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math.NT2013
A generalized Hermite constant and its computations for imaginary quadratic fields
Wai Kiu Chan, Maria Ines Icaza, Emilio A. Lauret
We introduce the projective Hermite constant for positive definite binary hermitian forms associated with an imaginary quadratic number field . It is a lower bound for the class…
math.NT2012
A numerical study on exceptional eigenvalues of certain congruence subgroups of SO(n,1) and SU(n,1)
Emilio A. Lauret
In a previous work we apply lattice point theorems on hyperbolic spaces obtaining asymptotic formulas for the number of integral representations of negative integers by quadratic a…
math.NT2011★ 2 cited
An asymptotic formula for representations of integers by indefinite hermitian forms
Emilio A. Lauret
We fix a maximal order in $\F=\R,\C$ or , and an $\F$-hermitian form of signature with coefficients in . Let . By applying…