https://scholars.lib.ntu.edu.tw/handle/123456789/624833
Title: | Restriction of Eisenstein series and Stark–Heegner points | Authors: | Hsieh M.-L Yamana S. MING-LUN HSIEH |
Keywords: | Hida families; Mots-clefs. p-adic L-functions; Stark-Heegner points | Issue Date: | 2021 | Journal Volume: | 33 | Journal Issue: | 3.2 | Start page/Pages: | 887-944 | Source: | Journal de Theorie des Nombres de Bordeaux | Abstract: | In a recent work of Darmon, Pozzi and Vonk, the authors consider a particular p-adic family of Hilbert Eisenstein series Ek(1,Ø)$ associated with an odd character $\brch$ of the narrow ideal class group of a real quadratic field F and compute the first derivative of a certain one-variable twisted triple product p-adic L-series attached to Ek(1,Ø) and an elliptic newform f of weight 2 on Γ0(p). In this paper, we generalize their construction to include the cyclotomic variable and thus obtain a two-variable twisted triple product p-adic L-series. Moreover, when f is associated with an elliptic curve E over Q, we prove that the first derivative of this p-adic L-series along the weight direction is a product of the p-adic logarithm of a Stark-Heegner point of E over F introduced by Darmon and the cyclotomic p-adic L-function for E. © 2021, Institut de Mathematique de Bordeaux. All rights reserved. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124977850&doi=10.5802%2fjtnb.1182&partnerID=40&md5=8304018b76f1541f3b795f848b7522af https://scholars.lib.ntu.edu.tw/handle/123456789/624833 |
ISSN: | 12467405 | DOI: | 10.5802/jtnb.1182 |
Appears in Collections: | 數學系 |
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