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Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect

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arxiv 1810.00539 v1 pith:TX3AEO5V submitted 2018-10-01 math.NT

Ritabrata Munshi This is my paper · ORCID
classification math.NT
keywords formfracmathbbtimesvarepsilonaspectboundcusp
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abstract

Let $\pi$ be a Hecke-Maass cusp form for $SL(3,\mathbb Z)$ and $f$ be a holomorphic (or Maass) Hecke form for $SL(2,\mathbb{Z})$. In this paper we prove the following subconvex bound $$ L\left(\tfrac{1}{2}+it,\pi\times f\right)\ll_{\pi,f,\varepsilon} (1+|t|)^{\frac{3}{2}-\frac{1}{42}+\varepsilon}. $$

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Squarefree numbers in short intervals: explicit and formalized

    math.NT 2026-08 conditional novelty 6.0 of 10

    For intervals of length H = X^{1/5 - 2/90935 + ε}, the number of squarefree integers differs from (6/π²)H by at most an explicit constant times H X^{-ε/10^{25}}.

  2. A connection between low-lying zeros and central values of $L$-functions

    math.NT 2026-05 unverdicted novelty 6.0 of 10

    Partial results on low-lying zero densities imply explicit conditional lower bounds on central L-values, with bound quality tied to family symmetry type and allowed Fourier support.

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