## DEDICATED TO DOMINIQUE FOATA ON THE OCCASION OF HIS 65TH BIRTHDAY Some new identities for Schur functions are proved. In particular, we settle in Ε½ the affirmative a recent conjecture of M.
A Schur Function Identity
β Scribed by Markus Fulmek
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 174 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
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Proctor defined combinatorially a family of Laurent Polynomials, called odd Ε½ . symplectic Schur functions, indexed by pairs , c , where is partition and c is a Ε½ . column length of . A conjecture of Proctor InΒ¨ent. Math. 92, 1988, 307α332 includes the statement that the odd symplectic Schur functio
In 1992, C. Spiro [7] showed that if f is a multiplicative function such that f (1)=1 and such that f ( p+q)= f ( p)+ f (q) for all primes p and q, then f(n)=n for all integers n 1. Here we prove the following: for all primes p and integers m 1, (1) then f (n)=n for all integers n 1. Proof. First