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Arithmetic Properties of Overpartition Pairs
overpartition pairs rank of overpartition pairs congruence sum of squares
2014/6/3
Bringmann and Lovejoy introduced a rank for overpartition pairs and investigated its role in congruence properties of , the number of overpartition pairs of n. In particular, they applied the theory ...
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means
Euclidean norm arithmetic-geometric-harmonic mean
2010/9/25
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means.
Partitions of Zn into Arithmetic Progressions
Kaplansky number cycle dissection m-AP-partition separation algorithm
2014/6/3
We introduce the notion of arithmetic progression blocks or AP-blocks of Zn, which can be represented as sequences of the form (x, x+m, x+2m,..., x+(i-1)m) (mod n). Then we consider the problem of par...
An Explicit Mertens' Type Inequality for Arithmetic Progressions
Mertens' formula Arithmetic progressions Mean values of Dirichlet $L-$functions
2008/7/3
An Explicit Mertens' Type Inequality for Arithmetic Progressions.
An Inequality Between Compositions of Weighted Arithmetic and Geometric Means
Weighted averages Carleman's inequality Convexity Induction
2008/7/2
An Inequality Between Compositions of Weighted Arithmetic and Geometric Means.
On Hadamard Type Inequalities For Generalized Weighted Quasi-Arithmetic Means
Integral mean Hadamard's inequality Generalized weighted quasi-arithmetic mean Convex functions
2008/6/30
Abstract: In the present paper we establish some integral inequalities analogous to the well-known Hadamard inequality for a class of generalized weighted quasi-arithmetic means in integral fo...
On the Composition of Some Arithmetic Functions, II
Arithmetic functions Makowski-Schinzel conjuncture Sándor's conjuncture Inequalities
2008/6/27
On the Composition of Some Arithmetic Functions, II.
On Inequalities for Hypergeometric Analogues of the Arithmetic-Geometric Mean
Arithmetic-geometric mean Hypergeometric function Power mean.
2008/6/27
In this note, we present sharp inequalities relating hypergeometric analogues of the arithmetic-geometric mean discussed in [5] and the power mean. The main result generalizes the corresponding sharp ...
When Lagrangean and Quasi-Arithmetic Means Coincide
Mean Lagrangean mean Quasi-arithmetic mean Jensen equation Convexity
2008/6/26
We give a complete characterization of functions generating the same Lagrangean mean and quasi-arithmetic mean . We also solve the equation imposing some additional conditions on and 。
Absolute bounds on the mean of sum, product, max, and min: A probabilistic extension of interval arithmetic
interval computations partial information about probabilities
2010/9/15
Absolute bounds on the mean of sum, product, max, and min: A probabilistic extension of interval arithmetic.