Explicit Gross–Zagier and Waldspurger formulae

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 31 Dec 2014Embargo end date: 01 Jan 2014 English Publisher:Mathematical Sciences PublishersJournal:Algebra & Number Theory, volume 8, pages 2,523-2,572 (issn: 1937-0652, eissn: 1944-7833,

Copyright policy )

Authors: Cai, Li; Shu, Jie; Tian, Ye;

doi: 10.2140/ant.2014.8.2523 , 10.48550/arxiv.1408.1733

arXiv: 1408.1733

Explicit Gross–Zagier and Waldspurger formulae

- Summary
- Subjects
- Metrics

Abstract

We give an explicit form of Gross-Zagier formula on Shimura Curves and an explicit form of Waldspurger formula.

Related Organizations

Chinese Academy of Sciences
China (People's Republic of)
Academy of Mathematics and Systems Science
China (People's Republic of)
Tsinghua University
China (People's Republic of)

Keywords

Waldspurger formula, 11G40, Mathematics - Number Theory, periods, Gross–Zagier formula, Heegner points, FOS: Mathematics, Number Theory (math.NT)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	40
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%