Results 71 to 80 of about 4,247 (224)
An Inequality of Meromorphic Vector Functions and Its Application
Firstly, an inequality for vector-valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar-valued function (1946).
Wu Zhaojun, Chen Yuxian
doaj +1 more source
Abstract Let F$F$ be a non‐Archimedean local field with odd characteristic p$p$. Let N$N$ be a positive integer and G=Sp2N(F)$G=\operatorname{Sp}_{2N}(F)$. By work of Lomelí on γ$\gamma$‐factors of pairs and converse theorems, a generic supercuspidal representation π$\pi$ of G$G$ has a transfer to a smooth irreducible representation Ππ$\Pi _\pi$ of ...
Corinne Blondel +2 more
wiley +1 more source
Determination of poles of sectionally meromorphic functions [PDF]
The numerical methods of Abd-Ellal, Delves and Reid for locating poles of meromorphic functions inside smooth closed contours C in the complex plane are generalized to apply to sectionally meromorphic functions satisfying a homogeneous or nonhomogeneous ...
Ioakimidis, N.I.
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Uniqueness of meromorphic functions sharing two finite sets
We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross.
Chen Jun-Fan
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
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Combinatorial zeta functions counting triangles
Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard +3 more
wiley +1 more source
On the Growth of Wronskians Using their Relative Orders, Relative Types and Relative Weak Types
In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their relative orders (relative lower orders), relative types and relative weak types of Wronskians generated by entire and meromorphic ...
Datta Sanjib Kumar +2 more
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Singularities of a class of meromorphic functions [PDF]
Estimates are obtained for the number of singular points, which are not poles, lying on the unit circle of the complex plane of a class of meromorphic functions which are represented by C -fractions.
Callas, Nicholas P., Thron, W. J.
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
On the Uniqueness Results and Value Distribution of Meromorphic Mappings
This research concentrates on the analysis of meromorphic mappings. We derived several important results for value distribution of specific difference polynomials of meromorphic mappings, which generalize the work of Laine and Yang.
Rahman Ullah +4 more
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