Algebraic independence by Mahler’s method and <span class="mathjax-formula">$S$</span>-unit equations

Among the topics we discuss are recent results due to Andrea Surroca on the number of algebraic points where a transcendental analytic function takes algebraic values, new

The initial goal was to give a proof of Baker transcendence theorem on linear independence of logarithms of algebraic numbers, which is supposed to be simpler than previously

Key words: simultaneous approximation, transcendental numbers, algebraic independence, approximation mea- sures, diophantine estimates, Liouville’s inequality, Dirichlet’s

I conjecture that mimicking the methods of [Ra1], it is possible to get precised q-Gevrey estimates for the formal solutions of a linear analytic

Examples In the present section we provide examples of motivic decompositions of projective homogeneous G-varieties obtained using Theorem 5.17, where G is a simple group of inner

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following sequence is exact.. A-modules in algebraic number theory.. §4 Class field theory and the global duality

In the first part, we show that if Y is a nonsingular model of a weighted complete intersection surface with only rational double points as singularities, then