Results 61 to 70 of about 39,333 (245)
An Inequality of Meromorphic Vector Functions and Its Application
Abstract and Applied Analysis, 2011 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
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Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Mathematische Nachrichten, Volume 299, Issue 3, Page 496-513, March 2026.Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
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Simplification of exponential factors of irregular connections on P1${\mathbb {P}}^1$
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We give an explicit algorithm to reduce the ramification order of any exponential factor of an irregular connection on P1$\mathbb {P}^1$, using the same types of basic operations as in the Katz–Deligne–Arinkin algorithm for rigid irregular connections.
Jean Douçot
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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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Meromorphic Functions and Smooth Analytic Functions [PDF]
Proceedings of the American Mathematical Society, 1976 Meromorphic functions with many zeroes can have logarithmic derivatives that are relatively smooth. We prove this, with a new construction of smooth analytic functions with many zeroes. Our examples belong to the theory of differential fields of functions.
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Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
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Some results in the uniqueness of meromorphic function [PDF]
, 2021 XiaoHuang Huang
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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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The ∞$\infty$‐categorical reflection theorem and applications
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
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On the Growth of Wronskians Using their Relative Orders, Relative Types and Relative Weak Types
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 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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