Define the Apéry polynomial of degree n by A n (x) = n k=0 n k 2 n + k k 2. We determine p−1 k=0 (−1) k A k (1/4) and p−1 k=0 (−1) k A k (1/16) modulo a prime p > 3. Let b and c be integers and let the generalized trinomial coefficient T n (b, c) be the coefficient of x n in the expansion of (x 2 +bx+c) n. We establish the following new congruence p−1 k=0 T k (b, c) 2 (b 2 − 4c) k ≡ c(b 2 − 4c)...

in line with an investigation regarding to evaluation of the compatibility of the asian pear cultivars with iran climatic conditions – currently being carried out at the horticultural department of tarbiyat modares university (tmu) – the present preliminary study was performed in two regions in isfahan. asian pear (pyrus serotina rehd.) cultivars (grafted on european pear seedling rootstocks) w...