AbstractLucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ. J. Combinatorics,11(1990), 229–233) extended Lucas' theorem to a prime power modulus. Making use of their result, we count the number of times each residue class occurs in thenth row of Pascal's triangle (mod 8). Our results correct and extend those of Granville (Amer. Math. Monthly,99(1992), 318–331)
AbstractIn 1878 Lucas established a method of computing binomial coefficients modulo a prime. We est...
Abstract. In 1947 Fine obtained an expression for the number ap(n) of bi-nomial coefficients on row ...
We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. The...
Lucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ. ...
Lucas ’ theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ....
AbstractLucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb ...
In this thesis, Pascal\u27s Triangle modulo n will be explored for n prime and n a prime power. Usin...
In this thesis, Pascal\u27s Triangle modulo n will be explored for n prime and n a prime power. Usin...
In this thesis, Pascal\u27s Triangle modulo n will be explored for n prime and n a prime power. Usin...
In this thesis, Pascal\u27s Triangle modulo n will be explored for n prime and n a prime power. Usin...
AbstractThe extension of Pascal's triangle by defining binomial coefficients (rn) for all integers n...
summary:The primality of numbers, or of a number constellation, will be determined from residue solu...
We give elementary proofs of some congruence criteria to compute binomial coefficients in modulo a p...
AbstractFor p prime and . A parallel, but rather different congruence holds modulo p3
Looking at Pascal\u27s Triangle there are many patterns that arise and phenomena that happen. Consid...
AbstractIn 1878 Lucas established a method of computing binomial coefficients modulo a prime. We est...
Abstract. In 1947 Fine obtained an expression for the number ap(n) of bi-nomial coefficients on row ...
We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. The...
Lucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ. ...
Lucas ’ theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ....
AbstractLucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb ...
In this thesis, Pascal\u27s Triangle modulo n will be explored for n prime and n a prime power. Usin...
In this thesis, Pascal\u27s Triangle modulo n will be explored for n prime and n a prime power. Usin...
In this thesis, Pascal\u27s Triangle modulo n will be explored for n prime and n a prime power. Usin...
In this thesis, Pascal\u27s Triangle modulo n will be explored for n prime and n a prime power. Usin...
AbstractThe extension of Pascal's triangle by defining binomial coefficients (rn) for all integers n...
summary:The primality of numbers, or of a number constellation, will be determined from residue solu...
We give elementary proofs of some congruence criteria to compute binomial coefficients in modulo a p...
AbstractFor p prime and . A parallel, but rather different congruence holds modulo p3
Looking at Pascal\u27s Triangle there are many patterns that arise and phenomena that happen. Consid...
AbstractIn 1878 Lucas established a method of computing binomial coefficients modulo a prime. We est...
Abstract. In 1947 Fine obtained an expression for the number ap(n) of bi-nomial coefficients on row ...
We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. The...
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