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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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Multiple functions of USP18 [PDF]
Cell Death & Disease, 2016 Since the discovery of the ubiquitin system and the description of its important role in the degradation of proteins, many studies have shown the importance of ubiquitin-specific peptidases (USPs). One special member of this family is the USP18 protein (formerly UBP43).
Honke, Nadine +4 more
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Multiplicative Square Functions
Revista Matemática Iberoamericana, 2004 We study regularity properties of a positive measure in the euclidean space in terms of two square functions which are the multiplicative analogues of the usual martingale square function and of the Lusin area function of a harmonic function.
González, María José, Nicolau, Artur
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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
Ueno, Kimio, Nishizawa, Michitomo
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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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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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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
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Bayes multiple decision functions
Electronic Journal of Statistics, 2013 This paper deals with the problem of simultaneously making many (M) binary decisions based on one realization of a random data matrix X. M is typically large and X will usually have M rows associated with each of the M decisions to make, but for each row the data may be low dimensional.
Wu, Wensong, Pena, Edsel A.
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Some characterizations of totients
International Journal of Mathematics and Mathematical Sciences, 1996 An arithmetical function is said to be a totient if it is the Dirichlet convolution between a completely multiplicative function and the inverse of a completely multiplicative function. Euler's phi-function is a famous example of a totient.
Pentti Haukkanen
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