40 citations · 74 across the 16 of their papers we have counts for
21 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.
Stark units in positive characteristic
Bruno Anglès, Tuan Ngo Dac, Floric Tavares Ribeiro
We show that the module of Stark units associated to a sign-normalized rank one Drinfeld module can be obtained from Anderson's equivariant -harmonic series. We apply this to ob…
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…
Arithmetic of function field units
Bruno Anglès, Floric Tavares Ribeiro
We prove a "discrete analogue" for Taelman's class modules of certain Conjectures formulated by R. Greenberg for cyclotomic fields.
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…