Results 21 to 30 of about 5,228,205 (65)
Functional equations for zeta functions of groups and rings [PDF]
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
core +1 more source
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Under the generalized Riemann hypothesis, we use Beurling–Selberg extremal functions to bound the mean and mean square of the argument of Dirichlet L$L$‐functions for a large prime modulus q$q$. As applications, we give alternative proofs of several results on low‐lying zeros of L(s,χ)$L(s,\chi)$ and obtain a new lower bound on the proportion ...
Tianyu Zhao
wiley +1 more source
Mating parabolic rational maps with Hecke groups
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract We prove that any degree d$d$ rational map having a parabolic fixed point of multiplier 1 with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group Hd+1$\mathcal {H}_{d+1}$, with the mating realised by an algebraic correspondence.
Shaun Bullett +3 more
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Linear law for the logarithms of the Riemann periods at simple critical zeta zeros [PDF]
, 2006 Each simple zero 1/2 + iγn of the Riemann zeta function on the critical line with γn > 0 is a center for the flow s˙ = ξ(s) of the Riemann xi function with an associated period Tn. It is shown that, as γn →∞, log Tn ≥ π/4 γn + O(log γn).
Barnett, A. Ross, Broughan, Kevin A.
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Rigid circle domains with non‐removable boundaries
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We give a negative answer to the rigidity conjecture of He and Schramm by constructing a rigid circle domain Ω$\Omega$ on the Riemann sphere Ĉ$\hat{\mathbb {C}}$ with conformally non‐removable boundary. Here, rigidity means that every conformal map from Ω$\Omega$ onto another circle domain is a Möbius transformation, and non‐removability ...
Kai Rajala
wiley +1 more source
Regularity of the SLE4 uniformizing map and the SLE8 trace
Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.Abstract We show that the modulus of continuity of the SLE4${\rm SLE}_4$ uniformizing map is given by (logδ−1)−1/3+o(1)$(\log \delta ^{-1})^{-1/3+o(1)}$ as δ→0$\delta \rightarrow 0$. As a consequence of our analysis, we show that the Jones–Smirnov conditions for conformal removability (with quasihyperbolic geodesics) do not hold for SLE4${\rm SLE}_4 ...
Konstantinos Kavvadias +2 more
wiley +1 more source
Exact sparse representation recovery in signal demixing and group BLASSO
Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 4, December 2024.Abstract In this short article we present the theory of sparse representations recovery in convex regularized optimization problems introduced in (Carioni and Del Grande, arxiv:2311.08072, 2023). We focus on the scenario where the unknowns belong to Banach spaces and measurements are taken in Hilbert spaces, exploring the properties of minimizers of ...
Marcello Carioni, Leonardo Del Grande
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The Calogero–Moser derivative nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 77, Issue 10, Page 4008-4062, October 2024.Abstract We study the Calogero–Moser derivative nonlinear Schrödinger NLS equation i∂tu+∂xxu+(D+|D|)(|u|2)u=0$$\begin{equation*} i\partial _t u +\partial _{xx} u + (D+|D|)(|u|^2) u =0 \end{equation*}$$posed on the Hardy–Sobolev space H+s(R)$H^s_+(\mathbb {R})$ with suitable s>0$s>0$.
Patrick Gérard, Enno Lenzmann
wiley +1 more source
Shift invariant subspaces in growth spaces and sets of finite entropy
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract We investigate shift invariant subspaces within the realm of analytic functions in the unit disc, whose radial growth is determined by a majorant w$w$. Our main result offers a complete characterization of the shift invariant subspaces generated by Nevanlinna class functions within the aforementioned class of growth spaces.
Adem Limani
wiley +1 more source