Abstract
We give an explicit formula that expresses the algebraic part of the special L-value of the winding quotient of square-free level as a rational number, and interpret it in terms of the Birch–Swinnerton-Dyer conjecture.
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During the writing of this article, the author was supported by National Security Agency Grant No. H8230-10-1-0208. This manuscript is submitted for publication with the understanding that the United States Government is authorized to reproduce and distribute reprints.
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Agashe, A. The special L-value of the winding quotient of square-free level. manuscripta math. 151, 493–504 (2016). https://doi.org/10.1007/s00229-016-0847-x
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DOI: https://doi.org/10.1007/s00229-016-0847-x