scholarly journals Subword balance, position indices and power sums

2010 ◽  
Vol 76 (8) ◽  
pp. 861-871 ◽  
Author(s):  
Arto Salomaa
Keyword(s):  
Power Sums ◽  
Balance Position

A concise proof of a theorem on products of power sums

1978 ◽  
Vol 6 (1) ◽  
pp. 11-17 ◽  
Author(s):  
P. S. Dwyer ◽  
N. N. Mikhail ◽  
D. S. Tracy
Keyword(s):  
Power Sums

scholarly journals IDENTITIES OF SYMMETRY FOR GENERALIZED TWISTED BERNOULLI POLYNOMIALS TWISTED BY RAMIFIED ROOTS OF UNITY

2014 ◽  
Vol 60 (1) ◽  
pp. 19-36
Author(s):  
Dae San Kim
Keyword(s):  
Generating Function ◽  
Bernoulli Polynomials ◽  
Roots Of Unity ◽  
Integral Expression ◽  
Power Sums ◽  
Exponential Generating Function

Abstract We derive eight identities of symmetry in three variables related to generalized twisted Bernoulli polynomials and generalized twisted power sums, both of which are twisted by ramified roots of unity. All of these are new, since there have been results only about identities of symmetry in two variables. The derivations of identities are based on the p-adic integral expression of the generating function for the generalized twisted Bernoulli polynomials and the quotient of p-adic integrals that can be expressed as the exponential generating function for the generalized twisted power sums.

scholarly journals Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials

2009 ◽  
Vol 2009 ◽  
pp. 1-8 ◽  
Author(s):  
Taekyun Kim ◽  
Seog-Hoon Rim ◽  
Byungje Lee
Keyword(s):  
Bernoulli Polynomials ◽  
Bernoulli Numbers ◽  
Bernoulli Numbers And Polynomials ◽  
Power Sums ◽  
Invariant Integral ◽  
Generalized Bernoulli Polynomials ◽  
Symmetric Properties

By the properties ofp-adic invariant integral onℤp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties ofp-adic invariant integral onℤp, we give some interesting relationship between the power sums and the generalized Bernoulli polynomials.

scholarly journals Derivation Power Sums of Even Integer Number Formula

2013 ◽  
Vol 10 (2) ◽  
pp. 301-318
Author(s):  
Baghdad Science Journal
Keyword(s):  
Programming Language ◽  
Computer Programming ◽  
Integer Number ◽  
Power Sums ◽  
Derivative Method ◽  
Number Formula ◽  
Microsoft Office ◽  
The Relationship

This paper included derivative method for the even r power sums of even integer numbers formula to approach high even (r+2) power sums of even integer numbers formula so on we can approach from derivative odd r power sums of even integer numbers formula to high odd (r+2) power sums of even integer numbers formula this derivative excellence have ability to used by computer programming language or any application like Microsoft Office Excel. Also this research discovered the relationship between r power sums of even integer numbers formula and both formulas for same power sums of odd integer numbers formula and for r power sums of all integer numbers formula in another way.

scholarly journals On a Positivity Conjecture in the Character Table of $S_n$

10.37236/8186 ◽  
2019 ◽  
Vol 26 (1) ◽  
Author(s):  
Sheila Sundaram
Keyword(s):  
Lexicographic Order ◽  
Character Table ◽  
Power Sums ◽  
Special Cases ◽  
Schur Positive

In previous work of this author it was conjectured that the sum of power sums $p_\lambda,$ for partitions $\lambda$ ranging over an interval $[(1^n), \mu]$ in reverse lexicographic order, is Schur-positive. Here we investigate this conjecture and establish its truth in the following special cases: for $\mu\in [(n-4,1^4), (n)]$  or $\mu\in [(1^n), (3,1^{n-3})], $ or $\mu=(3, 2^k, 1^r)$ when $k\geq 1$ and $0\leq r\leq 2.$  Many new Schur positivity questions are presented.

scholarly journals A Study on Development of the Casino Industry for the 21st Century

1995 ◽  
Vol 10 (0) ◽  
pp. 185-200
Author(s):  
Boo-Pil Kang
Keyword(s):  
21St Century ◽  
Trade Balance ◽  
Olympic Games ◽  
Tourism Industry ◽  
Casino Industry ◽  
Export Industry ◽  
Balance Position ◽  
The World ◽  
Overseas Travel ◽  
The Government

The tourism industry has greatly contributed to the strengthening of the trade balance position of Korea as much as the export industry itself ever since 1975 when the former was designated as one of Korea's main strategic industries. However, the tourism industry, which registered the highest surplus of US 2,000 million in 1988, the year Korea hosted the Olympic Games, has declined since 1989 when the overseas travel of Koreans was completely liberalized. In 1992, the tourism industry showed a deficit of US$ 360 million. It is anticipated that the deficit in the tourism industry will further increase. To cope with the threatened decline in the revenue of the tourism industry, the government has been contemplating special measures to boost Korea's share in the world tourism market of US$ 230 billion per year.

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