J. Evertse

activity

20012004

most citedLinear equations in variables which lie in a multiplicative group

1 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2004★ 1 cited

Linear equations in variables which lie in a multiplicative group

J. -H. Evertse, H. P. Schlickewei, W. M. Schmidt

Let K be a field of characteristic 0 and let n be a natural number. Let Gamma be a subgroup of the multiplicative group $(K^{*})^{n}$ of finite rank r. Given $A_{2}, ..., a_{n} \in K^{*}$ …

math.NT2003★ 1 cited

Linear equations with unknowns from a multiplicative group whose solutions lie in a small number of subspaces

Jan-Hendrik Evertse

Let K be a field of characteristic 0. We consider linear equations a1*x1+...+an*xn=1 in unknowns x1,...,xn from G, where a1,...,an are non-zero elements of K, and where G is a subg…

math.NT2001

Multivariate Diophantine equations with many solutions

J. -H. Evertse, P. Moree, C. L. Stewart +1

We show that for each n-tuple of positive rational integers (a_1,..,a_n) there are sets of primes S of arbitrarily large cardinality s such that the solutions of the equation a_1x_…