SU\G(𝔸)/K·U

On the Equation (<i>x</i><sup> <i>m</i> </sup> – 1)/(<i>x</i> – 1) = <i>y</i><sup> <i>q</i> </sup> with <i>x</i> Power

Noriko Hirata-Kohno, T. N. Shorey

Type: Book-Chapter

Publication Date: 1997-10-16

Citations: 3

DOI: https://doi.org/10.1017/cbo9780511666179.011

Locations

  • Cambridge University Press eBooks - View

Similar Works

Action Title Year Authors
+ On the equation <i>x</i><sup>17</sup> - 1 = 0 2009 Arthur Cayley
+ The equation <i>c</i><sub>1</sub><i>x</i><sup>k</sup><sub>1</sub> + … + <i>c</i><sub>s</sub><i>x</i><sup>k</sup><sub>s</sub> = 0 2005 T. D. Browning
+ Note on the function ϑ(<i>x</i>) = <i>a</i><sup>2</sup>(<i>c</i>–<i>x</i>) ÷ {c(<i>c</i>–<i>x</i>)–<i>b</i><sup>2</sup>} 2009 Arthur Cayley
+ On the Equation <i>a</i>(<i>a</i> + <i>d</i>)(<i>a</i> + 2<i>d</i>)(<i>a</i> + 3<i>d</i>) = <i>x</i><sup>2</sup> 2000 Tamás Erdélyi
+ 97.41 The equation <i>py</i><sup>2</sup> = <i>x</i><sup>4</sup> + <i>x</i> 2013 Stan Dolan
+ 1. The quadratic equation <i>x</i><sup>2</sup> – <i>px</i> + <i>q</i> = 0 1958 J. W. Hesselgreaves
+ 11. The quadratic equation: <i>ax</i><sup>2</sup> + <i>bx</i> + <i>c</i> = 0 1958 A. G. Sillitto
+ Sur la manière de résoudre l'équation <i>t</i><sup>2</sup>−<i>pu</i><sup>2</sup> = 1 au moyen des fonctions circulaires 2012 Peter Gustav Lejeune Dirichlet
+ Sur l'équation <i>x</i><sup>3</sup> + <i>y</i><sup>3</sup> = <i>z</i><sup>3</sup> + <i>u</i><sup>3</sup> 2009 Charles Hermite
+ ON THE GENERAL DETERMINATION OF THE INTEGRATING FACTORS OF THE EQUATION <i>Mdx</i> + <i>Ndy</i> = 0 2014 George Boole
+ On the Equation <i>σ</i> ( <i>m</i> ) <i>σ</i> ( <i>n</i> ) = ( <i>m</i> + <i>n</i> ) <sup>2</sup> 1981 Masao Kishore
+ 80.34 On solutions of <i>m</i><sup>2</sup> + <i>n</i><sup>2</sup> = 1 + <i>l</i><sup>2</sup> 1996 Christopher Bradley
+ Integration of exp(−½<i>x</i><sup>2</sup>) 2008 David Applebaum
+ On the Functional Equation <i>f</i>(<i>x</i> + <i>y</i>) + <i>f</i>(<i>x</i> - <i>y</i>) = 2<i>f</i>(<i>x</i>)<i>f</i>(<i>y</i>) 1965 Pl. Kannappan
+ Remarks on Equations of the Form <i>p</i><sup>2</sup>=A<i>q</i><sup>2</sup> + 1, and on the common Method of resolving them in whole Numbers 2009 Leonard Euler
+ The Operation [<i>f</i>(<i>D</i>)]<sup>-1</sup><i>x<sup>m</sup>e<sup>λx</sup></i> 1931 John P. Dalton
+ On The Functional Equation <i>f</i>(<i>x+y</i>) = <i>f</i>(<i>x</i>)·<i>f</i>(<i>y</i>) 1965 S. W. Dharmadhikari
+ ON THE EQUATION Δ<i>u</i>+<i>k</i>(<i>x</i>)<i>e</i><sup><i>u</i></sup>= 0 1978 O A Oleĭnik
+ A Note on the Function Δ<i>q<sub>x</sub></i>/<i>q<sub>x</sub></i> in a Makeham Table 1932
+ Curve-Fit Coefficients for Δ<i>h<sub>c</sub></i>, <i>T<sub>ad</sub></i>, <i>K<sub>p</sub></i>, <i>C<sub>p</sub></i>, <i>h</i>, and <i>s</i> 2011 Anil W. Date

Works That Cite This (3)

Action Title Year Authors
+ PDF Chat On the Diophantine equation (x<sup>m</sup>-1)/(x-1) = (y<sup>n</sup>-1)/(y-1) 2002 Yann Bugeaud
T. N. Shorey
+ The Generalized Nagell-Ljunggren Problem: Powers with Repetitive Representations 2017 Andrew Bridy
Robert J. Lemke Oliver
Arlo Shallit
Jeffrey Shallit
+ Exponential Diophantine Equations Involving Products of Consecutive Integers and Related Equations 2000 T. N. Shorey

Works Cited by This (0)

Action Title Year Authors