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Showing 2010 · math.NTShow all
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math.NT2010★ 9 cited
Cyclotomic Matrices and Graphs over the ring of integers of some imaginary quadratic fields
Graeme Taylor
We determine all Hermitian $\mathcal{O}_{\Q(\sqrt{d})}$-matrices for which every eigenvalue is in the interval [-2,2], for each d in {-2,-7,-11,-15\}. To do so, we generalise charg…
math.NT2010
On generalized modular forms supported on cuspidal and elliptic points
L J P Kilford, Wissam Raji
In this paper, we extend previous results to prove that generalized modular forms with rational Fourier expansions whose divisors are supported only at the cusps and certain other…
math.NT2010★ 2 cited
Diophantine approximation and automorphic spectrum
Anish Ghosh, Alexander Gorodnik, Amos Nevo
The present paper establishes qunatitative estimates on the rate of diophantine approximation in homogeneous varieties of semisimple algebraic groups. The estimates established gen…