Yu, Jing A cuspidal class number formula for the modular curves \(X_1(N)\). (English) Zbl 0426.12003 Math. Ann. 252, 197-216 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 Documents MSC: 11R23 Iwasawa theory 14H45 Special algebraic curves and curves of low genus 11F03 Modular and automorphic functions 11R27 Units and factorization 11B39 Fibonacci and Lucas numbers and polynomials and generalizations Keywords:cuspidal divisor class group; modular curve; Bernoulli numbers; Stickelberger ideal PDFBibTeX XMLCite \textit{J. Yu}, Math. Ann. 252, 197--216 (1980; Zbl 0426.12003) Full Text: DOI EuDML References: [1] Iwasawa, K.: A class number formula for cyclotomic fields. Ann. Math.76, 171-179 (1962) · Zbl 0125.02003 · doi:10.2307/1970270 [2] Klimek, P.: Thesis, Berkeley 1975 [3] Kubert, D.: Quadratic relations for generators of units in the modular function field. Math. Ann.225, 1-20 (1977) · Zbl 0331.10011 · doi:10.1007/BF01364888 [4] Kubert, D.: The universal ordinary distribution. Bull. Soc. Math. France107, 179-202 (1979) · Zbl 0409.12021 [5] Kubert, D., Lang, S.: Modular units (in preparation) · Zbl 0331.10012 [6] Kubert, D., Lang, S.: Units in the modular function field. I. Math. Ann.218, 67-96 (1975) · Zbl 0311.14005 · doi:10.1007/BF01350068 [7] Kubert, D., Lang, S.: Units in the modular function field. II. A full set of units. Math. Ann.218, 175-189 (1975) · Zbl 0311.14005 · doi:10.1007/BF01370818 [8] Kubert, D., Lang, S.: Units in the modular function field. III. Distribution relations. Math. Ann.218, 273-285 (1975) · Zbl 0311.14005 · doi:10.1007/BF01349700 [9] Kubert, D., Lang, S.: Units in the modular function field. IV. The Siegel functions are generators. Math. Ann.227, 223-242 (1977) · Zbl 0345.10012 · doi:10.1007/BF01361857 [10] Kubert, D., Lang, S.: Distributions on toroidal groups. Math. Z.148, 33-51 (1976) · Zbl 0324.10021 · doi:10.1007/BF01187867 [11] Kubert, D., Lang, S.: Thep-primary component of the cuspidal divisor class group on the modular curveX(p). Math. Ann.234, 25-44 (1978) · Zbl 0371.12025 · doi:10.1007/BF01409337 [12] Kubert, D., Lang, S.: Stickelberger ideals. Math. Ann.237, 203-212 (1978) · Zbl 0379.12009 · doi:10.1007/BF01420176 [13] Kubert, D., Lang, S.: The index of Stickelberger ideals of order 2 and cuspidal class numbers. Math. Ann.237, 213-232 (1978) · Zbl 0379.12010 · doi:10.1007/BF01420177 [14] Lang, S.: Introduction to modular forms. Berlin, Heidelberg, New York: Springer 1976 · Zbl 0344.10011 [15] Lang, S.: Cyclotomic fields. Berlin, Heidelberg, New York: Springer 1978 · Zbl 0395.12005 [16] Sinnott, W.: On the Stickelberger ideal and the circular units of a cyclotomic field. Ann. Math.108, 107-134 (1978) · Zbl 0395.12014 · doi:10.2307/1970932 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.