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Congruences of Multipartition Functions Modulo Powers of Primes
modular form partition multipartition Ramanujan-type congruence
2014/6/3
Let pr(n) denote the number of r-component multipartitions of n, and let Sγ λ be the space spanned by η(24z)γφ(24z), where η(z) is the Dedekind’s eta function and η(z) is a holomorphic modular form i...
On the explicit powers and the inverse of one type of band Toeplitz matrices
Toeplitz matrices Chebyshev polynomials
2010/9/25
We derive the general expression of the powers of one type of banded Toeplitz matrices.
On Powers of Some Power Series
Powers Power Series
2010/11/9
We show that the compositions of positive integers may be interpreted in terms of powers of some power series, over arbitrary commutative ring. As consequences, several closed formulas for the composi...
We transform the problem of finding the sum of powers of integers into a geo-
metrical problem. For this, units are represented by unit cubes in n-dimensional
Euclidean spaces and the sums are found...
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.
Inequalities on Linear Functions and Circular Powers
Binary Sequences Fibonacci Numbers Linear Forms Inequalities
2008/7/1
Inequalities on Linear Functions and Circular Powers.
Inequalities Related to Rearrangements of Powers and Symmetric Polynomials
Symmetric Polynomials Permutations Inequalities
2008/7/1
Inequalities Related to Rearrangements of Powers and Symmetric Polynomials.
Powers of Class $wF(p,r,q)$ Operators.