Results 61 to 70 of about 39,291 (187)
On the Measurement of Ocean Acidity With Ambient Sound
Journal of Geophysical Research: Oceans, Volume 130, Issue 10, October 2025.Abstract The volume‐integrated pH of seawater can be determined from the frequency and depth dependence of wind‐generated ambient noise in the ocean. Over the 1–10 kHz frequency band, three main processes contribute to the acoustic attenuation in seawater: the chemical relaxation of boric acid and magnesium carbonate (<3 kHz, related to pH) and of ...
Ernst M. Uzhansky +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
Weighted Bergman kernel functions associated to meromorphic functions [PDF]
, 2013 We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on a planar domain with weight the modulus squared of a meromorphic function in the case that the meromorphic function has a finite number of zeros on the ...
Jacobson, Robert
core
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
Fractional moments of L$L$‐functions and sums of two squares in short intervals
Mathematika, Volume 71, Issue 4, October 2025.Abstract Let b(n)=1$b(n)=1$ if n$n$ is the sum of two perfect squares, and b(n)=0$b(n)=0$ otherwise. We study the variance of B(x)=∑n⩽xb(n)$B(x)=\sum _{n\leqslant x}b(n)$ in short intervals by relating the variance with the second moment of the generating function f(s)=∑n=1∞b(n)n−s$f(s)=\sum _{n=1}^{\infty } b(n)n^{-s}$ along Re(s)=1/2$\mathrm{Re}(s)=1/
Siegfred Baluyot, Steven M. Gonek
wiley +1 more source
Upper bounds for moments of Dirichlet L$L$‐functions to a fixed modulus
Mathematika, Volume 71, Issue 4, October 2025.Abstract We study the 2kth$2k{\rm th}$ moment of central values of the family of Dirichlet L$L$‐functions to a fixed prime modulus and establish sharp upper bounds for all real k∈[0,2]$k \in [0,2]$.
Peng Gao, Liangyi Zhao
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
wiley +1 more source
From pseudo-holomorphic functions to the associated real manifold
, 2016 This paper studies first the differential inequalities that make it possible to build a global theory of pseudo-holomorphic functions in the case of one or several complex variables.
Esposito, Giampiero, Roychowdhury, Raju
core
Crossing estimates for the Ising model on general s‐embeddings
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We prove Russo–Seymour–Welsh‐type crossing estimates for the FK–Ising model on general s‐embeddings whose origami map has an asymptotic Lipschitz constant strictly smaller than 1, provided it satisfies a mild non‐degeneracy assumption. This result extends the work of Chelkak and provides a general framework to prove that the usual connection ...
Rémy Mahfouf
wiley +1 more source
On some class of holomorphie functions of several complex variables
Zeitschrift für Analysis und ihre Anwendungen, 1982 The aim of the paper is to generalize some well-known estimations for holomorphic functions of one complex variable to the case of several complex variables.
openaire +3 more sources