The Bases of and the Number of Representation of Integers

Barış Kendirli
2013 Mathematical Problems in Engineering  
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 .
doi:10.1155/2013/695265 fatcat:gr66gxecebcbhnzotujc5g7idy