Add to ORKGpk(1 − p)n−k denote the binomial mass function (pmf), and let po(k;λ) = λke−λ/k! denote the Poisson pmf. For fixed λ> 0, defin
A famous conjecture of Parkin-Shanks predicts that p(n) is odd with density 1/2. Despite the remarka...
Abstract. Much is known about binomial coefficients where primes are con-cerned, but considerably le...
1. Pólya and Turán conjectures. The Liouville function λ(n) is defined as (−1)Ω(n) where Ω(n) is t...
Consider two non-negative integer-valued r.v.'s X,Y with X=>Y. Suppose that the conditional distribu...
[[abstract]]We propose a modified model of the binomial distribution of order k and obtain its proba...
We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an int...
P versus NP is considered as one of the most important open problems in computer science. This consi...
If a coin that comes up heads with probability p is tossed n times, the number of heads observed fol...
Let qm = P(X ≤ m), where m is a positive integer and X a binomial random variable with parameters n...
In this paper I conjecture that for any pair of twin primes p and p + 2 there exist an odd positive ...
In this paper I introduced a new Probability mass function (Pmf) that is named as Pavan’s Pmf then u...
Abstract. The material of the article is devoted to the most complicated and interesting problem — a...
Let p be given, 0 < p < 1. Let n and k be positive integers such that np ≤ k ≤ n, ...
AbstractTwo conjectures of Su and Wang (2008) concerning binomial coefficients are proved. For n⩾k⩾0...
AbstractFor p prime and . A parallel, but rather different congruence holds modulo p3
A famous conjecture of Parkin-Shanks predicts that p(n) is odd with density 1/2. Despite the remarka...
Abstract. Much is known about binomial coefficients where primes are con-cerned, but considerably le...
1. Pólya and Turán conjectures. The Liouville function λ(n) is defined as (−1)Ω(n) where Ω(n) is t...
Consider two non-negative integer-valued r.v.'s X,Y with X=>Y. Suppose that the conditional distribu...
[[abstract]]We propose a modified model of the binomial distribution of order k and obtain its proba...
We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an int...
P versus NP is considered as one of the most important open problems in computer science. This consi...
If a coin that comes up heads with probability p is tossed n times, the number of heads observed fol...
Let qm = P(X ≤ m), where m is a positive integer and X a binomial random variable with parameters n...
In this paper I conjecture that for any pair of twin primes p and p + 2 there exist an odd positive ...
In this paper I introduced a new Probability mass function (Pmf) that is named as Pavan’s Pmf then u...
Abstract. The material of the article is devoted to the most complicated and interesting problem — a...
Let p be given, 0 < p < 1. Let n and k be positive integers such that np ≤ k ≤ n, ...
AbstractTwo conjectures of Su and Wang (2008) concerning binomial coefficients are proved. For n⩾k⩾0...
AbstractFor p prime and . A parallel, but rather different congruence holds modulo p3
A famous conjecture of Parkin-Shanks predicts that p(n) is odd with density 1/2. Despite the remarka...
Abstract. Much is known about binomial coefficients where primes are con-cerned, but considerably le...
1. Pólya and Turán conjectures. The Liouville function λ(n) is defined as (−1)Ω(n) where Ω(n) is t...