Results 21 to 30 of about 356 (72)
On the Lang–Trotter conjecture for Siegel modular forms
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
Abstract To connect conformal field theories (CFTs) to probabilistic lattice models, recent works of Hongler et al. and Adame‐Carrillo have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete: they are built from random variables in the model.
David Adame‐Carrillo +2 more
wiley +1 more source
Algebraic surfaces and 4-manifolds: Some conjectures and speculations
Introduction. Since the time of Riemann, there has been a close interplay between the study of the geometry of complex algebraic curves (or, equivalently, compact Riemann surfaces) and the topology of 2-manifolds.
R. Friedman, J. Morgan
semanticscholar +1 more source
Analysis of a Viscoplastic Burgers Equation
ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
wiley +1 more source
Graphical Abstract Abstract Effective sediment management in reservoir–river coupled systems remains a global challenge due to the conflicting objectives of sediment evacuation from reservoirs and deposition reduction in downstream reaches. This study proposed a physics‐based modeling framework oriented to a reservoir–river coupled system, which ...
Junqiang Xia +7 more
wiley +1 more source
Stability of Blaschke products under forward iteration
Abstract Forward iteration of holomorphic self‐maps generalizes the iteration of a single function in a natural way. This framework arises in complex dynamics, for instance, in the study of wandering domains and in seeking suitable extensions of the Denjoy–Wolff theorem. Here, we consider forward iteration of Blaschke products.
Daniela Kraus +2 more
wiley +1 more source
The universal family of punctured Riemann surfaces is Stein
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley +1 more source
Remarks on the Uniform Approximation by Meromorphic Functions on a Non-compact Riemann Surface
application/pdf Bulletin of University of Osaka Prefecture. Series A, Engineering and natural sciences.
openaire
On the orbifold structure of the moduli space of Riemann surfaces of genera four and five
G. Bartolini +2 more
semanticscholar +2 more sources

