Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Alan G. B. Lauder"'
Autor:
Jan Vonk, Alan G. B. Lauder
Publikováno v:
Mathematics of Computation
We describe an algorithm for computing p p -adic L-functions of characters of totally real fields, using the Fourier expansions of diagonal restrictions of Hilbert modular forms.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bcee84e8f1a9b3e539149c18e622ca0
https://doi.org/10.1090/mcom/3678
https://doi.org/10.1090/mcom/3678
Autor:
Henri Darmon, Alan G. B. Lauder
In the early 90’s, Perrin-Riou (Ann Inst Fourier 43(4):945–995, 1993) introduced an important refinement of the Mazur–Swinnerton-Dyer p-adic L-function of an elliptic curve E over $$\mathbb {Q}$$ , taking values in its p-adic de Rham cohomology
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cef9e4aef5748d3f92e67e589214f7b
https://ora.ox.ac.uk/objects/uuid:39dba4ab-3cf1-4dab-8239-f56bf46c9aa7
https://ora.ox.ac.uk/objects/uuid:39dba4ab-3cf1-4dab-8239-f56bf46c9aa7
Autor:
Alan G. B. Lauder, Kevin Buzzard
We report on a computation of holomorphic cuspidal modular forms of weight one and small level (currently level at most $1500$) and classification of them according to the projective image of their attached Artin representations. The data we have gat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99a7dde01ff4505995871fe8d6e093ff
https://ora.ox.ac.uk/objects/uuid:b7c84fd1-0941-4574-bd5f-201d15b42f78
https://ora.ox.ac.uk/objects/uuid:b7c84fd1-0941-4574-bd5f-201d15b42f78
Autor:
Alan G. B. Lauder
We present a polynomial-time algorithm for computing the zeta function of a smooth projective hypersurface of degree d over a finite field of characteristic p, under the assumption that p is a suitably small odd prime and does not divide d. This impr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::857356d2ab0b6c14b65548bdecd00209
https://ora.ox.ac.uk/objects/uuid:d9ebcd3e-d700-49ad-86ca-e4a1a1bdaf1d
https://ora.ox.ac.uk/objects/uuid:d9ebcd3e-d700-49ad-86ca-e4a1a1bdaf1d
Autor:
Alan G. B. Lauder
We present a practical polynomial-time algorithm for computing the zeta function of a Kummer curve over a finite field of small characteristic. Such algorithms have recently been obtained using a method of Kedlaya based upon Monsky-Washnitzer cohomol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87e661ee7216ce549555d46eb36950a4
https://doi.org/10.1007/s10208-002-0066-6
https://doi.org/10.1007/s10208-002-0066-6
A deterministic polynomial time algorithm is presented for finding the distinct-degree factorization of multivariate polynomials over finite fields. As a consequence, one can count the number of irreducible factors of polynomials over finite fields i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dda4118961e711392c81308cf6c7b659
https://doi.org/10.1016/j.jsc.2004.05.004
https://doi.org/10.1016/j.jsc.2004.05.004
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Let$E$be an elliptic curve over$\mathbb{Q}$, and let${\it\varrho}_{\flat }$and${\it\varrho}_{\sharp }$be odd two-dimensional Artin representations for which${\it\varrho}_{\flat }\otimes {\it\varrho}_{\sharp }$is self-dual. The progress on modularity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5709d9eb8d8b1c9097401080c649e1a
https://doi.org/10.1017/fmp.2015.7
https://doi.org/10.1017/fmp.2015.7
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
This article examines the Fourier expansions of certain non-classical p-adic modular forms of weight one: the eponymous generalised eigenforms of the title, so called because they lie in a generalised eigenspace for the Hecke operators. When this gen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8ac64e94732c49bf789eabd43ae58f3
http://hdl.handle.net/2117/78762
http://hdl.handle.net/2117/78762
Autor:
Alan G. B. Lauder
Publikováno v:
LMS Journal of Computation and Mathematics. 9:222-269
We present a method for computing the zeta function of a smooth projective variety over a finite field which proceeds by induction on the dimension. We have implemented our approach for some surfaces using the Magma programming language, and present
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::647e3c58f6203429c4fa83f9a6487a67
https://doi.org/10.1112/s1461157000001261
https://doi.org/10.1112/s1461157000001261
Autor:
Alan G. B. Lauder
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 17:169-180
Je presente quelques algorithmes pour calculer la fonction zeta d'une variete algebrique sur un corps fini qui sont bases sur la cohomologie rigide. Deux methodes distinctes sont elaborees a l'aide d'un exemple.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33c84bf267406a7071b2c04ee7b68520
https://doi.org/10.5802/jtnb.484
https://doi.org/10.5802/jtnb.484