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Georgian Mathematical Journal 13 (2006), No. 4, 779--781
Copyright Heldermann Verlag 2006



Sums of Odd Squares

Meinhard Peters
Mathematisches Institut, Universitaet Muenster, Einsteinstr. 62, 48149 Muenster, Germany
petersm@math.uni-muenster.de



The number of representations of an integer as a sum of n odd squares for n equivalent 0 mod 4 is expressed by the number of representations as a sum of n squares of integers and the number of representations by the lattice D+n.

Keywords: Sums of squares, representation numbers, theta series, lattices.

MSC: 11E25

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