Author

T. Rivoal

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Open access Oct 2026

Arithmetic properties of the Taylor coefficients of differentially algebraic power series

<jats:p> Let <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>=</mml:mo> <mml:msubsup> <mml:mo>∑</mml:mo>...

C. Krattenthaler, T. Rivoal · Annales de la faculté des sc... · 0 citations

Preprint Sep 2026

Transcendence measure for the values of the logarithmic derivative of the Bessel function $J_0$ at algebraic arguments

Let $P\in \mathbb Z[X]\setminus\{0\}$ be of degree $\delta\ge 1$ and usual height $H\ge 1$, and let $\alpha\in \overline{\mathbb Q}^*$ be of degree $d\ge 2$. As a consequence of general result due to Lang and Galochkin, we have the following transcendence measure: for any $\varepsilon>0$, there exists $c>0$ such that $...

S. Fischler, T. Rivoal · 0 citations