A cuspidal class number formula for the modular curves \(X_1(N)\)

DOI10.1007/BF01420083zbMath0426.12003MaRDI QIDQ1135885

Jing Yu

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163456

zbMATH Keywords

Bernoulli numbersmodular curveStickelberger idealcuspidal divisor class group

Mathematics Subject Classification ID

Units and factorization (11R27) Modular and automorphic functions (11F03) Special algebraic curves and curves of low genus (14H45) Iwasawa theory (11R23) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (15)

A Taniyama Product for the Riemann Zeta Function ⋮ The cuspidal class number formula for the modular curves \(X_ 0(M)\) with \(M\) square-free ⋮ Determinantal formula for the cuspidal class number of the modular curve \(X_1(m)\) ⋮ The rational cuspidal subgroup of J0(p2M)$J_0(p^2M)$ with M squarefree ⋮ Modular units and cuspidal divisor classes on \(X_0(n^2M)\) with \(n|24\) and \(M\) squarefree ⋮ Torsion points on elliptic curves defined over quadratic fields ⋮ The \(\mathbb{Q}\)-rational cuspidal group of \(J_{1}(2p)\) ⋮ Sporadic cubic torsion ⋮ Cuspidal class number formula for the modular curves \(X_ 1(p)\) ⋮ The cuspidal class number formula for certain quotient curves of the modular curve \(X_0(M)\) by Atkin-Lehner involutions ⋮ A divisor formula and a bound on the \(\mathbb{Q} \)-gonality of the modular curve \(X_1(N)\) ⋮ Defining equations of modular curves ⋮ Modular units and cuspidal divisor class groups of \(X_1(N)\) ⋮ The cuspidal class number formula for the modular curves \(X_1(2p)\) ⋮ Units and class groups in number theory and algebraic geometry

Cites Work

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• Units in the modular function field. I. - II: A full set of units. - III: Distribution relations
• Distributions on toroidal groups
• Units in the modular function field. IV: The Siegel functions are generators
• On the Stickelberger ideal and the circular units of a cyclotomic field
• A class number formula for cyclotomic fields
• The universal ordinary distribution

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