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检索条件"主题词=Linear forms in logarithms"
145 条 记 录,以下是81-90 订阅
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Prime powers in sums of terms of binary recurrence sequences
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MONATSHEFTE FUR MATHEMATIK 2019年 第4期189卷 695-714页
作者: Mazumdar, Eshita Rout, S. S. Indian Inst Technol Dept Math Mumbai 400076 Maharashtra India Nankai Univ Ctr Combinator Tianjin Peoples R China Harish Chandra Res Inst Chhatnag Rd Jhunsi 211019 India Inst Math & Applicat Bhubaneswar 751029 Odisha India
Let (un)n >= 0 be a non-degenerate binary recurrence sequence with positive discriminant and p be a fixed prime number. In this paper, we are interested in finding a finiteness result for the solutions of the Dioph... 详细信息
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REPRESENTATION OF UNITY BY BINARY forms
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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 2012年 第4期364卷 2129-2155页
作者: Akhtari, Shabnam Max Planck Inst Math D-53111 Bonn Germany
In this paper, it is shown that if F(x, y) is an irreducible binary form with integral coefficients and degree n >= 3, then provided that the absolute value of the discriminant of F is large enough, the equation F(... 详细信息
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Euler-Lehmer constants and a conjecture of Erdos
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JOURNAL OF NUMBER THEORY 2010年 第12期130卷 2671-2682页
作者: Murty, M. Ram Saradha, N. Queens Univ Dept Math Kingston ON K7L 3N6 Canada Tata Inst Fundamental Res Sch Math Bombay 400005 Maharashtra India
The Euler-Lehmer constants gamma(a, q) are defined as the limits lim(x ->infinity) ( Sigma(n = 2, is an algebraic number. The methods used to prove this theorem can also be applied to study the following question o... 详细信息
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Fibonacci or Lucas Numbers Which are Products of Two Repdigits in Base b
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BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 2021年 第4期52卷 1025-1040页
作者: Siar, Zafer Keskin, Refik Erduvan, Fatih Bingol Univ Dept Math Bingol Turkey Sakarya Univ Dept Math Sakarya Turkey
In this study, we find all Fibonacci and Lucas numbers which can be expressible as a product of two repdigits in the base b. It is shown that the largest Fibonacci and Lucas numbers which can be expressible as a produ... 详细信息
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On a class of quartic Thue equations with three parameters
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JOURNAL OF NUMBER THEORY 2019年 第0期202卷 347-387页
作者: He, Bo Odjoumani, Japhet Togbe, Alain China West Normal Univ Sch Math & Informat Nanchong 637000 Sichuan Peoples R China Univ Abomey Calavi Inst Math & Sci Phys Dangbo Benin Purdue Univ Northwest Dept Math Stat & Comp Sci 1401 SUS 421 Westville IN 46391 USA
Let k, m and n be integers. In this paper, for a fixed integer mu not equal 0, we show that the family of Thue equation x(4) - kmnn(3)y + (km(2) - km(2) + 2)x(2)y(2) + kmnxy(3) + y(4) = mu is reducible by Tzanakis'... 详细信息
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Terms of Generalized Fibonacci Sequences That are Powers of Their Orders
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LITHUANIAN MATHEMATICAL JOURNAL 2016年 第2期56卷 219-228页
作者: Marques, Diego Trojovsky, Pavel Univ Brasilia Dept Matemat BR-70910900 Brasilia DF Brazil Univ Hradec Kralove Fac Sci Dept Math Rokitanskeho 62 Hradec Kralove 50003 Czech Republic
For k a parts per thousand yen 2, the k-generalized Fibonacci sequence (F (n) ((k)) ) (n) is defined by the initial values 0,0,aEuro broken vertical bar, 0, 1 (k terms) so that each term afterward is the sum of the k ... 详细信息
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On the number of extensions of a Diophantine triple
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INTERNATIONAL JOURNAL OF NUMBER THEORY 2018年 第3期14卷 899-917页
作者: Cipu, Mihai Fujita, Yasutsugu Miyazaki, Takafumi Romanian Acad Simion Stoilow Inst Math Res Unit 5POB 1-764 RO-014700 Bucharest Romania Nihon Univ Coll Ind Technol Dept Math 2-11-1 Shin Ei Narashino Chiba Japan Gunma Univ Fac Sci & Technol Div Pure & Appl Sci 1-5-1 Tenjin Cho Kiryu Gunma Japan
A set of positive integers is called a Diophantine tuple if the product of any two elements in the set increased by unity is a perfect square. Any Diophantine triple is conjectured to be uniquely extended to a Diophan... 详细信息
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Quartic Thue equations
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JOURNAL OF NUMBER THEORY 2010年 第1期130卷 40-60页
作者: Akhtari, Shabnam Okazaki, Ryotaro Max Planck Inst Math D-53072 Bonn Germany Doshisha Univ Dept Math Kyoto 6100394 Japan
We will give upper bounds upon the number of integral solutions to binary quartic Thue equations. We will also study the geometric properties of a specific family of binary quartic Thue equations to establish sharper ... 详细信息
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ON THE RATIO OF 2 BLOCKS OF CONSECUTIVE INTEGERS
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PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES 1990年 第2期100卷 107-132页
作者: SARADHA, N SHOREY, TN TATA INST FUNDAMENTAL RES SCH MATHBOMBAY 400005INDIA
Under certain assumptions, it is shown that eq. (2) has only finitely many solutions in integersx≥0,y≥0,k≥2,l≥0. In particular, it is proved that (2) witha=b=1, l=k implies thatx=7,y=0,k=3.
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Repdigits as sums of two k-Fibonacci numbers
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MONATSHEFTE FUR MATHEMATIK 2015年 第1期176卷 31-51页
作者: Bravo, Jhon J. Luca, Florian Univ Cauca Dept Matemat Popayan Cauca Colombia UNAM Juriquilla Math Inst Santiago De Queretaro 76230 Queretaro De Ar Mexico Univ Witwatersrand Sch Math Johannesburg South Africa
For an integer , let be the -Fibonacci sequence which starts with ( terms) and each term afterwards is the sum of the preceding terms. In this paper, we find all repdigits (i.e., numbers with only one distinct digit i... 详细信息
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