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math.NT2023
Beyond Wolstenholme's Theorem
Zubeyir Cinkir
Wolstenholme's type summations involve certain powers of all residues modulo some prime number . We first consider the sums of double or triple products of certain powers of…
math.NT2023
An extension of Lucas Theorem
Zubeyir Cinkir, Aysegul Ozturkalan
We give elementary proofs of some congruence criteria to compute binomial coefficients in modulo a prime. These criteria are analogues to the symmetry property of binomial coeffici…