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<titleInfo><title>Asymptotic growth of translation-dilation orbits</title></titleInfo>


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  <namePart type="given">Victor</namePart>
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<abstract lang="eng">By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin&apos;s conjecture for sufficiently split smooth equivariant compactifications of the translation-dilation group over the rationals. Secondary terms remain elusive in general.</abstract>

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  <identifier type="eIssn">1090-2082</identifier>
  <identifier type="arXiv">2309.07626</identifier>
  <identifier type="ISI">001495142300002</identifier><identifier type="doi">10.1016/j.aim.2025.110341</identifier>
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<ista>Wang V. 2025. Asymptotic growth of translation-dilation orbits. Advances in Mathematics. 475, 110341.</ista>
<ama>Wang V. Asymptotic growth of translation-dilation orbits. &lt;i&gt;Advances in Mathematics&lt;/i&gt;. 2025;475. doi:&lt;a href=&quot;https://doi.org/10.1016/j.aim.2025.110341&quot;&gt;10.1016/j.aim.2025.110341&lt;/a&gt;</ama>
<chicago>Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” &lt;i&gt;Advances in Mathematics&lt;/i&gt;. Elsevier, 2025. &lt;a href=&quot;https://doi.org/10.1016/j.aim.2025.110341&quot;&gt;https://doi.org/10.1016/j.aim.2025.110341&lt;/a&gt;.</chicago>
<ieee>V. Wang, “Asymptotic growth of translation-dilation orbits,” &lt;i&gt;Advances in Mathematics&lt;/i&gt;, vol. 475. Elsevier, 2025.</ieee>
<apa>Wang, V. (2025). Asymptotic growth of translation-dilation orbits. &lt;i&gt;Advances in Mathematics&lt;/i&gt;. Elsevier. &lt;a href=&quot;https://doi.org/10.1016/j.aim.2025.110341&quot;&gt;https://doi.org/10.1016/j.aim.2025.110341&lt;/a&gt;</apa>
<short>V. Wang, Advances in Mathematics 475 (2025).</short>
<mla>Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” &lt;i&gt;Advances in Mathematics&lt;/i&gt;, vol. 475, 110341, Elsevier, 2025, doi:&lt;a href=&quot;https://doi.org/10.1016/j.aim.2025.110341&quot;&gt;10.1016/j.aim.2025.110341&lt;/a&gt;.</mla>
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