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An alternate proof of Statmanʼs finite completeness theorem

✍ Scribed by B. Srivathsan; Igor Walukiewicz

Book ID
113663375
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
180 KB
Volume
112
Category
Article
ISSN
0020-0190

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While various techniques have been used to demonstrate the classical four squares theorem for the rational integers, the method of modular forms of two variables has been the standard way of dealing with sums of squares problems for integers in quadratic fields. The case of representations by sums o