Let pp be an odd prime, and let aa be a rational pp-adic integer with a≢0(modp)a≡0(modp). In this paper, using WZ method we establish the congruences for ∑k=0p−1(ak)2(−1)k(1−2ak)∑k=0p−1(ka)2(−1)k(1−a2k) modulo p2p2 and ∑k=0p−1(ak)r(1−2ak)s∑k=0p−1(ka)r(1−a2k)s modulo p4p4, where r∈{3,4}r∈{3,4} and s∈{1,3}s∈{1,3}.
生成讲解博客的中文版本
生成AI智能校验的中文版本