The arithmetic of Borcherds' exponents (original) (raw)
2003, Mathematische Annalen
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This paper explores the arithmetic properties of exponents associated with modular forms, specifically those outlined by Borcherds. The authors introduce a novel p-adic method for analyzing these exponents, demonstrating its applicability through various examples and deriving new class number formulas. The connections between modular forms and their exponents are further elucidated, contributing to both theoretical advancements and practical computations in the field of number theory.
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