In this paper, we propose a new method of upper bounds for the number of integer polynomials of the fourth degree with a given discriminant. By direct calculation similar results were established by H. Davenport and D. Kaliada for polynomials of second and third degrees.

中文翻译：

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具有给定判别式的整数多项式数量的新估计

在本文中，我们提出了一种具有给定判别式的四阶整数多项式数量上限的新方法。通过直接计算，H. Davenport 和 D. Kaliada 为二阶和三阶多项式建立了类似的结果。