<p>Let <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13226_2025_837_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(L_{G}(s)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>L</mi> <mi>G</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mi>s</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> be a <i>L</i>-function attached to a particular automorphic form <i>G</i> on <i>GL</i>(6). In this paper, we consider the general divisor problem associated to the Dirichlet coefficients of the Rankin-Selberg <i>L</i>-function <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13226_2025_837_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="TEX">\(L_{G\times G}(s)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>L</mi> <mrow> <mi>G</mi> <mo>×</mo> <mi>G</mi> </mrow> </msub> <mrow> <mo stretchy="false">(</mo> <mi>s</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>. By analogy, we also provide other similar results.</p>
The general divisor problem associated to certain Rankin-Selberg L-functions
Let \(L_{G}(s)\) be a L-function attached to a particular automorphic form G on GL(6). In this paper, we consider the general divisor problem associated to the Dirichlet coefficients of the Rankin-Selberg L-function \(L_{G\times G}(s)\). By analogy, we also provide other similar results.
