40 citations · 42 across the 6 of their papers we have counts for
8 papers
Special functions and twisted -series
Bruno Anglès, Tuan Ngo Dac, Floric Tavares Ribeiro
We introduce a generalization of the Anderson-Thakur special function, and we prove a rationality result for several variable twisted -series associated to shtuka functions.
Twisted characteristic zeta functions
Bruno Anglès, Tuan Ngo Dac, Floric Tavares Ribeiro
We propose a "twisted" variation of zeta functions introduced by David Goss in 1979.
Exceptional Zeros of -series and Bernoulli-Carlitz Numbers
Bruno Anglès, Tuan Ngo Dac, Floric Tavares Ribeiro
Bernoulli-Carlitz numbers were introduced by L. Carlitz in 1935, they are the analogues in positive characteristic of Bernoulli numbers. We prove a conjecture formulated by F. Pell…
A Spiegelungssatz for function field -series
Bruno Anglès, Floric Tavares Ribeiro
We prove a kind of reflection principle for certain non-archimedean -series in positive characteristic. We also prove the pseudo-cyclicity and pseudo-nullity of certain several…
Anderson-Stark units for
Bruno Anglès, Federico Pellarin, Floric Tavares Ribeiro
We investigate the arithmetic of special values of a new class of -functions recently introduced by the second author. We prove that these special values are encoded in some par…
Arithmetic of positive characteristic L-series values in Tate algebras
Bruno Angles, Federico Pellarin, Floric Tavares-Ribeiro
The second author has recently introduced a new class of L-series in the arithmetic theory of function fields over finite fields. We show that the value at one of these L-series en…
On a theorem of Kisin
Alexander Beilinson, Floric Tavares Ribeiro
The note provides a simple proof of Kisin's theorem about the restriction of crystalline representations to certain subgroup of the Galois group.
An explicit formula for the Hilbert symbol of a formal group
Floric Tavares Ribeiro
Abrashkin established the Bruckner-Vostokov formula for the Hilbert symbol of a formal group under the assumption that roots of unity belong to the base field. The main motivation…