Singular moduli and the arakelov intersection

Research output: Contribution to journalArticle

Abstract

The values of the modular y-function at imaginary quadratic arguments in the upper half plane are usually called singular moduli. In this paper, we use the Arakelov intersection to give the prime factorizations of a certain combination of singular moduli, coming from the Hecke correspondence. Such a result may be considered as a degenerate one of Gross and Zagier on Heegner points and derivatives of L-series, and is parellel to the result of Gross and Zagier on singular moduli.

Original languageEnglish
Pages (from-to)345-356
Number of pages12
JournalTohoku Mathematical Journal
Volume47
Issue number3
DOIs
Publication statusPublished - Jan 1 1995

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Modulus
Intersection
Gross
L'Hôpital's Rule
Half-plane
Correspondence
Derivative
Series

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Singular moduli and the arakelov intersection. / Weng, Lin.

In: Tohoku Mathematical Journal, Vol. 47, No. 3, 01.01.1995, p. 345-356.

Research output: Contribution to journalArticle

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