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A Note On Sums Of Powers Which Have A Fixed Number Of Prime Factors
Sums of powers Numbers with $k$ prime factors
2008/7/3
A Note On Sums Of Powers Which Have A Fixed Number Of Prime Factors.
Corrigendum to "On Short Sums of Certain Multiplicative Functions"
Corrigendum Short sums Integer points
2008/7/2
Corrigendum to "On Short Sums of Certain Multiplicative Functions".
Inequalities for Chains of Normalized Symmetric Sums
Symmetric inequalities Cyclic inequalities Inequalities for sums
2008/7/1
Inequalities for Chains of Normalized Symmetric Sums.
L'Hospital Type Rules for Monotonicity: Applications to Probability Inequalities for Sums of Bounded Random Variables
L'Hospital's Rule Monotonicity Probability inequalities Sums of independent random variables Student's statistic
2008/7/1
This paper continues a series of results begun by a l'Hospital type rule for monotonicity, which is used here to obtain refinements of the Eaton-Pinelis inequalities for sums of bounded independent ra...
Matrix Equalities and Inequalities Involving Khatri-Rao and Tracy-Singh Sums
Kronecker product (sum) Hadamard product (sum) Khatri-Rao product (sum) Tracy-Singh product (sum) Positive (semi)definite matrix Unitarily invariant norm Spectral norm P-norm Moore-Penrose inverse
2008/6/30
The Khatri-Rao and Tracy-Singh products for partitioned matrices are viewed as generalized Hadamard and generalized Kronecker products, respectively. We define the Khatri-Rao and Tracy-Singh sums for ...
Neighbourhoods and Partial Sums of Starlike Functions Based on Ruscheweyh Derivatives
Univalent Starlike Convex
2008/6/30
Neighbourhoods and Partial Sums of Starlike Functions Based on Ruscheweyh Derivatives.
Partial Sums Of Certain Meromorphic $p-$Valent Functions
Partial sums Meromorphic $p$-valent starlike functions Meromorphic $p$-valent convex functions
2008/6/27
In this paper we establish some results concerning the partial sums of meromorphic p-valent starlike functions and meromorphic p-valent convex functions.
On Short Sums of Certain Multiplicative Functions
Multiplicative Functions Short Sums Integer points close to a curve
2008/6/27
We use the recent theory of integer points close to a smooth curve developed by Huxley-Sargos and Filaseta-Trifonov to get an asymptotic formula for short sums of a class of multiplicative functions. ...
Partial Sums Of Certain Meromorphic Functions
Partial sums Meromorphic starlike functions Meromorphic convex functions Meromorphic close-to-convex functions Integral operators
2008/6/27
The purpose of the present paper is to establish some results concerning the partial sums of meromorphic starlike and meromorphic convex functions analogous to the results due to H. Silverman [J. Math...
Partial Sums of Functions of Bounded Turning
Partial Sums Bounded Turning Libera Integral Operator
2008/6/27
We determine conditions under which the partial sums of the Libera integral operator of functions of bounded turning are also of bounded turning.
Partial Sums of Some Meromorphic Functions
Partial sums Meromorphic functions Integral operators Meromorphic starlike functions Meromorphic convex functions Meromorphic close to convex functions
2008/6/27
In the present paper we give some results concerning partial sums of certain meromorphic functions.We also consider the partial sums of certain integral operator.
Inequalities of Maximum of Partial Sums and Weak Convergence for a Class Weak Dependent Random Variables
$\rho^{-}$-mixing $\rho^{*}$-mixing NA rosenthal type inequalities weak convergence
2007/12/12
In this paper, we establish a Rosenthal-type inequality of the maximum of partial sums for $\rho^{-}$-mixing random fields. As its applications we get the H\'{a}jeck--R\`{e}nyi inequality and weak con...
Sums of five Almost Equal Prime Squares
2007/12/12
In this paper we sharpen Hua's result by proving that each sufficiently large integer $N$ congruent to 5 modulo 24 can be written as $$N=p_1^2+p_2^2+p_3^2+p_4^2+p_5^2, \mbox{ with } |p_j-\sqrt{N/5}| \...
Precise Large Deviations for Sums of Negatively Associated Random Variables with Common Dominatedly Varying Tails
negatively associated dominatedly varying tail precise large deviation
2007/12/12
In this paper, we obtain results on precise large deviations for non-random and random sums of negatively associated nonnegative random variables with common dominatedly varying tail distribution func...
On the Fourth Power Mean of the Character Sums Over Short Intervals
character sums short intervals fourth power mean asymptotic formula
2007/12/11
The main purpose of this paper is to study the mean value properties of the character sums over the interval $\left[1, \frac{p}{8}\right)$ by using the mean value theorems of the Dirichlet L-functions...