Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 8 of 8 for “"p-adic L-functions"”.
-
p-adic L-functions of automorphic forms
… at places above p and ∞) we construct a p-adic L-function which interpolates the complex (Jacquet-Langlands) L-function at the central critical point. This is a generalization of a construction by Spieß over totally real fields. It seems well-suited to generalize his proof of the …
-
On Selmer groups and factoring p-adic L-functions
… restriction of a 3-variable Rankin-Selberg p-adic L-function as a product of a 2-variable p-adic L-function related to the adjoint representation of a Hida family and a Kubota-Leopoldt p-adic L-function. We prove a result involving Selmer groups that along with Dasgupta's result is consistent …
-
p-adic L-functions and the Geometry of Hida Families
<p><br />A major theme in the theory of $p$-adic deformations of automorphic forms is how $p$-adic $L$-functions over eigenvarieties relate to the geometry of these eigenvarieties. In this talk we explain results in this vein for the ordinary part of the eigencurve (i.e. Hida families). We address …
-
P-adic L-functions for elliptic curves over CM fields
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1983
-
Zeros of P-Adic L-Functions and Densities Relating to Bernoulli Numbers
… p < 125,000 it is known that the corresponding p-adic L-function L(,p)(s,(chi)(,i)) of Kubota and Leopoldt has a unique zero ('i)(kappa) in the p-adic integers. For every irregular pair (p,i) with p < 1000, several p-adic places of ('i)(kappa) are calculated using a p-adic Newton's method and the …
-
Iwasawa theory for modular forms at supersingular primes
… Q with a_p=0, which asserts that Pollack's p-adic L-functions generate the characteristic ideals of some \pm-Selmer groups which are cotorsion over the Iwasawa algebra \Lambda=Zp[[Zp]]. We begin by studying the p-adic Hodge theory for the p-adic representation associated to f in the case when …
-
Iwasawa theory over solvable three-dimensional p-adic Lie extensions
… objects (motives) and the special values of L-functions. A precise form of this relationship is neatly encoded in the so-called "Iwasawa Main Conjecture". Classically the Main Conjecture (as formulated by Iwasawa himself) involved the behaviour of ideal class groups over cyclotomic …