Results 91 to 100 of about 10,211,419 (281)
Chebotarov Continua, Jenkins–Strebel Differentials and Related Problems: A Numerical Approach
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We detail a numerical algorithm and related code to construct rational quadratic differentials on the Riemann sphere that satisfy the Boutroux condition. These differentials, in special cases, provide solutions of (generalized) Chebotarov problem as well as being instances of Jenkins–Strebel differentials.
M. Bertola
wiley +1 more source
A canonical system of differential equations arising from the Riemann zeta-function [PDF]
, 2016 This paper has two main results, which relate to a criteria for the Riemann hypothesis via the family of functions $\Theta_\omega(z)=\xi(1/2-\omega-iz)/\xi(1/2+\omega-iz)$, where $\omega>0$ is a real parameter and $\xi(s)$ is the Riemann xi-function. The
Suzuki, Masatoshi
core
Effective upper bounds on the number of resonances in potential scattering
Mathematika, Volume 71, Issue 1, January 2025.Abstract We prove upper bounds on the number of resonances and eigenvalues of Schrödinger operators −Δ+V$-\Delta +V$ with complex‐valued potentials, where d⩾3$d\geqslant 3$ is odd. The novel feature of our upper bounds is that they are effective, in the sense that they only depend on an exponentially weighted norm of V.
Jean‐Claude Cuenin
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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Fractal and FractionalIn this paper, we defined a new family of meromorphic functions whose analytic characterization was motivated by the definition of the multiplicative derivative.
Daniel Breaz +2 more
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On $L^*$-proximate order of meromorphic function [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper we introduce the notion of $L^{* }$-proximate order of meromorphic function and prove its existence.
Sanjib Datta, Tanmay Biswas
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Lower bounds for the large deviations of Selberg's central limit theorem
Mathematika, Volume 71, Issue 1, January 2025.Abstract Let δ>0$\delta >0$ and σ=12+δlogT$\sigma =\frac{1}{2}+\tfrac{\delta }{\log T}$. We prove that, for any α>0$\alpha >0$ and V∼αloglogT$V\sim \alpha \log \log T$ as T→∞$T\rightarrow \infty$, 1Tmeas{t∈[T,2T]:log|ζ(σ+iτ)|>V}⩾Cα(δ)∫V∞e−y2/loglogTπloglogTdy,$$\begin{align*} &\frac{1}{T}\text{meas}\big \lbrace t\in [T,2T]: \log |\zeta (\sigma +{\rm i}\
Louis‐Pierre Arguin, Emma Bailey
wiley +1 more source
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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Acta Universitatis Sapientiae: Mathematica, 2018 Making use of a meromorphic analogue of the Cho-Kwon-Srivastava operator for normalized analytic functions, we introduce below a new class of meromorphic multivalent function in the punctured unit disk and obtain certain sufficient conditions for ...
Mohapatra S. K., Panigrahi T.
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Algebro-Geometric Solutions of the Coupled Chaffee-Infante Reaction Diffusion Hierarchy
Advances in Mathematical Physics, 2021 The coupled Chaffee-Infante reaction diffusion (CCIRD) hierarchy associated with a 3×3 matrix spectral problem is derived by using two sets of the Lenard recursion gradients.
Chao Yue, Tiecheng Xia
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