Weight aspect asymptotic and simultaneous non-vanishing for Rankin-Selberg $L$-functions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911301133926400 |
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| author | Ghosh, Aritra |
| author_facet | Ghosh, Aritra |
| contents | In this article we show simultaneous non-vanishing of two Rankin-Selberg $L$-functions by proving an asymptotic result in weight aspect. The main input of this paper is to remove the $t$-integral dependence from the result of Blomer-Harcos (see \cite{BH2}) and getting a square root exponent for the error term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19468 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weight aspect asymptotic and simultaneous non-vanishing for Rankin-Selberg $L$-functions Ghosh, Aritra Number Theory In this article we show simultaneous non-vanishing of two Rankin-Selberg $L$-functions by proving an asymptotic result in weight aspect. The main input of this paper is to remove the $t$-integral dependence from the result of Blomer-Harcos (see \cite{BH2}) and getting a square root exponent for the error term. |
| title | Weight aspect asymptotic and simultaneous non-vanishing for Rankin-Selberg $L$-functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.19468 |