Results 71 to 80 of about 702,417 (178)

The conjugacy problem for ascending HNN‐extensions of free groups

Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.
Abstract We give an algorithm to solve the Conjugacy Problem for ascending HNN‐extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.
Alan D. Logan
wiley   +1 more source

Correlations of the squares of the Riemann zeta function on the critical line

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract We compute the average of a product of two shifted squares of the Riemann zeta function on the critical line with shifts up to size T3/2−ε$T^{3/2-\varepsilon }$. We give an explicit expression for such an average and derive an approximate spectral expansion for the error term similar to Motohashi's.
Valeriya Kovaleva
wiley   +1 more source

Parity of ranks of Jacobians of curves

Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser, Holly Green, Alexandros Konstantinou, Adam Morgan   +3 more
wiley   +1 more source

Representations of toral automorphisms

Topology and its Applications, 2016
This survey gives an account of an algebraic construction of symbolic covers and representations of ergodic automorphisms of compact abelian groups, initiated by A.M. Vershik around 1992 for hyperbolic automorphisms of finite-dimensional tori. The key ingredient in this approach, which was subsequently extended to arbitrary expansive automorphisms of ...
openaire   +4 more sources

Weil type representations and automorphic forms [PDF]

Nagoya Mathematical Journal, 1980
During 1934-1936, W. L. Ferrar investigated the relation between summation formulae and Dirichlet series with functional equations, inspired by Voronoi’s works (1904) on summation formula with respect to the numbers of divisors. In [11] A. Weil showed that the automorphic properties of theta series are expressed by generalized Poisson summation ...
openaire   +3 more sources

On the Image of Automorphic Galois Representations

International Mathematics Research Notices
Abstract In this paper, we study extra-twists for automorphic representations of ${\textrm{GL}}_{n}$ and use them to give a precise description of the image of the Galois representations associated with regular algebraic cuspidal automorphic representations of ${\textrm{GL}}_{3}$ over totally real fields.
openaire   +2 more sources

Twists of Galois Representations and Projective Automorphisms

Journal of Number Theory, 1999
Let \(\mathcal O\) be a commutative, complete local ring with residue field \(k\) and maximal ideal \(\lambda\). Also, let \(K\) be a finite extension of the rationals \(\mathbb Q\). Write \(G_K:=\text{Gal}(\overline{K}/K)\) and let \(\rho_1,\rho_2:G_K\rightarrow GL_n(\mathcal O)\) be surjective, continuous Galois representations, unramified outside a ...
openaire   +2 more sources

A non-selfdual automorphic representation of GL3 and a Galois representation

Inventiones mathematicae, 1994
Given the congruence subgroup \(\Gamma_0 (N)\) of \(\text{SL}_2 (\mathbb Z)\) the first étale cohomology group \(H^1 (X_0 (N)_{\overline {\mathbb Q}}, \mathbb Q_\ell)\) of the associated modular curve \(X_0 (N)\) gives rise to a certain Galois representation (i.e.
van Greemen, Bert, Top, Jaap
openaire   +4 more sources

Unlikely intersections on the p-adic formal ball. [PDF]

Res Number Theory, 2023
Serban V.
europepmc   +1 more source

On strong multiplicity one for automorphic representations

Journal of Number Theory, 2003
We extend the strong multiplicity one theorem of Jacquet, Piatetski-Shapiro and Shalika. Let $π$ be a unitary, cuspidal, automorphic representation of $GL_n(\A_K)$. Let $S$ be a set of finite places of $K$, such that the sum $\sum_{v\in S}Nv^{-2/(n^2+1)}$ is convergent.
openaire   +3 more sources