Results 61 to 70 of about 1,163,634 (140)

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

Generalization of Gaussian Mersenne numbers and their new families

Mathematics and Computer Science
In this article, we present the generalized Gaussian Mersenne numbers with arbitrary initial values and discuss two particular cases, namely, Gaussian Mersenne and Gaussian Mersenne-Lucas numbers.
M. Kumari, K. Pasad, J. Tanti
semanticscholar   +1 more source

The Romantic Discovery of Radiolaria in the Ocean

Journal of Eukaryotic Microbiology, Volume 73, Issue 1, January/February 2026.
ABSTRACT Radiolaria are unicellular marine organisms (protists) that have been drifting in oceanic plankton for hundreds of millions of years. These mineral architects can build extraordinarily complex skeletons, which fascinated and puzzled naturalists observing water samples through rudimentary microscopes.
Johan Decelle
wiley   +1 more source

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül, James F. Peters, Ömür Deveci, Ivan Giorgio   +3 more
wiley   +1 more source

RELATIONSHIPS ON MULTIDIMENSIONAL EXTENSIONS OF ONE-ZERO NUMBERS

Revista Sergipana de Matemática e Educação Matemática
In this paper, we define multidimensional version of One-Zero sequence and look for analogous characterizations with the classic unidimensional sequence.
E. Costa, D. C. Santos, P. Catarino
semanticscholar   +1 more source

On a Sharp Fractional Integrals Inequality

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper establishes a new class of sharp trapezoidal‐type inequalities for absolutely continuous functions whose derivatives belong to L2([a, b]). By employing the generalized Chebyshev functional and the framework of Riemann–Liouville fractional integrals, we derive an identity that characterizes the difference between the average of function ...
Mohsen Rostamian Delavar, Mohsen Kian, Shikha Binwal   +2 more
wiley   +1 more source

Leonardo Numbers and their Bicomplex Extension

Nepal Journal of Mathematical Sciences
This paper introduces a new type of Leonardo numbers, referred to as bicomplex Leonardoi numbers. Also, some important relations, including the generating function, Binet's formula, D'Ocagne's identity, Cassini’s identity, and Catalan’s identity ...
M. Jaiswal, N. Pahari, Purushottam Parajuli   +2 more
semanticscholar   +1 more source

Generalization of the 2-Fibonacci sequences and their Binet formula

Notes on Number Theory and Discrete Mathematics
We will explore the generalization of the four different 2-Fibonacci sequences defined by Atanassov. In particular, we will define recurrence relations to generate each part of a 2-Fibonacci sequence, discuss the generating function and Binet formula of each of these sequences, and provide the necessary and sufficient conditions to obtain each type of ...
Timmy Ma, Richard Vernon, Gurdial Arora
openaire   +1 more source

Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence

Ratio Mathematica
One of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan, Devbhadra V Shah, Vandana R Patel   +2 more
doaj   +1 more source

A generalization of the Binet-Minc formula for the evaluation of permanents

Linear Algebra and its Applications, 1988
The author presents a formula which coincides with the Binet-Minc formula for the evaluation of the permanent of the matrix \((a_{ij})\) which is presented in the polynomial \(\prod^{n}_{i=1}(\sum^{m}_{j=1}a_{ij}x_ j)\) where this formula is considered for the sum of the coefficients of monomials of the form \(x^{j_ 1}_{\ell_ 1}...x^{j_ p}_{\ell_ p ...
openaire   +2 more sources