J
Jonathan Hanke
Researcher at Princeton University
Publications - 19
Citations - 222
Jonathan Hanke is an academic researcher from Princeton University. The author has contributed to research in topics: Definite quadratic form & Quadratic field. The author has an hindex of 6, co-authored 18 publications receiving 197 citations. Previous affiliations of Jonathan Hanke include University of Georgia.
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Local densities and explicit bounds for representability by a quadratic form
TL;DR: In this article, lower bounds for the number of representations of an integer m by a positive definite integral quadratic form Q in n ≥ 3 variables defined over ℚ are given.
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On an exact mass formula of Shimura
TL;DR: Using Bruhat-Tits theory, the authors obtained a quick and more conceptual proof of Shimura's formula when the form is totally definite, which is the case in this paper, as well.
Some recent results about (ternary) quadratic forms
TL;DR: In this paper, the analysis of the Shimura lift has been studied in the context of the exceptional-type square classes and the structure of the spinor representation of spinor representations.
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On the cohomology of linear groups over imaginary quadratic fields
Mathieu Dutour Sikirić,Herbert Gangl,Paul E. Gunnells,Jonathan Hanke,Achill Schürmann,Dan Yasaki +5 more
TL;DR: In this paper, the integral cohomology of Γ up to p-power torsion for small primes p was derived for the case N = 3, D = − 3, − 4 when N = 4.
Posted Content
The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields
TL;DR: In this paper, it was shown that the monogenicity or $n$-monogenicity of a cubic field has an altering effect on the behavior of the 2-torsion in its class group.