Representation of Integers by Ternary Quadratic Forms: a Geometric Approach
نویسنده
چکیده
In 1957 N.C. Ankeny provided a new proof of the three squares theorem using geometry of numbers. This paper generalizes Ankeny’s technique, proving exactly which integers are represented by x2 + 2y2 + 2z2 and x2 + y2 + 2z2 as well as proving su cient conditions for an integer to be represented by x2 + y2 + 3z2 and x2 + y2 + 7z2.
منابع مشابه
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تاریخ انتشار 2016