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math.NT2019
On Siegel's problem for E-functions
S. Fischler, T. Rivoal
Siegel defined in 1929 two classes of power series, the E-functions and G-functions, which generalize the Diophantine properties of the exponential and logarithmic functions respec…
math.NT2019
Effective algebraic independence of values of E-functions
S Fischler, T. Rivoal
E-functions are entire functions with algebraic Taylor coefficients satisfying certain arithmetic conditions, and which are also solutions of linear differential equations with pol…
math.NT2019★ 4 cited
Irrationality of values of L-functions of Dirichlet characters
Stéphane Fischler
In a recent paper with Sprang and Zudilin, the following result was proved: if is large enough in terms of , then at least $2^{(1-\varepsilon)\frac{\log a}{\log…