Results 21 to 30 of about 1,505 (62)
Twisted conjugacy in soluble arithmetic groups
Mathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo +1 more
wiley +1 more source
Laurent expansions of meromorphic modular forms
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract In this paper, we study the Laurent coefficients of meromorphic modular forms at complex multiplication points by giving two approaches of computing them. The first is a generalization of the method of Rodriguez‐Villegas and Zagier, which expresses the Laurent coefficients as constant terms of a family of polynomials obtained through recursion.
Gabriele Bogo +2 more
wiley +1 more source
On Eisenstein series in $M_{2k}(\Gamma_0(N))$ and their applications
, 2018 Let $k,N \in \mathbb{N}$ with $N$ square-free and $k>1$. We prove an orthogonal relation and use this to compute the Fourier coefficients of the Eisenstein part of any $f(z) \in M_{2k}(\Gamma_0(N))$ in terms of sum of divisors function. In particular, if
Aygin, Zafer Selcuk
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The slice spectral sequence for a motivic analogue of the connective K(1)$K(1)$‐local sphere
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract We compute the 2‐adic effective slice spectral sequence (ESSS) for the motivic stable homotopy groups of L$L$, a motivic analogue of the connective K(1)$K(1)$‐local sphere over prime fields of characteristic not two. Together with the analogous computation over algebraically closed fields, this yields information about the motivic K(1)$K(1 ...
Hana Jia Kong, J. D. Quigley
wiley +1 more source
On tame ramification and centers of F$F$‐purity
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract We introduce a notion of tame ramification for general finite covers. When specialized to the separable case, it extends to higher dimensions the classical notion of tame ramification for Dedekind domains and curves and sits nicely in between other notions of tame ramification in arithmetic geometry. However, when applied to the Frobenius map,
Javier Carvajal‐Rojas, Anne Fayolle
wiley +1 more source
A discrete mean value of the Riemann zeta function
Mathematika, Volume 70, Issue 4, October 2024.Abstract In this work, we estimate the sum ∑0<ℑ(ρ)⩽Tζ(ρ+α)X(ρ)Y(1−ρ)$$\begin{align*} \sum _{0 < \Im (\rho) \leqslant T} \zeta (\rho +\alpha)X(\rho) Y(1\!-\! \rho) \end{align*}$$over the nontrivial zeros ρ$\rho$ of the Riemann zeta function where α$\alpha$ is a complex number with α≪1/logT$\alpha \ll 1/\log T$ and X(·)$X(\cdot)$ and Y(·)$Y(\cdot)$ are ...
Kübra Benli, Ertan Elma, Nathan Ng
wiley +1 more source
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract We define a class of associative algebras generalizing ‘clannish algebras’, as introduced by the second author, but also incorporating semilinear structure, like a skew polynomial ring. Clannish algebras generalize the well‐known ‘string algebras’ introduced by Butler and Ringel.
Raphael Bennett‐Tennenhaus +1 more
wiley +1 more source
A functorial approach to monomorphism categories II: Indecomposables
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract We investigate the (separated) monomorphism category mono(Q,Λ)$\operatorname{mono}(Q,\Lambda)$ of a quiver over an Artin algebra Λ$\Lambda$. We show that there exists an epivalence (called representation equivalence in the terminology of Auslander) from mono¯(Q,Λ)$\overline{\operatorname{mono}}(Q,\Lambda)$ to rep(Q,mod¯Λ)$\operatorname{rep}(Q,\
Nan Gao +3 more
wiley +1 more source
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley +1 more source
Transformation laws for generalized Dedekind sums associated to Fuchsian groups
, 2019 We establish transformation laws for generalized Dedekind sums associated to the Kronecker limit function of non-holomorphic Eisenstein series and their higher-order variants. These results apply to general Fuchsian groups of the first kind, and examples
Burrin, Claire +3 more
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