7 citations · 25 across the 10 of their papers we have counts for
10 papers
Log-crystalline representations and -modules
Abhinandan, Denis Benois
Let be an absolutely unramified mixed characteristic local field with rings of integers . For a small affine algebra over , we consider the logarithmic étale fund…
Arithmetic of critical -adic -functions
Denis Benois, Kâzım Büyükboduk
Our objective in the present work is to develop a fairly complete arithmetic theory of critical -adic -functions on the eigencurve. To this end, we carry out the following ta…
On extra-zeros of p-adic Rankin-Selberg L-functions
Denis Benois, Stéphane Horte
We prove a version of the Extra-zero conjecture formulated by the first named author for p-adic L-functions associated to Rankin-Selberg convolutions of modular forms of the same w…
Interpolation of Beilinson-Kato elements and -adic -functions
Denis Benois, Kâzım Büyükboduk
Our objective in this series of two articles, of which the present article is the first, is to give a Perrin-Riou-style construction of -adic -functions (of Bellaïche and Ste…
On the exceptional zeros of -non-ordinary -adic -functions and a conjecture of Perrin-Riou
Denis Benois, Kazim Buyukboduk
Our goal in this article is to prove a form of -adic Birch and Swinnerton-Dyer formula for the second derivative of the -adic -function associated to a newform which i…
P-adic heights and p-adic Hodge theory
Denis Benois
Using the theory of -modules and the formalism of Selmer complexes we construct the p-adic height for p-adic representations with coefficients in an affinoid algebra over $Q…
On extra zeros of p-adic L-functions: the crystalline case
Denis Benois
We formulate a conjecture about extra zeros of p-adic L-functions at near central points which generalises the conjecture formulated in our previous paper. We prove that this conje…
Trivial zeros of p-adic L-functions at near central points
Denis Benois
Using the $\scr L$-invariant constructed in our previous paper we prove a Mazur-Tate-Teitelbaum style formula for derivatives of p-adic L-functions of elliptic modular forms at nea…
On trivial zeros of Perrin-Riou's -functions
Denis Benois
In the previous paper we generalized Greenberg's construction of the $\Cal L$-invariant to semistable representations. Here we prove that this construction is compatible with Perri…
A Generalization of Greenberg's $\Cal L$-invariant
Denis Benois
Using the theory of -modules we generalizes Greenberg's construction of the $\Cal L$-invariant to semistable representations