Results 51 to 60 of about 835 (184)
Canonical forms of oriented matroids
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley +1 more source
Module structure of Weyl algebras
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
Periodic meromorphic functions
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.
openaire +2 more sources
A survey of moment bounds for ζ(s)$\zeta (s)$: From Heath‐Brown's work to the present
Abstract In this expository article, we review some of the ideas behind the work of Heath–Brown (D. R. Heath‐Brown, J. London Math. Soc., (2), 24, (1981), no. 1, 65–78) on upper and lower bounds for moments of the Riemann zeta‐function, as well as the impact this work had on subsequent developments in the field.
Alexandra Florea
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
doaj +1 more source
From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
Abstract This paper surveys the impact of Eremenko and Lyubich's paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhibiting behaviours previously unseen in ...
Núria Fagella, Leticia Pardo‐Simón
wiley +1 more source
A note on an extension of Lindelöf's theorem to meromorphic functions
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
Meromorphic Lipschitz functions [PDF]
Let f be a function meromorphic in D = {|z| < 1} and let X be the chordal distance on the Riemann sphere. Then f satisfies the Lipschitz conditionin D if and only if |f′(z)|/(1 + |f(z)|2) = O((1 – |z|)α−1) and |z| → 1.
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Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
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
doaj +1 more source

