transcendental number theory

transcendental number theory (uncountable)

1. (number theory) The branch of number theory that deals with transcendental numbers.
   • 1975, Alan Baker, Transcendental Number Theory, Cambridge University Press (Cambridge Mathematical Library), page 48,

     Nevertheless, transcendental number theory has led to new results in several associated subjects.

   • 1998, Transcendental Number Theory and Related Topics: Proceedings of Japan-Korea Joint Seminar‎:

   • 2020, Saradha Natarajan, Ravindranathan Thangadurai, Pillars of Transcendental Number Theory, Springer, page 21:

     The transcendental number theory was originated by Liouville in 1844 when he showed a method to construct transcendental numbers.