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math.NT2015
Sums of Quadratic residues and nonresidues
Christian Aebi, Grant Cairns
It is well known that when a prime is congruent to 1 modulo 4, the sum of the quadratic residues equals the sum of the quadratic nonresidues. In this note we give analogous res…
math.NT2015
Wolstenholme again
Christian Aebi, Grant Cairns
We give an elementary and self-contained proof of the equivalence of a collection of Wolstenholme-type congruences due to Helou and Terjanian.