Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

708391.pdf (584.84 KB)

Document type

Article

Version

Published version

Publication date

2020

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/193622

On the elliptic Stark Conjecture in higher weight

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

https://doi.org/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.

Subject

Teoria de nombres, Funcions L, Punts racionals (Geometria), Funcions zeta

Subject (English)

Number theory, L-functions, Rational points (Geometry, Zeta functions

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

GATTI, Francesca and GUITART MORALES, Xavier. On the elliptic Stark Conjecture in higher weight. Publicacions Matemàtiques. 2020. Vol. 64, num. 2, pags. 577-619. ISSN 0214-1493. [consulted: 8 of August of 2026]. Available at: https://hdl.handle.net/2445/193622

Export metadata

JSON - METS

Share record