Results 21 to 30 of about 182 (33)

Perfect forms over totally real number fields [PDF]

open access: yes, 2009
A rational positive-definite quadratic form is perfect if it can be reconstructed from the knowledge of its minimal nonzero value m and the finite set of integral vectors v such that f(v) = m.
Gunnells, Paul E., Yasaki, Dan
core   +2 more sources

On lower bounds for cohomology growth in p-adic analytic towers

open access: yes, 2013
Let p and l be two distinct prime numbers and let G be a group. We study the asymptotic behaviour of the mod-l Betti numbers in p-adic analytic towers of finite index subgroups.
Kionke, Steffen
core   +1 more source

Modular forms and elliptic curves over the field of fifth roots of unity [PDF]

open access: yes, 2010
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of elliptic curves over F.Comment: Added appendix by Mark Watkins, who found an elliptic curve missing from our ...
Gunnells, Paul E.   +2 more
core   +2 more sources

On the special values of certain Rankin-Selberg L-functions and applications to odd symmetric power L-functions of modular forms

open access: yes, 2010
We prove an algebraicity result for the central critical value of certain Rankin–Selberg L-functions for GLn × GLn−1. This is a generalization and refinement of the results of Harder [14], Kazhdan, Mazur, and Schmidt [23], and Mahnkopf [29].
Raghuram, A.
core   +1 more source

Denominators of Eisenstein cohomology classes for GL_2 over imaginary quadratic fields

open access: yes, 2006
We study the arithmetic of Eisenstein cohomology classes (in the sense of G. Harder) for symmetric spaces associated to GL_2 over imaginary quadratic fields.
A. Fröhlich   +30 more
core   +4 more sources

Modular forms and elliptic curves over the cubic field of discriminant -23

open access: yes, 2012
Let F be the cubic field of discriminant -23 and let O be its ring of integers. By explicitly computing cohomology of congruence subgroups of GL(2,O), we computationally investigate modularity of elliptic curves over F.Comment: Incorporated referee's ...
Gunnells, Paul E., Yasaki, Dan
core  

A table of elliptic curves over the cubic field of discriminant -23

open access: yes, 2014
Let F be the cubic field of discriminant -23 and O its ring of integers. Let Gamma be the arithmetic group GL_2 (O), and for any ideal n subset O let Gamma_0 (n) be the congruence subgroup of level n.
Donnelly, Steve   +3 more
core  

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