## A transformation formula is given for the generalized hypergeometric function in series of similar functions. It is also shown how easily this formula, can be applied to deduce various classes of summ&tion theorems for multiple hypergeometric series. The main results ( 12), ( 15) and ( 18) belo
A character sum evaluation and Gaussian hypergeometric series
β Scribed by J Greene; D Stanton
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 530 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
&163 ). We want to calculate the character sum where ( } Γp) is the Legendre symbol. We show that it is enough to calculate the sum for a finite number of primes and this has been done.
A combinatorial interpretation involving semistandard tableaux is provided for a four parameter terminating sum identity for the basic hypergeometric series 6q~5. This identity is first produced by taking the principal specialization of a tensor product identity for two GL(n) characters.
Fidelity is the most fundamental notion of the Braun-Blanquet school of phytocoenology. It can be applied to all non-phenotypic taxa and to all syntaxa irrespective of their rank. This holds both for faithful and for differential taxa. In the latter case the range of syntaxa within which the taxon i
We prove an estimate of character sums. This bound and the method of solving multiplicative ternary problems are used to obtain new results about the cardinality of an exceptional set of a congruence problem modulo a prime p. In particular, we show that "almost all" residue classes modulo p are repr
## Abstract A new method has been proposed for calculating the Gaussian matrix elements of the interaction operator represented by an arbitrary degree of interelectron distance __X__. The method is based on the expansion of twoβelectron integrals as the sum of oneβelectron integrals which in turn a