An asymptotic expansion of a Lambert series associated to cusp forms
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DOI: 10.1142/s1793042118500173
Abstract: Zagier’s conjecture on the asymptotic expansion of the Lambert series ∑n=1∞τ2(n)exp(−nz), where τ(n) is the Ramanujan’s tau function, was proved by Hafner and Stopple. Recently, Chakraborty, Kanemitsu and Maji have extended this result to any… read more here.
Keywords: cusp forms; asymptotic expansion; expansion lambert; lambert series ... See more keywords
A Generalization of the Secant Zeta Function as a Lambert Series
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DOI: 10.1155/2020/7923671
Abstract: Recently, Lalín, Rodrigue, and Rogers have studied the secant zeta function and its convergence. They found many interesting values of the secant zeta function at some particular quadratic irrational numbers. They also gave modular transformation… read more here.
Keywords: function; zeta function; secant zeta; lambert series ... See more keywords
On Uniformly Starlike Functions with Respect to Symmetrical Points Involving the Mittag-Leffler Function and the Lambert Series
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DOI: 10.3390/sym16050580
Abstract: The aim of this paper is to define the linear operator based on the generalized Mittag-Leffler function and the Lambert series. By using this operator, we introduce a new subclass of β-uniformly starlike functions ΤJ(αi).… read more here.
Keywords: lambert series; uniformly starlike; mittag leffler; leffler function ... See more keywords