Results 61 to 70 of about 1,892 (123)
Fractional Gaussian Noise: Spectral Density and Estimation Methods
Journal of Time Series Analysis, Volume 46, Issue 6, Page 1146-1174, November 2025.The fractional Brownian motion (fBm) process, governed by a fractional parameter H∈(0,1)$$ H\in \left(0,1\right) $$, is a continuous‐time Gaussian process with its increment being the fractional Gaussian noise (fGn). This article first provides a computationally feasible expression for the spectral density of fGn.
Shuping Shi, Jun Yu, Chen Zhang
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The geometry and arithmetic of bielliptic Picard curves
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
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Safe Continual Learning in Model Predictive Control With Prescribed Bounds on the Tracking Error
International Journal of Robust and Nonlinear Control, Volume 35, Issue 13, Page 5569-5582, 10 September 2025.ABSTRACT We develop a three‐component Model Predictive Control (MPC) algorithm to achieve output‐reference tracking with prescribed performance for continuous‐time nonlinear systems. One component is the so‐called funnel MPC, which achieves reference tracking with prescribed performance for the model output for suitable models.
Lukas Lanza +3 more
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A generalized limit theorem for the periodic Hurwitz zeta-function
Chebyshevskii sbornik, 2019 The paper deals with the periodic Hurwitz zeta function \(\zeta (s,a,\{ a_{n} \} )=\sum _{n=0}^{\infty }\frac{a_{n} }{(n+a)^{s} } \), \(a>0,\; Res>1\), where \(\{ a_{n} \} \)is a periodic sequence. The author proves a generalized limit theorem for this function.
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Combinations of $L$-functions and Their Non-coincident Zeros for $\sigma>1$
, 2020 The purpose of this note is to build upon work of Booker--Thorne and Righetti concerning zeros of algebraic combinations of $L$-functions. Namely, we show that two generic combinations of functions from a wide class of Euler products have non-coincident ...
Kirila, Scott
core
Irrationality of some p-adic L-values
, 2006 We give a proof of the irrationality of the $p$-adic zeta-values $\zeta_p(k)$ for $p=2,3$ and $k=2,3$. Such results were recently obtained by F.Calegari as an application of overconvergent $p$-adic modular forms.
Beukers, F.
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Asymptotic Analysis of Regular Sequences. [PDF]
Algorithmica, 2020 Heuberger C, Krenn D.
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Joint universality for periodic Hurwitz zeta-functions
, 2009 Magistro darbe yra nagrinėjamas Hurvico dzeta funkcijų rinkinio jungtinis universalumas. Yra įrodytos dvi jungtinės universalumo teoremos. Pirmoji teorema tvirtina, kad jei aibė L yra tiesiškai nepriklausoma virš racionaliųjų skaičių kūno, tai periodinės Hurvico dzeta funkcijos yra universalios. Ši teorema žymiai susilpnina sąlygas, kurioms esant, buvo
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The values of zeta functions composed by the Hurwitz and periodic zeta functions at integers
Aequationes mathematicaeAbstract For $$s \in {\mathbb {C}}$$ s ∈ C
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The mixed joint functional independence of the Riemann zeta-and periodic Hurwitz zeta-functions
Чебышевский сборник, 2016 The functional independence of zeta-functions is an interesting nowadays problem. This problem comes back to D. Hilbert. In 1900, at the International Congress of Mathematicians in Paris, he conjectured that the Riemman zeta-function does not satisfy any algebraic-differential equation. This conjecture was solved by A. Ostrowski. In 1975, S.M.
KAˇCINSKAIT˙E ROMA +1 more
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