Orders at infinity of modular forms with Heegner divisors

DOI10.1090/S0002-9939-07-08846-6zbMath1134.11018MaRDI QIDQ5295092

Aaron Pixton, Carl Erickson, Alison Beth Miller

Publication date: 27 July 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(p\)-adic modular formsHilbert class polynomialgeneralized traces\(p\)-adic formulasBorcherds' productsmeromorphic modular forms with Heegner divisors

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)

Cites Work

• The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
• The arithmetic of Borcherds' exponents
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• The arithmetic of the values of modular functions and the divisors of modular forms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Orders at infinity of modular forms with Heegner divisors