AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a prime p. They bear interesting similarities with known evaluations for the corresponding infinite series
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
We prove congruences, modulo a power of a prime p, for certain finite sums involving central binomia...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
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...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
We prove congruences, modulo a power of a prime p, for certain finite sums involving central binomia...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
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...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...
Let $p$ be a prime, and let $d\in\{0,...,p^a\}$ with $a\in\Z^+$. In this paper we determine $\sum_{k...