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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 problem of Pillai with k-generalized Fibonacci numbers and powers of 3
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INTERNATIONAL JOURNAL OF NUMBER THEORY 2020年 第7期16卷 1643-1666页
作者: Ddamulira, Mahadi Luca, Florian Graz Univ Technol Inst Anal & Number Theory Kopernikusgasse 24-2 A-8010 Graz Austria Univ Witwatersrand Sch Math Private Bag X3 ZA-2050 Johannesburg South Africa King Abdulaziz Univ Res Grp Algebra Struct & Applicat Jeddah Saudi Arabia UNAM Ctr Ciencias Matemat Morelia Michoacan Mexico
For an integer k >= 2, let {F-n((k))}(n >= 2-k) be the k-generalized Fibonacci sequence which starts with 0, ... ,0, 1 (a total of k terms) and for which each term afterwards is the sum of the k preceding terms.... 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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On explicit bounds for the solutions of a class of parametrized Thue equations of arbitrary degree
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MONATSHEFTE FUR MATHEMATIK 2001年 第4期132卷 325-339页
作者: Heuberger, C Graz Tech Univ Math Inst A-8010 Graz Austria
In a recent paper [7] the author considered the family of parametrized Thue equations F-a (X, Y) := Pi (n)(i=1) (X - P-i(a)Y) - Y-n = +/-1, a is an element of N for monic polynomials p(1),...,p(n) is an element of Z[a... 详细信息
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A REMARK ON PRIME DIVISORS OF PARTITION FUNCTIONS
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INTERNATIONAL JOURNAL OF NUMBER THEORY 2014年 第1期10卷 125-131页
作者: Pollack, Paul Univ Georgia Boyd Grad Studies Res Ctr Dept Math Athens GA 30602 USA
Schinzel showed that the set of primes that divide some value of the classical partition function is infinite. For a wide class of sets A, we prove an analogous result for the function pA(n) that counts partitions of ... 详细信息
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ON THE DIOPHANTINE EQUATION axy + byz + czx=0
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INTERNATIONAL JOURNAL OF NUMBER THEORY 2012年 第3期8卷 813-821页
作者: Zhang, Zhongfeng Yuan, Pingzhi Zhaoqing Univ Coll Math & Informat Sci Zhaoqing 526061 Peoples R China S China Normal Univ Sch Math Guangzhou 510631 Guangdong Peoples R China
Let a, b, c be integers. In this paper, we prove the integer solutions of the equation ax(y) + by(z) + cz(x) = 0 satisfy max{vertical bar x vertical bar, vertical bar y vertical bar, vertical bar z vertical bar} <=... 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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Solving superelliptic diophantine equations by Baker's method
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COMPOSITIO MATHEMATICA 1998年 第3期112卷 273-312页
作者: Bilu, YF Hanrot, G Univ Basel Inst Math CH-4051 Basel Switzerland Univ Bordeaux 1 CNRS UMR 9936 F-33405 Talence France
We describe a method for complete solution of the superelliptic Diophantine equation ay(p) = f(x). The method is based on Baker's theory of linear forms in the logarithms. The characteristic feature of our approac... 详细信息
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Digit sums of binomial sums
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JOURNAL OF NUMBER THEORY 2012年 第2期132卷 324-331页
作者: Knopfmacher, Arnold Luca, Florian Univ Nacl Autonoma Mexico Inst Matemat Morelia 58089 Michoacan Mexico Univ Witwatersrand John Knopfmacher Ctr Applicable Anal & Number The ZA-2050 Po Wits South Africa
Let b >= 2 be a fixed positive integer and let S(n) be a certain type of binomial sum. In this paper, we show that for most n the sum of the digits of S(n) in base b is at least c(0) logn/(log log n), where c(0) is... 详细信息
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On perfect powers that are difference of two Perrin numbers or two Padovan numbers
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PROCEEDINGS OF THE INDIAN NATIONAL SCIENCE ACADEMY 2024年 第1期90卷 124-131页
作者: Duman, Merve Gueney Sakarya Univ Appl Sci Fac Technol Fundamental Sci Engn Sakarya Turkiye
Let (Pk)k >= 0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemar... 详细信息
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A multi-frey approach to some multi-parameter families of diophantine equations
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CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 2008年 第3期60卷 491-519页
作者: Bugeaud, Yann Mignotte, Maurice Siksek, Samir Univ Strasbourg 1 UFR Math F-67084 Strasbourg France Univ Warwick Inst Math Coventry CV4 7AL W Midlands England
We solve several multi-parameter families of binomial Thue equations of arbitrary degree;for example, we solve the equation 5(u)x(n) - 2(r)3(s)y(n) = +/- 1, in non-zero integers x, y and positive integers u, r, s and ... 详细信息
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