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检索条件"主题词=Linear forms in logarithms"
145 条 记 录,以下是1-10 订阅
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A KIT FOR linear forms IN THREE logarithms
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MATHEMATICS OF COMPUTATION 2024年 第348期93卷 1903-1951页
作者: Mignotte, Maurice Voutier, Paul Laurent, Michel Univ Louis Pasteur UFR Math 7Rue Rene Descartes F-67084 Strasbourg France Aix Marseille Univ Inst Math Marseille 163 Ave LuminyCase 907 F-13288 Marseille 9 France
We provide a technique to obtain explicit bounds for problems that can be reduced to linear forms in three complex logarithms of algebraic numbers. This technique can produce bounds significantly better than general r... 详细信息
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Lower bounds for linear forms in two p-adic logarithms
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JOURNAL OF NUMBER THEORY 2025年 266卷 295-349页
作者: Chim, Kwok Chi Graz Univ Technol Inst Anal & Number Theory Steyrergasse 30-2 A-8010 Graz Austria
We prove explicit lower bounds for linear forms in two p- adic logarithms. More specifically, we establish explicit lower bounds for the p-adic distance between two integral powers of algebraic numbers, that is, | Lam... 详细信息
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linear forms in logarithms and integral points on higher-dimensional varieties
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ALGEBRA & NUMBER THEORY 2014年 第3期8卷 647-687页
作者: Levin, Aaron Michigan State Univ Dept Math E Lansing MI 48824 USA
We apply inequalities from the theory of linear forms in logarithms to deduce effective results on S-integral points on certain higher-dimensional varieties when the cardinality of S is sufficiently small. These resul... 详细信息
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Pell or Pell-Lucas numbers as concatenations of two repdigits in base b
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REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 2025年 第1期119卷 1-16页
作者: Adedji, Kouessi Norbert Filipin, Alan Rihane, Salah Eddine 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 Natl Higher Sch Math Sidi Abdallah Algiers Algeria Purdue Univ Northwest Dept Math & Stat 2200 169th St Hammond IN 46323 USA
Let b be a positive integer such that b >= 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{u... 详细信息
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Effective approximation to complex algebraic numbers by quadratic numbers
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CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 2025年 第1期68卷 262-269页
作者: Bajpai, Prajeet Bugeaud, Yann Univ British Columbia Dept Math Vancouver BC V6T 1Z2 Canada Univ Strasbourg IRMA UMR 7501 7 rue Rene Descartes F-67084 Strasbourg France CNRS 7 rue Rene Descartes F-67084 Strasbourg France
We establish an effective improvement on the Liouville inequality for approximation to complex nonreal algebraic numbers by quadratic complex algebraic numbers.
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On Mulatu and generalized Lucas numbers which are products of four b-repdigits with a consequence
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INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 2025年 1-18页
作者: Adedji, Kouessi Norbert Univ Abomey Calavi UAC Inst Math et Sci Phys IMSP Abomey Calavi Benin
Let b be an integer such that b >= 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} ... 详细信息
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On the solutions of the Diophantine equation Fn ± Fm=3s yb
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INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 2025年 1-10页
作者: Siar, Zafer Erduran, Ibrahim Bingol Univ Dept Math Bingol Turkiye Berrin Topcuoglu Anatolian High Sch Gaziantep Turkiye
In this paper, we will give an upper bound on n satisfying the Diophantine equation F-n +/- F-m=3(s) y(b) in nonnegative integers s >= 0, y >= 2, b >= 2, n >= m > 0 and (y, 3) = 1. Then, we determine al... 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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Palindromic Concatenations of Two Distinct Repdigits in Narayana's Cows Sequence
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BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 2024年 第3期50卷 1-16页
作者: Ddamulira, Mahadi Emong, Paul Mirumbe, Geoffrey Ismail Makerere Univ Dept Math POB 7062 Kampala Uganda
Let (Nn)n >= 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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TRANSCENDENCE OF GENERALISED EULER-KRONECKER CONSTANTS
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BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2024年 第3期109卷 464-470页
作者: Kandhil, Neelam Lunia, Rashi Max Planck Inst Math Vivatsgasse 7 D-53111 Bonn Germany Inst Math Sci CIT Campus Chennai 600113 India
We introduce some generalisations of the Euler-Kronecker constant of a number field and study their arithmetic nature.
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