16 citations · 71 across the 24 of their papers we have counts for
Showing 2009Show all
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math.NT2009★ 6 cited
Words and Transcendence
Michel Waldschmidt
Is it possible to distinguish algebraic from transcendental real numbers by considering the -ary expansion in some base ? In 1950, É. Borel suggested that the answer is n…
math.NT2009★ 13 cited
Perfect Powers: Pillai's works and their developments
Michel Waldschmidt
After a short introduction to Pillai's work on Diophantine questions, we quote some later developments and we discuss related open problems.
math.NT2009
Auxiliary functions in transcendence proofs
Michel Waldschmidt
We discuss the role of auxiliary functions in the development of transcendental number theory.
math.NT2009★ 16 cited
Report on some recent advances in Diophantine approximation
Michel Waldschmidt
A basic question of Diophantine approximation, which is the first issue we discuss, is to investigate the rational approximations to a single real number. Next, we consider the alg…