2009-05-11
The number of representations of a positive integer by certain quaternary quadratic forms
Publication
Publication
International Journal of Number Theory , Volume 5 - Issue 1 p. 13- 40
Some theta function identities are proved and used to give formulae for the number of representations of a positive integer by certain quaternary forms x2 + ey2 + fz2 + gt2 with e, f, g ∈ {1, 2, 4, 8}.
| Additional Metadata | |
|---|---|
| Quaternary quadratic forms, Theta functions | |
| dx.doi.org/10.1142/S1793042109001943 | |
| International Journal of Number Theory | |
| Organisation | School of Mathematics and Statistics |
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Alaca, A, Alaca, S, Lemire, M.F. (Mathieu F.), & Williams, K.S. (2009). The number of representations of a positive integer by certain quaternary quadratic forms. International Journal of Number Theory, 5(1), 13–40. doi:10.1142/S1793042109001943
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