= Patrice Philippon
{c}
<Patrice Philippon> works on <transcendental number theory>. His joint chapter with <Michel Waldschmidt> gives lower bounds for <linear forms in logarithms of algebraic numbers>, explicitly distinguishing general algebraic coefficients from rational-integer coefficients.<Lower bounds for linear forms in logarithms by Patrice Philippon and Michel Waldschmidt>[Title/byline and Theorems 1.1 and 2.1–2.2]{ref}
The central arithmetic question is quantitative: once a logarithmic combination is known to be nonzero, how closely can it approach zero? An explicit bound links <Diophantine approximation> to finite calculations and can help restrict candidate solutions of <Diophantine equations>.
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