Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Ribeiro, Floric Tavares"'
We introduce a generalization of the Anderson-Thakur special function, and we prove a rationality result for several variable twisted $L$-series associated to shtuka functions.
Externí odkaz:
http://arxiv.org/abs/1609.04792
We show that the module of Stark units associated to a sign-normalized rank one Drinfeld module can be obtained from Anderson's equivariant $A$-harmonic series. We apply this to obtain a class formula \`a la Taelman and to prove a several variable lo
Externí odkaz:
http://arxiv.org/abs/1606.05502
We propose a "twisted" variation of zeta functions introduced by David Goss in 1979.
Externí odkaz:
http://arxiv.org/abs/1603.04076
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. Pellarin and the first author on the non-vanishing modulo a given prime of
Externí odkaz:
http://arxiv.org/abs/1511.06209
Autor:
Anglès, Bruno, Ribeiro, Floric Tavares
We prove a "discrete analogue" for Taelman's class modules of certain Conjectures formulated by R. Greenberg for cyclotomic fields.
Comment: This is a development and generalization of a part of the (now obsolete) preprint arXiv:1502.00949
Comment: This is a development and generalization of a part of the (now obsolete) preprint arXiv:1502.00949
Externí odkaz:
http://arxiv.org/abs/1506.06286
Autor:
Anglès, Bruno, Ribeiro, Floric Tavares
We prove a kind of reflection principle for certain non-archimedean $L$-series in positive characteristic. We also prove the pseudo-cyclicity and pseudo-nullity of certain several variable generalizations of the class modules introduced by L. Taelman
Externí odkaz:
http://arxiv.org/abs/1502.00949
We investigate the arithmetic of special values of a new class of $L$-functions recently introduced by the second author. We prove that these special values are encoded in some particular polynomials which we call Anderson-Stark units. We then use th
Externí odkaz:
http://arxiv.org/abs/1501.06804
Autor:
Ribeiro, Floric Tavares
We construct a Wach module for the absolutely semi-stable representations the filtered $(\varphi, N)$-module of which satisfies the Griffiths transversality, which happens in particular for ordinary representations. This construction extends the ones
Externí odkaz:
http://arxiv.org/abs/1210.2912
The note provides a simple proof of Kisin's theorem about the restriction of crystalline representations to certain subgroup of the Galois group.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/1205.2913
Autor:
Ribeiro, Floric Tavares
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 of this work is to remove this hypothesis. It is obtained by combining
Externí odkaz:
http://arxiv.org/abs/0811.3132