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Asymptotic formulae are provided for the number of representations of a natural number as the sum of four and of three squares that are pairwise coprime.
Jörg Brüdern. "Sums of Squares Coprime in Pairs." Bulletin of the Polish Academy of Sciences. Mathematics 62.3 (2014): 215-231. <http://eudml.org/doc/281297>.
@article{JörgBrüdern2014, abstract = {Asymptotic formulae are provided for the number of representations of a natural number as the sum of four and of three squares that are pairwise coprime.}, author = {Jörg Brüdern}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, keywords = {sums of squares; Kloosterman method; ternary quadratic forms}, language = {eng}, number = {3}, pages = {215-231}, title = {Sums of Squares Coprime in Pairs}, url = {http://eudml.org/doc/281297}, volume = {62}, year = {2014}, }
TY - JOUR AU - Jörg Brüdern TI - Sums of Squares Coprime in Pairs JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2014 VL - 62 IS - 3 SP - 215 EP - 231 AB - Asymptotic formulae are provided for the number of representations of a natural number as the sum of four and of three squares that are pairwise coprime. LA - eng KW - sums of squares; Kloosterman method; ternary quadratic forms UR - http://eudml.org/doc/281297 ER -