Results 51 to 60 of about 66,497 (169)
Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary +2 more
wiley +1 more source
Orthogonal polynomial expansions for the Riemann xi function in the Hermite, Meixner--Pollaczek, and continuous Hahn bases [PDF]
, 2021 Dan Romik
openalex +1 more source
On Nontrivial Zeros of Riemann Zeta Function
, 2018 Let {\Xi} be a function relating to the Riemann zeta function with . In this paper, we construct a function containing and {\Xi} , and prove that satisfies a nonadjoint boundary value problem to a nonsingular differential equation if is any nontrivial ...
Niu, Pengcheng
core
The Hall Effects of Vortex Light in Optical Materials
Advanced Photonics Research, Volume 6, Issue 10, October 2025.This article models optical materials as curved spacetime to investigate light propagation, finding that the deflection angle for light with spin σ and intrinsic orbital angular momentum ℓ follows ϑ ∝ 2σ + ℓ$\vartheta \propto 2 \text{&sgr; } + ℓ$.
Wei‐Si Qiu +3 more
wiley +1 more source
, 2018 The function $G(z) = \int_0^\infty \xi^{z-1}(1+\exp(\xi))^{-1} \, d\xi$ is analytic and has the same zeros as the Riemann zeta function in the critical strip $D = \{z \in {\mathbf C} : 0 < \Re z < 1\}$.
Stenger, Frank
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Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
On a solution to a functional equation
, 2018 We offer a solution to a functional equation using properties of the Mellin transform. A new criteria for the Riemann Hypothesis is offered as an application of our main result, through a functional relationship with the Riemann xi ...
Patkowski, Alexander E
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Journal of Advances in Modeling Earth Systems, Volume 17, Issue 10, October 2025.Abstract Global numerical modeling is advancing into the era of kilometer‐scale, non‐hydrostatic simulations, while heterogeneous computing emerges as a pivotal trend in high‐performance computing (HPC). As a strong candidate for next‐generation global kilometer‐scale general circulation models, the A‐grid dynamical core based on the Low Mach number ...
Weikang Zhang, Xi Chen
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Studies in Applied Mathematics, Volume 155, Issue 4, October 2025.ABSTRACT Motivated by previous results in special cases associated with Ricci flows, all possible two‐components evolutions systems of (1+2)‐dimensional second‐order partial differential equations (PDEs) admitting an infinite‐dimensional Lie algebra are constructed. It is shown that a natural generalization of this Lie algebra to the higher‐dimensional
Roman Cherniha, John R. King
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