2007
DOI: 10.1090/s0002-9939-07-08846-6
|View full text |Cite
|
Sign up to set email alerts
|

Orders at infinity of modular forms with Heegner divisors

Abstract: Abstract. Borcherds described the exponents a(n) in product expansionsof meromorphic modular forms with a Heegner divisor. His description does not directly give any information about h, the order of vanishing at infinity of f . We give p-adic formulas for h in terms of generalized traces given by sums over the zeroes and poles of f . Specializing to the case of the Hilbert class polynomial f = H d (j(z)) yields p-adic formulas for class numbers that generalize past results of Bruinier, Kohnen and Ono. We also… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 10 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?