论文标题
由二进制形式家庭代表的整数数量
Number of integers represented by families of binary forms
论文作者
论文摘要
我们将先前的结果扩展到整数的数量，这些整数数量是某些大于给定值的循环形式的值（请参阅\ cite {fw1}），到具有整数系数的二进制形式的更一般的二进制形式家族。我们的主要成分是一组值的基数的渐近上限，这是两种非同构二进制学位形式所共有的，大于$ 3 $。我们将结果应用于二元形式家庭的一些典型例子。
We extend our previous results on the number of integers which are values of some cyclotomic form of degree larger than a given value (see \cite{FW1}), to more general families of binary forms with integer coefficients. Our main ingredient is an asymptotic upper bound for the cardinality of the set of values which are common to two non isomorphic binary forms of degree greater than $3$. We apply our results to some typical examples of families of binary forms.
