
Diophantine tuples are sets of positive integers with the property that the product of any two elements in the set increased by the unity is a square. In the main theorem of this paper it is shown that any Diophantine... 详细信息
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A short note on generalized Euler-Briggs constants
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INTERNATIONAL JOURNAL OF NUMBER THEORY 2020年 第4期16卷 823-839页
作者: Bharadwaj, Abhishek T. Chennai Math Inst H1 SIPCOT IT Pk Siruseri 603103 Kelambakkam India
Recently, Gun, Saha and Sinha had introduced the notion of generalised Euler Briggs constant gamma(Omega, a, q) for a finite set of primes Omega. In a subsequent work, Gun, Murty and Saha introduced the following Q-ve... 详细信息
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NOTE ON FOURIER-STIELTJES COEFFICIENTS OF COIN-TOSSING MEASURES
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BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2020年 第3期102卷 479-489页
作者: Gao, Xiang Wen, Shengyou Hubei Univ Hubei Key Lab Appl Math Dept Math Wuhan 430062 Peoples R China
It is known that the Fourier-Stieltjes coe fficients of a nonatomic coin-tossing measure may not vanish at infinity. However, we show that they could vanish at infinity along some integer subsequences, including the s... 详细信息
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Balancing numbers which are concatenation of two repdigits
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BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 2020年 第3期26卷 911-919页
作者: Rayaguru, Sai Gopal Panda, Gopal Krishna Natl Inst Technol Rourkela Dept Math Rourkela 769008 Odisha India
In this paper, we show that 35 is the only balancing number which is concatenation of two repdigits.
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On X-coordinates of Pell equations which are repdigits
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RESEARCH IN NUMBER THEORY 2020年 第4期6卷 1-22页
作者: Gomez, Carlos A. Luca, Florian Zottor, Faith Shadow Univ Valle Dept Matemat Calle 13 100-00 Cali 25360 Colombia Univ Witwatersrand Sch Math Private Bag X3 ZA-2050 Johannesburg Johannesburg South Africa King Abdulaziz Univ Res Grp Algebra Struct & Applicat Jeddah Saudi Arabia Max Planck Inst Software Syst Saarbrucken Germany UNAM Ctr Ciencias Matemat Morelia Michoacan Mexico
In this paper, we give an algorithm which finds, for an integer base b >= 2, all squarefree integers d >= 2 such that sequence of X-components {X-n}(n >= 1) of the Pell equation X-2-dY(2) = +/- 1 has two memb... 详细信息
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On the Exponential Diophantine Equation Fn+1x - Fn-1x=Fm
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MEDITERRANEAN JOURNAL OF MATHEMATICS 2021年 第5期18卷 187-187页
作者: Patel, Bijan Kumar Chaves, Ana Paula Kalinga Inst Ind Technol Dept Math Bhubaneswar 751024 Odisha India Univ Fed Goias Inst Matemat & Estat BR-74690612 Goiania Go Brazil
Let (Fn)(n >= 0) be the Fibonacci sequence given by Fn+2 = Fn+1+F-n for n >= 0 where F0=0 F-1 = 1. In this paper, we explicitly find all solutions of the title Diophantine equation using lower bounds for linear ... 详细信息
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Padovan and Perrin Numbers Which are Products of Two Repdigits in Base b
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RESULTS IN MATHEMATICS 2021年 第4期76卷 193-193页
作者: Adedji, Kouessi Norbert Filipin, Alan Togbe, Alain Univ DAbomey Calavi Inst Math & Sci Phys Godomey Benin Univ Zagreb Fac Civil Engn Fra Andrije Kacica Miosica 26 Zagreb 10000 Croatia Purdue Univ Northwest Dept Math & Stat 1401 SUS 421 Westville IN 46391 USA
In this paper, we find all Padovan and Perrin numbers which can be expressible as a products of two repdigits in the base b with 2 <= b <= 10. It is shown that the largest Padovan and Perrin numbers which can be... 详细信息
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On a problem of Pillai with Fibonacci numbers and powers of 3
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BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 2020年 第2期26卷 263-277页
作者: Ddamulira, Mahadi Graz Univ Technol Inst Anal & Number Theory Kopernikusgasse 24-2 A-8010 Graz Austria
Consider the sequence {Fn} n=0 of Fibonacci numbers defined by F0 = 0, F1 = 1, and Fn+ 2 = Fn+ 1 + Fn for all n = 0. In this paper, we find all integers c having at least two representations as a difference between a ... 详细信息
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On the X-coordinates of Pell equations which are products of two Fibonacci numbers
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JOURNAL OF NUMBER THEORY 2019年 203卷 310-333页
作者: Kafle, Bir Luca, Florian Montejano, Amanda Szalay, Laszlo Togbe, Alain Purdue Univ Northwest Hammond LA USA Univ Witwatersrand Johannesburg South Africa King Abdulaziz Univ Res Grp Algebra Struct & Applicat Jeddah Saudi Arabia Univ Ostrava Ostrava Czech Republic Univ Nacl Autonoma Mexico Mexico City DF Mexico J Selye Univ Elekrarenska Cesta 2 Komarno 94501 Slovakia Univ Sopron Bajcsy Zsilinszky U 4 H-9400 Sopron Hungary
For an integer d >= 2 which is not a square, we show that there is at most one value of the positive integer X participating in the Pell equation X-2 - dY(2) = +/- 1 which is a product of two Fibonacci numbers, wit... 详细信息
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