On the order of vanishing of the cyclotomic p-adic L-function

Ivan Blanco

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arXiv · 0905.4682

On the order of vanishing of the cyclotomic p-adic L-function

Ivan Blanco

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Abstract

For a newform for Gamma_0(N) of even weight k, we prove that its attached p-adic L-function is not identically zero on the group Z_p of the p-adic units. If p >3, we prove that the order of vanishing at any p-adic integer is finite.

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Ivan Blanco. 2012-08-01. On the order of vanishing of the cyclotomic p-adic L-function. https://arxiv.org/abs/0905.4682

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