Values of harmonic weak Maass forms on Hecke orbits
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DOI: 10.1016/j.jmaa.2019.04.074
Abstract: Let $q:=e^{2 \pi iz}$, where $z \in \mathbb{H}$. For an even integer $k$, let $f(z):=q^h\prod_{m=1}^{\infty}(1-q^m)^{c(m)}$ be a meromorphic modular form of weight $k$ on $\Gamma_0(N)$. For a positive integer $m$, let $T_m$ be the $m$th… read more here.
Keywords: values harmonic; harmonic weak; weak maass; maass forms ... See more keywords
On Sums Of Coefficients Of Maass Forms For SL(3, ℤ)
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DOI: 10.1093/qmath/haab012
Abstract: Let f be a Maass form for $SL(3,{\mathbb{Z}})$ with coefficients Af(m, n). The aim of this paper is to study the asymptotic behaviour of the sum $\sum_{m\leqslant x,n\leqslant y}|A_f(m,n)|^2$ and some other related sums. read more here.
Keywords: sums coefficients; maass forms; coefficients maass;