Results 31 to 40 of about 10,952,690 (356)
Mean values of multiplicative functions over function fields [PDF]
Research in Number Theory, 2015 We discuss the mean values of multiplicative functions over function fields. In particular, we adapt the authors’ new proof of Halász’s theorem on mean values to this simpler setting.
A. Granville +2 more
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IEEE Transactions on Automatic Control, 2021 This article is concerned with the exponential mean-square stabilization problem for a class of discrete-time strict-feedback nonlinear systems subject to multiplicative noises.
Min Wang +3 more
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Multiple Gamma Functions and Multiple $q$-Gamma Functions
Publications of the Research Institute for Mathematical Sciences, 1997 We give an asymptotic expansion ( the higher Stirling formula ) and an infinite product representation ( the Weierstrass canonical product representation ) of the Vigneras multiple gamma functions by considering the classical limit of the multiple q
Ueno, Kimio, Nishizawa, Michitomo
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Multiple rotation function [PDF]
Acta Crystallographica Section A Foundations of Crystallography, 2002 A simultaneous analysis of several rotation functions allows identification of the model orientation in situations when a single rotation function fails to find the answer. Multiple rotation functions can be obtained by the usual modification of the search model or by variation of the resolution at which the function is calculated. A specially suitable
Alexandre, Urzhumtsev +1 more
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Some characterizations of specially multiplicative functions
International Journal of Mathematics and Mathematical Sciences, 2003 A multiplicative function f is said to be specially multiplicative if there is a completely multiplicative function fA such that f(m)f(n)=∑d|(m,n)f(mn/d2)fA(d) for all m and n.
Pentti Haukkanen
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Modeling the Dirichlet distribution using multiplicative functions
Nonlinear Analysis, 2020 For q,m,n,d ∈ N and some multiplicative function f > 0, we denote by T3(n) the sum of f(d) over the ordered triples (q,m,d) with qmd = n. We prove that Cesaro mean of distribution functions defined by means of T3 uniformly converges to the one-parameter ...
Gintautas Bareikis, Algirdas Mačiulis
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Learning Optimal Controllers for Linear Systems With Multiplicative Noise via Policy Gradient
IEEE Transactions on Automatic Control, 2021 The linear quadratic regulator (LQR) problem has reemerged as an important theoretical benchmark for reinforcement learning-based control of complex dynamical systems with continuous state and action spaces.
Benjamin J. Gravell +2 more
semanticscholar +1 more source
Multiplicative functions and Ramanujan's τ-function [PDF]
Journal of the Australian Mathematical Society, 1981 AbstractIt is proved that (|τ(n)|n−11/2)δ has a mean-value for 0 <δ > < 2, where τ(n) is Ramanujan's function from modular arithmetic. Some further results are conjectured.
P. D. T. A. Elliott
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The real field with an irrational power function and a dense multiplicative subgroup [PDF]
, 2008 This paper provides a first example of a model theoretically well behaved structure consisting of a proper o-minimal expansion of the real field and a dense multiplicative subgroup of finite rank.
Hieronymi, Philipp
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Correlations of multiplicative functions and applications [PDF]
, 2016 We give an asymptotic formula for correlations \[ \sum_{n\le x}f_1(P_1(n))f_2(P_2(n))\cdot \dots \cdot f_m(P_m(n))\] where $f\dots,f_m$ are bounded "pretentious" multiplicative functions, under certain natural hypotheses. We then deduce several desirable
Brüdern +12 more
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