Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Anglès, Bruno"'
Let $q\geq2$ be a prime power and consider Drinfeld modules of rank 2 over $\mathbb{F}_q[T]$. We prove that there are no points with coordinates being Drinfeld singular moduli, on a family of hyperbolas $XY=\gamma$, where $\gamma$ is a polynomial of
Externí odkaz:
http://arxiv.org/abs/2404.01075
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
Publikováno v:
In Advances in Mathematics 7 October 2020 372
