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On transcendental entire solution of Fermat-type trinomial and binomial equations under restricted hyper-order [PDF]
, 2023 In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee, Abhijit, Sarkar, Jhuma
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Open MathematicsIn this paper, we consider the entire solutions of the system of Fermat type differential-difference equations with k-th order derivatives(0.1)w1(k)(z)2+p1w2(z+c)2=Q1(z),w2(k)(z)2+p2w1(z+c)2=Q2(z), $$\begin{cases} {\left({w}_{1}^{\left(k\right)}\left(z ...
Zhang Ran-Ran +2 more
doaj +1 more source
Protein Science, Volume 35, Issue 7, July 2026.Abstract Cellulosomes are multi‐enzyme assemblies whose catalytic efficiency depends on the spatial organization of their components. However, their pronounced conformational flexibility has precluded quantitative characterization of inter‐enzyme distances and overall topology.
Iker Pardo Larrabeiti +11 more
wiley +1 more source
Generalized Pell-Fermat equations and Pascal triangle
, 2021 Using Pascal triangle, we give a simple generalization to a well-known problem of S.Ramanujan. Thus we are interested in computing the median of some integer valued distributions, arising naturally when extending arithmetic progressions to progressions ...
Gandolfo, Daniel, Rouleux, Michel, L.
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Approximate Ricci‐Flat Metrics for Calabi–Yau Manifolds
Fortschritte der Physik, Volume 74, Issue 7, July 2026.ABSTRACT We outline a method to determine analytic Kähler potentials with associated approximately Ricci‐flat Kähler metrics on Calabi–Yau manifolds. Key ingredients are numerically calculating Ricci‐flat Kähler potentials via machine learning techniques and fitting the numerical results to Donaldson's ansatz.
Seung‐Joo Lee, Andre Lukas
wiley +1 more source
On the fixed‐point proportion of self‐similar groups
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that super strongly fractal groups acting on regular rooted trees have null fixed‐point proportion. In particular, we show that the fixed‐point proportion of an infinite family of iterated monodromy groups of exceptional complex polynomials has the same property.
Jorge Fariña‐Asategui, Santiago Radi
wiley +1 more source
Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
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Annales Mathematicae SilesianaeIn this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
doaj +1 more source
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
Seismic imaging of the critical zone of dolerite dykes at Cap Fréhel in Brittany (France)
Near Surface Geophysics, Volume 24, Issue 3, Page 262-288, June 2026.Abstract In June 2023, we measured ten near‐surface seismic profiles to image the critical zone of dolerite (diabase) dykes that cut the sandstone at Cap Fréhel in Brittany (France). Seismic ray tracing and inversion are used to determine the thickness of the regolith layer from first‐arrival P‐wave traveltimes.
M. Zillmer +4 more
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