An Improvement on Olson's Constant for Z_p+Z_p

Gautami Bhowmik (1) , Jan-Christoph Schlage-Puchta (2)

1 LPP - Laboratoire Paul Painlevé - UMR 8524
2 Mathematisches institut

For a prime number p greater than 6000, the Olson's constant for the group Z_p+Z_p is given by Ol(Z_p+Z_p)=p-1+Ol(Z_p).

Mots clés: exponential sums; zero-sum problems; Olson's constant; exponential sums.

Domaines: Théorie des nombres [math.NT]

Gautami Bhowmik, Jan-Christoph Schlage-Puchta. An Improvement on Olson's Constant for Z_p+Z_p. Acta Arithmetica, 2009. ⟨hal-00279276⟩