Selectivity in definite quaternion algebras
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DOI: 10.1016/j.jnt.2017.09.009
Abstract: Abstract We study the embedding problem for commutative orders into Eichler orders in definite quaternion algebras over the rationals by using methods from the theory of quadratic forms, specifically, Minkowski–Siegel's formula for the representation mass.… read more here.
Keywords: quaternion algebras; selectivity definite; definite quaternion;
Dimension formulas of paramodular forms of squarefree level and comparison with inner twist
Sign Up to like & getrecommendations! Published in 2017 at "Journal of The Mathematical Society of Japan"
DOI: 10.2969/jmsj/06920597
Abstract: In this paper, we give an explicit dimension formula for the spaces of Siegel paramodular cusp forms of degree two of squarefree level. As an application, we propose a conjecture on symplectic group version of… read more here.
Keywords: quaternion; dimension; conjecture; squarefree level ... See more keywords