most citedLarge supremum norms and small Shannon entropy for Hecke eigenfunctions of quantized cat maps

3 citations · 3 across the 2 of their papers we have counts for

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2 papers

math.NT2007★ 3 cited

Large supremum norms and small Shannon entropy for Hecke eigenfunctions of quantized cat maps

Rikard Olofsson

This paper concerns the behavior of eigenfunctions of quantized cat maps and in particular their supremum norm. We observe that for composite integer values of N, the inverse of Pl…

math.NT2006

Local Riemann Hypothesis for complex numbers

Rikard Olofsson

In this paper a special class of local zeta functions is studied. The main theorem states that the functions have all zeros on the line Re (s)=1/2. This is a natural generalization…