Results 61 to 70 of about 31,711 (201)
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
wiley +1 more source
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
wiley +1 more source
Phases and geometry of the N=1 A_2 quiver gauge theory and matrix models
, 2003 We study the phases and geometry of the N=1 A_2 quiver gauge theory using matrix models and a generalized Konishi anomaly. We consider the theory both in the Coulomb and Higgs phases.
A partial list is: N. Dorey +42 more
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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
wiley +1 more source
Meromorphy of the rank one unit root L-function revisited [PDF]
, 2013 We demonstrate that Wan's alternate description of Dwork's unit root L-function in the rank one case may be modified to give a proof of meromorphy that is classical, eliminating the need to study sequences of uniform meromorphic functions.Comment: 9 ...
Haessig, C. Douglas
core
Some uniqueness results related to the Br\"{u}ck Conjecture
, 2018 Let f be a non-constant meromorphic function and a = a(z) be a small function of f. Under certain essential conditions, we obtained similar type conclusion of Bruck Conjecture, when f and its differential polynomial P[f] shares a with weight l.
Chakraborty, Bikash
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Periodic meromorphic functions
Acta Mathematica, 1991 On caractérise comme suit les sous-groupes additifs \(\Gamma\) de \({\mathbb{C}}^ n\) pour lesquels il existe une fonction F méromorphe sur \({\mathbb{C}}^ n\) dont les périodes forment un groupe discret \(\supset \Gamma:\) il faut et il suffit qu'il existe sur \({\mathbb{C}}^ n\) une forme hermitienne définie \(>0\) dont la partie imaginaire prenne ...
Capocasa, F., Catanese, F.
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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
wiley +1 more source
Meromorphic functions with linearly distributed values and Julia sets of rational functions
, 2008 If the preimage of a four-point set under a meromorphic function belongs to the real line, then the image of the real line is contained in a circle in the Riemann sphere.
Bergweiler, Walter, Eremenko, Alexandre
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