Tempesta, Piergiulio Formal groups, Bernoulli-type polynomials and \(L\)-series. (English) Zbl 1163.11063 C. R., Math., Acad. Sci. Paris 345, No. 6, 303-306 (2007). Summary: A new construction relating formal groups, a class of Appell polynomials called the universal Bernoulli polynomials and a family of Dirichlet L-series is proposed. Universal Bernoulli \(\chi\)-numbers as well as generalized Riemann-Hurwitz zeta functions are introduced. Cited in 20 Documents MSC: 11M41 Other Dirichlet series and zeta functions 11B68 Bernoulli and Euler numbers and polynomials 14L30 Group actions on varieties or schemes (quotients) PDFBibTeX XMLCite \textit{P. Tempesta}, C. R., Math., Acad. Sci. Paris 345, No. 6, 303--306 (2007; Zbl 1163.11063) Full Text: DOI References: [1] Adelberg, A., Universal higher order Bernoulli numbers and Kummer and related congruences, J. Number Theory, 84, 119-135 (2000) · Zbl 0971.11004 [2] Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P., Formal groups and their role in the apparatus of algebraic topology, Uspekhi Mat. Nauk, 26, 2, 161 (1971) · Zbl 0224.57006 [3] Baker, A., Combinatorial and arithmetic identities based on formal group laws, (Lecture Notes in Math., vol. 1298 (1987), Springer), 17-34 [4] Clarke, F., The universal von Staudt theorems, Trans. Amer. Math. Soc., 315, 591-603 (1989) · Zbl 0683.10013 [5] Hazewinkel, M., Formal Groups and Applications (1978), Academic Press · Zbl 0454.14020 [6] Ray, N., Stirling and Bernoulli numbers for complex oriented homology theory, (Carlsson, G.; Cohen, R. L.; Miller, H. R.; Ravenel, D. C., Algebraic Topology. Algebraic Topology, Lecture Notes in Math., vol. 1370 (1986), Springer-Verlag), 362-373 [7] Rota, G. C., Finite Operator Calculus (1975), Academic Press: Academic Press New York [8] J.-P. Serre, Courbes elliptiques et groupes formels, Annuaire du Collège de France (1966), 49-58 (Oeuvres, vol. II, 71, 315-324); J.-P. Serre, Courbes elliptiques et groupes formels, Annuaire du Collège de France (1966), 49-58 (Oeuvres, vol. II, 71, 315-324) [9] P. Tempesta, New Appell sequences of polynomials of Bernoulli and Euler type, J. Math. Anal. Appl. (2007), in press; P. Tempesta, New Appell sequences of polynomials of Bernoulli and Euler type, J. Math. Anal. Appl. (2007), in press · Zbl 1176.11007 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.