Results 31 to 40 of about 5,734 (162)
Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
wiley +1 more source
Nevanlinna’s Five Values Theorem on Annuli
Mathematics, 2016 By using the second main theorem of the meromorphic function on annuli, we investigate the problem on two meromorphic functions partially sharing five or more values and obtain some theorems that improve and generalize the previous results given by Cao ...
Hong-Yan Xu, Hua Wang
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The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
Fractal and Fractional, 2023 Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil +5 more
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Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
wiley +1 more source
Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
wiley +1 more source
Value Distribution for a Class of Small Functions in the Unit Disk
International Journal of Mathematics and Mathematical Sciences, 2011 If 𝑓 is a meromorphic function in the complex plane, R. Nevanlinna noted that its characteristic function 𝑇(𝑟,𝑓) could be used to categorize 𝑓 according to its rate of growth as |𝑧|=𝑟→∞. Later H.
Paul A. Gunsul
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Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
wiley +1 more source
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
On real and imaginary roots of generalised Okamoto polynomials
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa–Satsuma equation, and showed that any of its members constitutes a partial‐rogue wave provided that an associated generalised Okamoto polynomial has no real roots or no imaginary roots.
Pieter Roffelsen, Alexander Stokes
wiley +1 more source
Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
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