Results 81 to 90 of about 10,733,006 (284)
A note on an extension of Lindelöf's theorem to meromorphic functions
International Journal of Mathematics and Mathematical Sciences, 1983 S. M. Shah [3] has given an extension of Lindelöf's Theorem to meromorphic functions. He also obtained an expression for the characteristic function of a meromorphic function of integer order.
Mohammad Salmassi
doaj +1 more source
Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$ in the level aspect. As applications, we obtain nonvanishing results as well as lower bounds of the expected order of magnitude for all even moments, supporting the random matrix model for a unitary ...
Valentin Blomer, Félicien Comtat
wiley +1 more source
Hermite-Padé approximation for certain systems of meromorphic functions [PDF]
, 2013 We study the convergence of sequences of type I and type II Hermite-Padé approximants for certain systems of meromorphic functions made up of rational modifications of Nikishin systems of functions. Bibliography: 32 titles.
Гиермо Лопес Лагомасино +5 more
semanticscholar +1 more source
Dynamics and zeta functions on conformally compact manifolds
, 2011 In this note, we study the dynamics and associated zeta functions of conformally compact manifolds with variable negative sectional curvatures. We begin with a discussion of a larger class of manifolds known as convex co-compact manifolds with variable ...
Rowlett, Julie +2 more
core +2 more sources
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We characterize a certain neck‐pinching degeneration of (marked) CP1$\mathbb {C}{\rm P}^1$‐structures on a closed oriented surface S$S$ of genus at least two. In a more general setting, we take a path of CP1$\mathbb {C}{\rm P}^1$‐structures Ct(t⩾0)$C_t \nobreakspace (t \geqslant 0)$ on S$S$ that leaves every compact subset in its deformation ...
Shinpei Baba
wiley +1 more source
RESULTS ON MEROMORPHIC FUNCTIONS SHARING THREE VALUES WITH THEIR DIFFERENCE OPERATORS
, 2015 Under the restriction of finite order, we prove two uniqueness theorems of nonconstant meromorphic functions sharing three values with their difference operators, which are counterparts of Theorem 2.1 in (6) for a finite-order meromorphic function and ...
Xiao-Min Li, H. Yi, Cong-Yun Kang
semanticscholar +1 more source
Uniqueness of meromorphic functions sharing two finite sets
Open Mathematics, 2017 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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The Mumford conjecture (after Bianchi)
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley +1 more source
Meromorphic Functions Sharing a Small Function [PDF]
Abstract and Applied Analysis, 2007 We will study meromorphic functions that share a small function, and prove the following result: letf(z)andg(z)be two transcendental meromorphic functions in the complex plane and letn≥11be a positive integer. Assume thata(z)(≢0)is a common small function with respect tof(z)andg(z). Iffnf′andgng′sharea(z)CM, then eitherfn(z)f′(z)gn(z)g′(z)≡a2(z), orf(z)
Wang, Songmin, Gao, Zongsheng
openaire +4 more sources
A Framework to Compute Resonances Arising from Multiple Scattering
Advanced Theory and Simulations, Volume 8, Issue 2, February 2025.Photonic resonances frequently arise from the interaction among multiple scatterers. It is shown how prior knowledge of such constituents can be used to compute resonances in nanophotonic systems efficiently. The introduced framework combines a multiple‐scattering formalism with the recently established AAA algorithm.
Jan David Fischbach +10 more
wiley +1 more source