Representations of definite binary quadratic forms over F q [t]
Bureau, Jean ; Morales, Jorge
Illinois J. Math., Tome 53 (2009) no. 1, p. 237-249 / Harvested from Project Euclid
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In this paper, we prove that a binary definite quadratic form over Fq[t], where q is odd, is completely determined up to equivalence by the polynomials it represents up to degree 3m−2, where m is the degree of its discriminant. We also characterize, when q>13, all the definite binary forms over Fq[t] that have class number one.
Publié le : 2009-05-15
Classification:  11E25,  11E12,  11E41,  11D09 
@article{1264170848,
     author = {Bureau, Jean and Morales, Jorge},
     title = {Representations of definite binary quadratic forms over F<sub>
 q
</sub>[t]},
     journal = {Illinois J. Math.},
     volume = {53},
     number = {1},
     year = {2009},
     pages = { 237-249},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264170848}
}

Bureau, Jean; Morales, Jorge. Representations of definite binary quadratic forms over F
 q
[t]. Illinois J. Math., Tome 53 (2009) no. 1, pp.  237-249. http://gdmltest.u-ga.fr/item/1264170848/