Consequences of functional equations for pairs of p-adic L-functions

Cédric Dion; Florian Ito Sprung

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arXiv · 1906.08377

Consequences of functional equations for pairs of p-adic L-functions

Cédric Dion·Florian Ito Sprung

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Abstract

We prove consequences of functional equations of p-adic L-functions for elliptic curves at supersingular primes p. The results include a relationship between the leading and sub-leading terms (for which we use ideas of Wuthrich and Bianchi), a parity result of orders of vanishing, and invariance of Iwasaswa invariants under conjugate twists of the p-adic L-functions.

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Cédric Dion, Florian Ito Sprung. 2019-06-19. Consequences of functional equations for pairs of p-adic L-functions. https://arxiv.org/abs/1906.08377

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