Results 61 to 70 of about 36,756 (228)
Canonical forms of oriented matroids
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.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
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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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Module structure of Weyl algebras
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.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
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On the explicit solutions of the elliptic Calogero system
, 1999 Let $q_1,q_2,...,q_N$ be the coordinates of $N$ particles on the circle, interacting with the integrable potential $\sum_ ...
Gavrilov, L., Perelomov, A.
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Some results in the uniqueness of meromorphic function [PDF]
, 2021 XiaoHuang Huang
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A survey of moment bounds for ζ(s)$\zeta (s)$: From Heath‐Brown's work to the present
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this expository article, we review some of the ideas behind the work of Heath–Brown (D. R. Heath‐Brown, J. London Math. Soc., (2), 24, (1981), no. 1, 65–78) on upper and lower bounds for moments of the Riemann zeta‐function, as well as the impact this work had on subsequent developments in the field.
Alexandra Florea
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Meromorphic function fields closed by partial derivatives
, 2019 We characterize meromorphic function fields closed by partial derivatives in n ...
Abe, Yukitaka
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From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract This paper surveys the impact of Eremenko and Lyubich's paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhibiting behaviours previously unseen in ...
Núria Fagella, Leticia Pardo‐Simón
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Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\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
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Sets of Minimal Capacity and Extremal Domains [PDF]
, 2012 Let f be a function meromorphic in a neighborhood of infinity. The central problem in the present investigation is to find the largest domain D \subset C to which the function f can be extended in a meromorphic and singlevalued manner. 'Large' means here
Stahl, Herbert R
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