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Fellows Directory

Klaus Roth

Professor Klaus Roth FRS


Elected: 1960


Klaus Roth made important discoveries in the theory of numbers, and was particularly distinguished for his work on irregularities of distribution and his solution of the important problem of rational approximations to algebraic numbers.


  • Fields Medal

    Solved in 1955 the famous Thue-Siegel problem concerning the approximation to algebraic numbers by rational numbers and proved in 1952 that a sequence with no three numbers in arithmetic progression has zero density (a conjecture of Erdös and Turán of 1935.

  • Sylvester Medal

    For his many contributions to number theory and in particular his solution of the famous problem concerning approximating algebraic numbers by rationals.