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user38651
user38651
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Some time ago I encountered in my work a diophantine equation of the form

$A .cos(\frac{2 \pi k}{l} )= B$following equation
$ cos(\frac{2 \pi k}{l} )= B$

For $A$ rational , $k ,l$ integers and $B$ irrational . The problem is already solvedconsists in finding for a given irrational number $B$ rational in, a somewhat more complicated looking diophantinepair of integers $(k,l)$ satisfying the written equation. Now, my question is: What can be said in general about the solvability / solutions of this?

Some time ago I encountered in my work a diophantine equation of the form

$A .cos(\frac{2 \pi k}{l} )= B$

For $A$ rational , $k ,l$ integers and $B$ irrational . The problem is already solved for $B$ rational in a somewhat more complicated looking diophantine equation. Now, my question is: What can be said in general about the solvability / solutions of this?

Some time ago I encountered in my work the following equation
$ cos(\frac{2 \pi k}{l} )= B$

The problem consists in finding for a given irrational number $B$, a pair of integers $(k,l)$ satisfying the written equation.

Post Closed as "Needs details or clarity" by Felipe Voloch, Ryan Budney, Chris Godsil, Eric Wofsey, Karl Schwede
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user38651
user38651
  • 67
  • 2

Diophantine equation

Some time ago I encountered in my work a diophantine equation of the form

$A .cos(\frac{2 \pi k}{l} )= B$

For $A$ rational , $k ,l$ integers and $B$ irrational . The problem is already solved for $B$ rational in a somewhat more complicated looking diophantine equation. Now, my question is: What can be said in general about the solvability / solutions of this?