Michel Waldschmidt
= Michel Waldschmidt
{c}
<Michel Waldschmidt> works on <transcendental number theory> and <Diophantine approximation>. With <Patrice Philippon>, he wrote quantitative results for <linear forms in logarithms of algebraic numbers> of algebraic numbers.<Lower bounds for linear forms in logarithms by Patrice Philippon and Michel Waldschmidt>[Original title/byline and Theorems 1.1 and 2.1–2.2]{ref}
A nonzero expression such as $b_1\log\alpha_1+b_2\log\alpha_2$ can be small, but lower bounds limit how small it can be in terms of the algebraic data and coefficient sizes. Such bounds convert qualitative nonvanishing into numerical restrictions useful in solving <Diophantine equations>. The algebraic-coefficient and integer-coefficient cases require distinct estimates.<Lower bounds for linear forms in logarithms by Patrice Philippon and Michel Waldschmidt>[Theorems 1.1 and 2.1–2.2, pp. 280–283]{ref}