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arXiv · 1504.07727

A case of simultaneous non-vanishing

Ritabrata Munshi·Jyoti Sengupta
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Abstract

We show that for $k>1000$ an even number and a sufficiently large prime $q$, there exists a newform $f$ of weight $k$ and level $q$ such that $$ L(1/2,f)L(1/2,\text{Sym}^2 f)\neq 0. $$

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Ritabrata Munshi, Jyoti Sengupta. 2015-04-29. A case of simultaneous non-vanishing. https://arxiv.org/abs/1504.07727

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