Scientific Research Publishing

On the Study of Binomial Theorem: Formulation of Conjecture for Odd Binomial Coefficients for Binomials with Indices of n = 2 r – 1, Where r∈Z-* ()

1 Institute of Teacher Education, Davao Del Norte State College, Panabo, Philippines. 2 Institute of Advanced Studies, Davao Del Norte State College, Panabo, Philippines. Much of the development in ...
JSTOR Daily

Binomial Coefficients and Jacobi Sums

Throughout this paper e denotes an integer ⩾ 3 and p a prime $\equiv 1 (\mod e)$. With f defined by p = ef + 1 and for integers r and s satisfying $1 \leqslant s < r \leqslant e - 1$, certain binomial ...
Scientific Research Publishing

Weisstein, E.W. (2002) Binomial Theorem. Wolfram MathWorld.

ABSTRACT: This paper presents the way to make expansion for the next form function: to the numerical series. The most widely used methods to solve this problem are Newtons Binomial Theorem and ...
JSTOR Daily

On the Greatest Common Divisor of Binomial Coefficients

https://doi.org/10.4169/amer.math.monthly.124.4.353 https://www.jstor.org/stable/10.4169/amer.math.monthly.124.4.353 Every binomial coefficient aficionado1 knows that ...