Baltic Way 2003 Problems and Solutions 1. Let Q be the set of positive rational numbers. Find all functions f : Q → Q which for all x ∈ Q fulfil (1) : f ( x1 ) = f (x) (2) : (1 x1 )f (x) = f (x 1) - Lattice field theory - Document - PDFSEARCH.IO

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	Baltic Way 2003 Problems and Solutions 1. Let Q+ be the set of positive rational numbers. Find all functions f : Q+ → Q+ which for all x ∈ Q+ fulfil (1) : f ( x1 ) = f (x) (2) : (1 + x1 )f (x) = f (x + 1) Add to Reading List Document Date: 2005-08-27 11:22:17 Open Document File Size: 98,03 KB Share Result on Facebook Company ABC / BP / / Person Ai / / / Position first player / player / second player / / ProgrammingLanguage RC / / ProvinceOrState British Columbia / Alberta / Ontario / / SocialTag Algebraic number theory Field theory Modular arithmetic Coprime Divisor Fibonacci number Rational number Lattice Euclidean algorithm Mathematics

Baltic Way 2003 Problems and Solutions 1. Let Q+ be the set of positive rational numbers. Find all functions f : Q+ → Q+ which for all x ∈ Q+ fulfil (1) : f ( x1 ) = f (x) (2) : (1 + x1 )f (x) = f (x + 1)Add to Reading List