Az Eszterházy Károly Tanárképző Főiskola Tudományos Közleményei. 1994. Sectio Mathematicae. (Acta Academiae Paedagogicae Agriensis : Nova series ; Tom. 22)

GRYTCZUK, A., On a theorem of G. Baron and A. Schinzel

On a theorem of G. Baron and A. Schinzel 129 Corollary. Let X{ be residues mod p from reduced system such that for i / j

, Xi ^ Xj

, then (10) Sk,a = 0 (mod p) if p-l\k. PROOF. Let (7k = + x% + • • • 4- then by Eisenstein's result (Cf.

[2],p.

95) we have a

k = 0 (mod p) if p - lf k. From this fact and (2) we obtain (10) and the proof is complété. Référé ne e [1] G. BARON and A. SCHINZEL, An extension of Wilson's theorem, C. R. Math. Rep. Acad. Sei. Canad

, Vol. 1, No 2 (1979), 115-118. [2] L. E. DICKSON, History of the Theory of Numbers, Vol. I. repr. by Chelsea. (1952). [3] Ch. SNYDER, Kummer congruences for the coefficients of Huiwitz sériés, Acta Arith

., XL (1982), 175-191.