Satoh, Junya A recurrence formula for \(q\)-Bernoulli numbers attached to formal group. (English) Zbl 1001.11011 Nagoya Math. J. 157, 93-101 (2000). The author introduces \(q\)-Bernoulli numbers attached to a formal group. For an appropriate case of the formal group law, this includes Carlitz’s \(q\)-Bernoulli numbers [L. Carlitz, Duke Math. J. 15, 987-1000 (1948; Zbl 0032.00304)]. In this framework an analog is proved of the recurrences for the Bernoulli numbers found by M. Kaneko [Proc. Japan Acad., Ser. A 71, 192-193 (1995; Zbl 0854.11012)]. Reviewer: Anatoly N.Kochubei (Kyïv) Cited in 2 Documents MSC: 11B68 Bernoulli and Euler numbers and polynomials 05A30 \(q\)-calculus and related topics 14L05 Formal groups, \(p\)-divisible groups Keywords:\(q\)-Bernoulli numbers; formal group; recurrences Citations:Zbl 0032.00304; Zbl 0854.11012 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] DOI: 10.3792/pjaa.71.192 · Zbl 0854.11012 · doi:10.3792/pjaa.71.192 [2] DOI: 10.1215/S0012-7094-48-01588-9 · Zbl 0032.00304 · doi:10.1215/S0012-7094-48-01588-9 [3] DOI: 10.1016/0022-314X(89)90078-4 · Zbl 0675.12010 · doi:10.1016/0022-314X(89)90078-4 [4] Japan. J. Math 20 pp 73– (1994) [5] Nagoya Math. J 127 pp 129– (1992) · Zbl 0761.11023 · doi:10.1017/S002776300000413X [6] Preprint Ser. in Math. Sciences, Nagoya Univ (1999) 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.