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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.NT2003★ 9 cited
On the number of equivalence classes of binary forms of given degree and given discriminant
Attila Berczes, Jan-Hendrik Evertse, Kalman Gyory
We give an explicit upper bound for the number of equivalence classes of binary forms with rational integral coefficients of given degree and given discriminant, and with given spl…