In this paper, we study the p-adic L-functions attached to a modular form f=∑ anqn at a
supersingular prime and mainly the case when ap= 0. It is known in many cases that these L …

We prove the μ-part of the main conjecture for modular forms along the anticyclotomic Zp-
extension of a quadratic imaginary field. Our proof consists of first giving an explicit formula …

Si M est un motif défini sur un corps de nombres, on sait lui associer (au moins
conjecturalement) une fonction analytique complexe L (M, s) définie par un produit eulérien …

TEXT: We extend Kobayashiʼs formulation of Iwasawa theory for elliptic curves at
supersingular primes to include the case ap≠ 0, where ap is the trace of Frobenius. To do …

Let K be an imaginary quadratic field and $ p\geq 5$ a rational prime inert in K. For a
$\mathbb {Q} $-curve E with complex multiplication by $\mathcal {O} _K $ and good …

We define a family of Coleman maps for positive crystalline p-adic representations of the
absolute Galois group of Qp using the theory of Wach modules. Let f=∑ anqn be a …

Let p be a prime number and let E be an elliptic curve defined over ℚ of conductor N. Let K
be an imaginary quadratic field with discriminant prime to pN such that all prime factors of N …

About a decade ago Bertolini–Darmon–Prasanna proved ap-adic Waldspurger formula,
which expresses values of an anticyclotomic p-adic L-function associated to an elliptic curve …

We prove a fundamental conjecture of Rubin on the structure of local units in the
anticyclotomic Z_p-extension of the unramified quadratic extension of Q_p for p≧5 a prime …

In this paper, we make a study of the Iwasawa theory of an elliptic curve at a supersingular
prime p along an arbitrary ℤp-extension of a number field K in the case when p splits …