Values of harmonic weak Maass forms on Hecke orbits
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
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
Cubic Twin Prime Polynomials are Counted by a Modular Form
Sign Up to like & getrecommendations! Published in 2019 at "Canadian Journal of Mathematics"
DOI: 10.4153/cjm-2018-018-9
Abstract: Abstract We present the geometry behind counting twin prime polynomials in $\mathbb{F}_{q}[T]$ in general. We compute cohomology and explicitly count points by means of a twisted Lefschetz trace formula applied to these parametrizing varieties for… read more here.
Keywords: prime polynomials; geometry; modular form; twin prime ... See more keywords