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math.NT2008

Zero-sum free sequences with small sum-set

Gautami Bhowmik, Immanuel Halupczok, Jan-Christoph Schlage-Puchta

Let A be a zero-sum free subset of Z_n with |A|=k. We compute for k\le 7 the least possible size of the set of all subset-sums of A.

math.NT2007

Exponential sums: questions by Denef, Sperber, and Igusa

R. Cluckers

We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., \textit{Exponential sums mod and {N}ewton polyhedra}, Bull. Belg. Math. Soc., {…

math.NT2007

Irreducibility of hypersurfaces

Arnaud Bodin, Pierre Dèbes, Salah Najib

Given a polynomial P in several variables over an algebraically closed field, we show that except in some special cases that we fully describe, if one coefficient is allowed to var…

math.NT2006

Davenport's constant for groups of the form

Gautami Bhowmik, Jan-Christoph Schlage-Puchta

We determine Davenport's constant for all groups of the form .