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5. Weakly Positive Quadratic Forms
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Related articles in Web of Science Google Scholar. Citing articles via Web of Science 5. They will work on the representation theory of positive definite quadratic forms, the almost strong approximation properties of simply connected algebraic groups of compact types, and the classification of quaternary quadratic forms with improper automorphism groups by their degree two theta series. Quadratic forms are homogenous polynomials of degree two in many variables. This research concerns the number theoretic problems which arises from deciding which integers can be values of the quadratic forms when the variables are replaced by integers.
It falls into the area of number theory which is among the oldest branches of mathematics. Nowadays, quadratic forms and other kinds of number theory become indispensable tools in communication sciences, data transmission and processing, construction of error correcting codes, and cryptography in information technology.
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