Translator Disclaimer
2020 On the Elliptic Stark Conjecture in higher weight
Francesca Gatti, Xavier Guitart
Publ. Mat. 64(2): 577-619 (2020). DOI: 10.5565/PUBLMAT6422009

Abstract

We study the special values of the triple product $p$-adic $L$-function constructed by Darmon and Rotger at all classical points outside the region of interpolation. We propose conjectural formulas for these values that can be seen as extending the Elliptic Stark Conjecture, and we provide theoretical evidence for them by proving some particular cases.

Citation

Download Citation

Francesca Gatti. Xavier Guitart. "On the Elliptic Stark Conjecture in higher weight." Publ. Mat. 64 (2) 577 - 619, 2020. https://doi.org/10.5565/PUBLMAT6422009

Information

Received: 7 March 2019; Revised: 16 March 2020; Published: 2020
First available in Project Euclid: 3 July 2020

zbMATH: 07236055
MathSciNet: MR4119953
Digital Object Identifier: 10.5565/PUBLMAT6422009

Subjects:
Primary: 11G40 , 14G05 , 14G10

Keywords: Elliptic Stark Conjecture , modular forms , triple product $p$-adic $L$-functions

Rights: Copyright © 2020 Universitat Autònoma de Barcelona, Departament de Matemàtiques

JOURNAL ARTICLE
43 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.64 • No. 2 • 2020
Back to Top