Results 41 to 50 of about 891 (145)
Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$ in the level aspect. As applications, we obtain nonvanishing results as well as lower bounds of the expected order of magnitude for all even moments, supporting the random matrix model for a unitary ...
Valentin Blomer, Félicien Comtat
wiley +1 more source
From Kontsevich-Witten to linear Hodge integrals via Virasoro operators
, 2018 We give a proof of Alexandrov's conjecture on a formula connecting the Kontsevich-Witten and Hodge tau-functions using only the Virasoro operators. This formula has been confirmed up to an unknown constant factor.
Wang, Gehao
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Connectivity of Markoff mod‐p graphs and maximal divisors
Proceedings of the London Mathematical Society, Volume 130, Issue 2, February 2025.Abstract Markoff mod‐p$p$ graphs are conjectured to be connected for all primes p$p$. In this paper, we use results of Chen and Bourgain, Gamburd, and Sarnak to confirm the conjecture for all p>3.45·10392$p > 3.45\cdot 10^{392}$. We also provide a method that quickly verifies connectivity for many primes below this bound.
Jillian Eddy +4 more
wiley +1 more source
Engineering Reports, Volume 7, Issue 1, January 2025.Geometry of the problem. ABSTRACT The significance of this study is to understand the complex interplay between fluid flow and surface roughness. Modeling surface roughness adds a new dimension for examining fluid dynamics, which is essential for understanding phenomena like drag force, heat transfer, and mass transfer.
Hanumesh Vaidya +6 more
wiley +1 more source
Parameter Constraints and Real Structures in Quadratic Semicomplete Vector Fields on C3
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.It is a remarkable fact that among the known examples of quadratic semicomplete vector fields on C3, it is always possible to find linear coordinates where the corresponding vector field has all—or “almost all”—coefficients in the real numbers. Indeed, the coefficients are very often integral.
Daniel de la Rosa Gómez, Shikha Binwal
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Universal quadratic forms and Northcott property of infinite number fields
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We show that if a universal quadratic form exists over an infinite degree, totally real extension of the field of rationals Q$\mathbb {Q}$, then the set of totally positive integers in the extension does not have the Northcott property. In particular, this implies that no universal form exists over the compositum of all totally real Galois ...
Nicolas Daans +2 more
wiley +1 more source
A discrete mean value of the Riemann zeta function
Mathematika, Volume 70, Issue 4, October 2024.Abstract In this work, we estimate the sum ∑0<ℑ(ρ)⩽Tζ(ρ+α)X(ρ)Y(1−ρ)$$\begin{align*} \sum _{0 < \Im (\rho) \leqslant T} \zeta (\rho +\alpha)X(\rho) Y(1\!-\! \rho) \end{align*}$$over the nontrivial zeros ρ$\rho$ of the Riemann zeta function where α$\alpha$ is a complex number with α≪1/logT$\alpha \ll 1/\log T$ and X(·)$X(\cdot)$ and Y(·)$Y(\cdot)$ are ...
Kübra Benli, Ertan Elma, Nathan Ng
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Local limits in p$p$‐adic random matrix theory
Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.Abstract We study the distribution of singular numbers of products of certain classes of p$p$‐adic random matrices, as both the matrix size and number of products go to ∞$\infty$ simultaneously. In this limit, we prove convergence of the local statistics to a new random point configuration on Z$\mathbb {Z}$, defined explicitly in terms of certain ...
Roger Van Peski
wiley +1 more source
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
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On the prime factors of the iterates of the Ramanujan $\tau$--function [PDF]
, 2020 Florian Luca +2 more
openalex +1 more source