A generalization of Maillet’s determinant and a bound for the first factor of the class number
HTML articles powered by AMS MathViewer
- by L. Carlitz PDF
- Proc. Amer. Math. Soc. 12 (1961), 256-261 Request permission
References
- N. C. Ankeny and S. Chowla, The class number of the cyclotomic field, Canad. J. Math. 3 (1951), 486–494. MR 45160, DOI 10.4153/cjm-1951-049-7
- L. Carlitz, Arithmetic properties of generalized Bernoulli numbers, J. Reine Angew. Math. 202 (1959), 174–182. MR 109132, DOI 10.1515/crll.1959.202.174
- L. Carlitz and F. R. Olson, Maillet’s determinant, Proc. Amer. Math. Soc. 6 (1955), 265–269. MR 69207, DOI 10.1090/S0002-9939-1955-0069207-2 E. E. Kummer, Sur la théorie des nombres complexes composés de racines de l’unité et de nombres entiers, J. Math. Pures Appl. vol. 16 (1851) pp. 377-498.
- Heinrich-Wolfgang Leopoldt, Eine Verallgemeinerung der Bernoullischen Zahlen, Abh. Math. Sem. Univ. Hamburg 22 (1958), 131–140 (German). MR 92812, DOI 10.1007/BF02941946 T. Muir, Contributions to the history of determinants 1900-1920, Glasgow, Blackie, 1930.
- H. W. Turnbull, On certain modular determinants, Edinburgh Math. Notes 1941 (1941), no. 32, 23–30. MR 6983 E. T. Whittaker and G. N. Watson, Modern analysis, 4th edition, Cambridge, University Press, 1927.
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 256-261
- MSC: Primary 10.00
- DOI: https://doi.org/10.1090/S0002-9939-1961-0121354-5
- MathSciNet review: 0121354