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Axioms, Volume 13, Issue 6

June 2024 - 78 articles

Cover Story: The Selberg trace formula is a celebrated theorem relating spectral theory, geometry and number theory. In its original form, it relates the spectrum of the Laplacian on a hyperbolic surface to lengths of closed geodesics on the surface. It can be viewed as a non-Abelian generalization of the Poisson summation formula in Fourier analysis. In this paper, we prove an analogue of this result for general linear groups of 3 by 3 matrices over finite fields by defining an analogue of the Poincare upper half plane for general linear groups over finite fields. We give explicit formulas for orbital sums defined by hyperbolic, elliptic and parabolic elements in the group. View this paper
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Articles (78)

  • Article
  • Open Access
11 Citations
1,559 Views
16 Pages

Inspection of a Time-Delayed Excited Damping Duffing Oscillator

  • Khalid Alluhydan,
  • Galal M. Moatimid,
  • T. S. Amer and
  • A. A. Galal

20 June 2024

This paper examines a time delay in position and velocity to minimize the nonlinear vibration of an excited Duffing oscillator (DO). This model is highly beneficial for capturing the nonlinear characteristics of many different applications in enginee...

  • Article
  • Open Access
1,133 Views
21 Pages

20 June 2024

In this manuscript, we prove numerous results concerning fixed points, common fixed points, coincidence points, coupled coincidence points, and coupled common fixed points for (ϕ,Ψ)-contractive mappings in the framework of partially ordered...

  • Article
  • Open Access
1 Citations
1,369 Views
23 Pages

20 June 2024

Simulating surface conditions by solving the wave equation of a sucker-rod string is the theoretical basis of a sucker-rod pumping system. To overcome the shortcomings of the conventional finite difference method and analytical solution, this work de...

  • Article
  • Open Access
5 Citations
1,203 Views
21 Pages

19 June 2024

In this study, an integral identity is given in order to present some Hermite–Hadamard–Mercer-type inequalities for functions whose powers of the absolute values of the third derivatives are convex. Several consequences and three applicat...

  • Article
  • Open Access
988 Views
11 Pages

19 June 2024

This paper concerns the 2D stochastic Ginzburg–Landau–Newell equations with a degenerate random forcing. We study the relationship between stationary distributions which correspond to the original and perturbed systems and then prove the...

  • Article
  • Open Access
20 Citations
1,664 Views
20 Pages

18 June 2024

Intuitionistic fuzzy (IF) β-minimal description operators can deal with noise data in the IF covering-based rough set theory. That is to say, they can be used to find data that we need in IF environments. For an IF β-covering approximation...

  • Article
  • Open Access
1 Citations
1,240 Views
11 Pages

A Characterization of Normal Injective and Normal Projective Hypermodules

  • Ergül Türkmen,
  • Burcu Nİşancı Türkmen and
  • Hashem Bordbar

18 June 2024

This study is motivated by the recently published papers on normal injective and normal projective hypermodules. We provide a new characterization of the normal injective and normal projective hypermodules by using the splitting of the short exact se...

  • Article
  • Open Access
1 Citations
1,220 Views
12 Pages

18 June 2024

This article considers arrowhead and diagonal-plus-rank-one matrices in Fn×n where F∈{R,C,H} and where H is a noncommutative algebra of quaternions. We provide unified formulas for fast determinants and inverses for considered matrices. Th...

  • Article
  • Open Access
2 Citations
2,216 Views
22 Pages

Generalization of Fermatean Fuzzy Set and Implementation of Fermatean Fuzzy PROMETHEE II Method for Decision Making via PROMETHEE GAIA

  • Revathy Aruchsamy,
  • Inthumathi Velusamy,
  • Krishnaprakash Sanmugavel,
  • Prasantha Bharathi Dhandapani and
  • Kavikumar Ramasamy

17 June 2024

The Fermatean fuzzy set, in contrast to other generalizations of fuzzy sets like PFS and IFS, has a wide range of acceptance for both MF and NMF. In light of this, the Fermatean fuzzy set performs as an efficient, flexible, and comprehensive represen...

  • Review
  • Open Access
1 Citations
1,288 Views
10 Pages

17 June 2024

In this paper, a survey of the most interesting conditions for the oscillation of all solutions to first-order linear differential equations with a retarded argument is presented in chronological order, especially in the case when well-known oscillat...

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Axioms - ISSN 2075-1680