Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-24T23:49:47.513Z Has data issue: false hasContentIssue false
  • English
  • Français

On the series for L(1, x)

Published online by Cambridge University Press:  22 January 2016

Ming-Guang Leu  and
Wen-Ch’ing Winnie Li
Ming-Guang Leu
Affiliation:
Department of Mathematics National Central University, Chung-Li, Taiwan 32054, Republic of China
Wen-Ch’ing Winnie Li
Affiliation:
Department of Mathematics Pennsylvania State University University, Park Pennsylvania 16802, U.S.A.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let k be a positive integer greater than 1, and let X(n) be a real primitive character modulo k, The series

can be divided into groups of k consecutive terms.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 141 , March 1996 , pp. 125 - 142
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

References

[ 1 ] Ayoub, R., An Introduction to the Analytic Theory of Numbers, Mathematical surveys, No. 10, Amer. Math. Soc, Providence, 1963.Google Scholar
[ 2 ] Bateman, P. T. and Chowla, S., The equivalence of two conjectures in the theory of numbers, J. Indian Math. Soc. (N. S.) 17 (1954), 177–181.Google Scholar
[ 3 ] Davenport, H., On the series for L(1), J. London Math. Soc. 24 (1949), 229–233.Google Scholar
[ 4 ] Ono, T., A deformation of Dirichlet’s class number formula, Algebraic Analysis 2 (1988), 659–666.Google Scholar
[ 5 ] Washington, L. C., Introduction to cyclotomic fields, Springer-Verlag, New York, 1982.CrossRefGoogle Scholar
[ 6 ] Williams, H. C. and Broere, J., A computational technique for evaluating L(1, X) and the class number of a real quadratic field, Math. Comp., 30 (1976), 887–893.Google Scholar
[ 7 ] Leu, M.-G., On a problem of Davenport and Erdös concerning the series for L(1, X) (1995), submitted.Google Scholar