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arXiv · 2503.02492

$L$-functions of degree $2$ and conductor $1$: underlying ideas and a generalisation

Jerzy Kaczorowski·Alberto Perelli
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Abstract

We present a streamlined account of a recent theorem on the classification of the $L$-functions of degree 2 and conductor 1 from the extended Selberg class. We also present a more general new result dealing with functional equations involving two Dirichlet series. Further, we correct a slip in the original proof of the above theorem, which however does not affect the final result.

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Jerzy Kaczorowski, Alberto Perelli. 2025-03-04. $L$-functions of degree $2$ and conductor $1$: underlying ideas and a generalisation. https://doi.org/10.7169/facm%2F2091

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