Results 11 to 20 of about 508 (172)

Explicit calculations of automorphic forms for definite unitary groups [PDF]

, 2008
I give an algorithm for computing the full space of automorphic forms for definite unitary groups over Q, and apply this to calculate the automorphic forms of level G(^Z) and various small weights for an example of a rank 3 unitary group.
David Loeffler, Loeffler, David
core   +1 more source

On the computation of local components of a newform [PDF]

, 2011
The problem. Let f be a cuspidal newform for Γ1(N) with weight k ≥ 2 and character ε. There are well-established methods for computing such forms using modular symbols; see [Ste07].
Weinstein, Jared, David Loeffler, Loeffler, David, Jared Weinstein   +3 more
core   +1 more source

Level-Raising for GSp(4) [PDF]

, 2006
This thesis provides congruences between unstable and stable automorphic forms for the symplectic similitude group $GSp(4)$. More precisely, we raise the level of certain CAP representations $Pi$ of Saito-Kurokawa type, arising from classical modular ...
Sorensen, Claus Mazanti
core   +1 more source

A Burgess-like subconvex bound for twisted L-functions [PDF]

, 2007
Let g be a cuspidal newform (holomorphic or Maass) of arbitrary level and nebentypus, X a primitive character of conductor q, and s a point on the critical line Rs = 1/2.
Michel, Philippe, Blomer, Valentin, Mao, Z., Harcos, Gergely, Blomer, V., Michel, P., Harcos, G.   +6 more
core   +2 more sources

Hybrid bounds for twisted L-functions [PDF]

, 2008
The aim of this paper is to derive bounds on the critical line Rs 1/2 for L- functions attached to twists f circle times chi of a primitive cusp form f of level N and a primitive character modulo q that break convexity simultaneously in the s and q ...
Blomer, Valentin, Harcos, Gergely
core   +1 more source

Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]

, 2005
Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
core   +1 more source

Nonsolvable number fields ramified only at 3 and 5 [PDF]

, 2011
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, proving in the affirmative a conjecture of Gross.
Lassina Dembélé, Matthew Greenberg, Voight, John, Greenberg, Matthew, Dembélé, Lassina, John Voight   +5 more
core   +1 more source

Weil's converse theorem with poles [PDF]

, 2013
We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles.We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial ...
Andrew R. Booker, Booker, AR, M. Krishnamurthy, Krishnamurthy, M, Andrew R. Booker   +4 more
core   +1 more source

Green functions and arithmetic generating series on Hilbert modular surfaces [PDF]

, 2022
In this thesis we define and investigate two types of Green functions on Hilbert modular surfaces associated to real quadratic number fields. Both types possess logarithmic singularities along Hirzebruch-Zagier divisors.
Buck, Johannes J.
core   +1 more source

Congruence and non-congruence subgroups of the (2,3,7)-group [PDF]

, 2006
Let [DELTA] denote the (2,3,7)-group. We establish an upper bound for the number of congruence subgroups of index n and a lower bound for the total number of subgroups of index n.
Stothers, W.W.
core   +1 more source