@article{cf36439014a74d6fb1fa1878246a430c,
title = "Regulators for Rankin–Selberg products of modular forms",
abstract = "We prove a weak version of Beilinson{\textquoteright}s conjecture for non-critical values of L-functions for the Rankin–Selberg product of two modular forms.",
keywords = "Beilinson conjecture, Rankin–Selberg product, Regulator",
author = "Fran{\c c}ois Brunault and Masataka Chida",
note = "Funding Information: We would like to thank Fr{\'e}d{\'e}ric D{\'e}glise and J{\"o}rg Wildeshaus for very stimulating discussions on the topic of motives, Jos{\'e} Ignacio Burgos Gil for helpful advice on Deligne-Beilinson cohomology, and Francesco Lemma and Jan Nekov{\'a}{\v r} for helpful discussions and comments on our work. We also thank the anonymous referee for improvement suggestions. The first author is partly supported by the research grant ANR R{\'e}gulateurs (Grant Number ANR-12-BS01-0002). The second author is partly supported by JSPS KAKENHI (Grant Number 23740015) and the research grant of Hakubi project of Kyoto University. Publisher Copyright: {\textcopyright} 2015, Fondation Carl-Herz and Springer International Publishing Switzerland.",
year = "2016",
month = aug,
day = "1",
doi = "10.1007/s40316-015-0043-5",
language = "English",
volume = "40",
pages = "221--249",
journal = "Annales Mathematiques du Quebec",
issn = "2195-4755",
publisher = "Springer International Publishing AG",
number = "2",
}