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 | |
|---|---|
| Keywords | Quaternary quadratic forms, Theta functions |
| Persistent URL | dx.doi.org/10.1142/S1793042109001943 |
| Journal | International Journal of Number Theory |
| Citation |
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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