Results 71 to 80 of about 5,204 (224)
Random Diophantine equations in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley +1 more source
Page curves and entanglement islands for the step-function Vaidya model of evaporating black holes
Journal of High Energy Physics, 2023 It was proposed recently that the fine-grained entropy of the Hawking radiation can be expressed by the semiclassical island formula, which reproduces the unitary Page curve.
Chang-Zhong Guo +2 more
doaj +1 more source
Integral transforms of the Minkowski question mark function [PDF]
, 2008 The Minkowski question mark function F(x) arises as a real distribution function of rationals in the Farey (alias, Stern-Brocot or Calkin-Wilf) tree.
Alkauskas, Giedrius
core
Sections and projections of the outer and inner regularizations of a convex body
Mathematika, Volume 72, Issue 3, July 2026.Abstract We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its inner and outer regularizations. We also provide functional extensions of these inequalities to the setting of log‐concave functions. Our approach relies on the recent
Natalia Tziotziou
wiley +1 more source
Non-Gaussian Expansion of Minkowski Tensors in Redshift Space
The Astrophysical JournalThis paper focuses on extending the use of Minkowski tensors to analyze anisotropic signals in cosmological data, focusing on those introduced by redshift space distortions.
Stephen Appleby +4 more
doaj +1 more source
Minkowski space approach for the Bethe-Salpeter equation
EPJ Web of Conferences, 2017 The bound-state energy spectrum for two-boson system with a fixed exchanged massive boson is investigated by considering the scalar Bethe-Salpeter (BS) equation in Minkowski space within the ladder-approximation framework.
Tomio Lauro +2 more
doaj +1 more source
Billiards on pythagorean triples and their Minkowski functions
Discrete and Continuous Dynamical Systems, 2020 38 pages, 7 figures. Introduction rewritten, various stylistic improvements, mathematics unchanged.
openaire +3 more sources
Non-Gaussianity and Minkowski functionals: forecasts for Planck [PDF]
Monthly Notices of the Royal Astronomical Society, 2012 We study Minkowski Functionals as probes of primordial non-Gaussianity in the Cosmic Microwave Background, specifically for the estimate of the primordial `local' bi-spectrum parameter f_NL, with instrumental parameters which should be appropriate for the Planck experiment.
Ducout, A. +4 more
openaire +2 more sources
On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
Conformal partial wave expansion of celestial correlators
Journal of High Energy PhysicsA novel definition of holographic correlation functions on the celestial sphere of Minkowski space was recently introduced in [1] as the extrapolation of bulk time-ordered correlation functions to the celestial sphere.
Francesca Pacifico +2 more
doaj +1 more source