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The Bases of and the Number of Representation of Integers

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  • Barış Kendirli

Abstract

Following a fundamental theorem of Hecke, some bases of and are determined, and explicit formulas are obtained for the number of representations of positive integers by all possible direct sums (111 different combinations) of seven quadratic forms from the class group of equivalence classes of quadratic forms with discriminant −71 whose representatives are .

Suggested Citation

  • Barış Kendirli, 2013. "The Bases of and the Number of Representation of Integers," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-34, September.
    • Handle: RePEc:hin:jnlmpe:695265
    DOI: 10.1155/2013/695265
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