He examined the higher reciprocity laws, with the aim of generalising Gauss 's results on quadratic reciprocity, again contained in Disquisitiones arithmeticae.
Siya iksaminin ang mas mataas na katumbasan mga batas, na may layunin ng generalising gauss' s resulta sa parisukat katumbasan, muli nakapaloob sa Disquisitiones arithmeticae.