AbstractLet p = kf + 1 be a prime. In this paper we study congruences for binomial coefficients of the form (sfrf) where 0 < s < r ≤ k. The principal tools are the p-adic gamma function and the Gross-Koblitz formula. In the cases where k = 3, 4, and 6, we obtain some explicit formulas
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
Let q > 1 and m > 0 be relatively prime integers. We find an explicit period v(m)(q) such that for a...
AbstractLet p = kf + 1 be a prime. In this paper we study congruences for binomial coefficients of t...
AbstractIn this paper we will prove some congruences of the form ampr ≡ A· ampr−1 mod p2r where p is...
Recently the first author proved a congruence proposed in 2006 by Adamchuk: Sigma([2p/3])(k=1) (2k k...
Recently the first author proved a congruence proposed in 2006 by Adamchuk: Sigma([2p/3])(k=1) (2k k...
Recently the first author proved a congruence proposed in 2006 by Adamchuk: Sigma([2p/3])(k=1) (2k k...
Recently the first author proved a congruence proposed in 2006 by Adamchuk: Sigma([2p/3])(k=1) (2k k...
In this paper we establish some new congruences involving central binomial coefficients as well as C...
In this paper we establish some new congruences involving central binomial coefficients as well as C...
In this paper we establish some new congruences involving central binomial coefficients as well as C...
Abstract. We present several elementary theorems, observations and ques-tions related to the theme o...
AbstractWe present several elementary theorems, observations and questions related to the theme of c...
We prove congruences, modulo a power of a prime p, for certain finite sums involving central binomia...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
Let q > 1 and m > 0 be relatively prime integers. We find an explicit period v(m)(q) such that for a...
AbstractLet p = kf + 1 be a prime. In this paper we study congruences for binomial coefficients of t...
AbstractIn this paper we will prove some congruences of the form ampr ≡ A· ampr−1 mod p2r where p is...
Recently the first author proved a congruence proposed in 2006 by Adamchuk: Sigma([2p/3])(k=1) (2k k...
Recently the first author proved a congruence proposed in 2006 by Adamchuk: Sigma([2p/3])(k=1) (2k k...
Recently the first author proved a congruence proposed in 2006 by Adamchuk: Sigma([2p/3])(k=1) (2k k...
Recently the first author proved a congruence proposed in 2006 by Adamchuk: Sigma([2p/3])(k=1) (2k k...
In this paper we establish some new congruences involving central binomial coefficients as well as C...
In this paper we establish some new congruences involving central binomial coefficients as well as C...
In this paper we establish some new congruences involving central binomial coefficients as well as C...
Abstract. We present several elementary theorems, observations and ques-tions related to the theme o...
AbstractWe present several elementary theorems, observations and questions related to the theme of c...
We prove congruences, modulo a power of a prime p, for certain finite sums involving central binomia...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
Let q > 1 and m > 0 be relatively prime integers. We find an explicit period v(m)(q) such that for a...
DOI
Add to ORKG