Asymptotic formulae concerning arithmetical functions defined by cross-convolutions. VI: --free integers.
On a class of arithmetic convolutions involving arbitrary sets of integers.
Remarks on generalized Ramanujan sums and even functions.
On the bi-unitary analogues of Euler's arithmetical function and the gcd-sum function.
A survey of gcd-sum functions.
Extremal orders of compositions of certain arithmetical functions.
The unitary analogue of Pillai's arithmetical function.
A generalization of Pillai's arithmetical function involving regular convolutions
Über die dichteste Kreislagerung und dünnste Kreisüberdeckung.
On certain arithmetic functions involving the greatest common divisor
The paper deals with asymptotics for a class of arithmetic functions which describe the value distribution of the greatest-common-divisor function. Typically, they are generated by a Dirichlet series whose analytic behavior is determined by the factor ζ2(s)ζ(2s − 1). Furthermore, multivariate generalizations are considered.
On naive Bayes in speech recognition
The currently dominant speech recognition technology, hidden Mar-kov modeling, has long been criticized for its simplistic assumptions about speech, and especially for the naive Bayes combination rule inherent in it. Many sophisticated alternative models have been suggested over the last decade. These, however, have demonstrated only modest improvements and brought no paradigm shift in technology. The goal of this paper is to examine why HMM performs so well in spite of its incorrect bias due to...
Page 1