Some arithmetic on Dedekind sums

Tetsuya ASAI

doi:10.2969/jmsj/03810163

Tetsuya ASAI

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JOURNAL FREE ACCESS

1986 Volume 38 Issue 1 Pages 163-172

DOI https://doi.org/10.2969/jmsj/03810163

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Published: 1986 Received: October 23, 1984 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Tikao Tatsuzawa on his 70th birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) T. Asai, The reciprocity of Dedekind sums and the factor set for the universal covering group of SL (2, R), Nagoya Math. J., 37 (1970), 67-80.
2) L. Pinzur, On a question of Rademacher concerning Dedekind sums, Proc. Amer. Math. Soc., 61 (1976), 11-15.
3) H. Rademacher, Collected Papers, Vol. II, ed. by E. Grosswald, M. I. T. Press, Cambridge, Massachusetts, 1974.
4) H. Rademacher and E. Grosswald, “Dedekind Sums”. The Carus Math. Monographs, No. 16, Math. Assoc. Amer., Washington D. C., 1972.
5) K. H. Rosen, On the sign of some Dedekind sums, J. Number Theory, 9 (1977), 209-212.
6) H. Salié, Zum Wertvorrat der Dedekindschen Summen, Math. Z., 72 (1959), 61-75.
7) Ch. Nagasaka, Exceptional values of the Dedekind symbol, to appear in J. Number Theory.
8) T. Asai, The multiplier system of eta function and traces of unimodular matrices, to appear in “Number Theory and Combinatorics, Japan 1984”. ed. by Akiyama et al.
9) H. Saito, On missing trace values for the eta multipliers, submitted.

Right : [1] T. Asai, The reciprocity of Dedekind sums and the factor set for the universal covering group of SL (2,R), Nagoya Math. J., 37 (1970), 67-80.
[2] L. Pinzur, On a question of Rademacher concerning Dedekind sums, Proc. Amer. Math. Soc., 61 (1976), 11-15.
[3] H. Rademacher, Collected Papers, Vol. II, ed. by E. Grosswald, M. I. T. Press, Cambridge, Massachusetts, 1974.
[4] H. Rademacher and E. Grosswald, “Dedekind Sums”, The Carus Math. Monographs, No. 16, Math. Assoc. Amer., Washington D. C., 1972.
[5] K. H. Rosen, On the sign of some Dedekind sums, J. Number Theory, 9 (1977), 209-212.
[6] H. Salié, Zum Wertvorrat der Dedekindschen Summen, Math. Z., 72 (1959), 61-75.
[7] Ch. Nagasaka, Exceptional values of the Dedekind symbol, to appear in J. Number Theory.
[8] T. Asai, The multiplier system of eta function and traces of unimodular matrices, to appear in “Number Theory and Combinatorics, Japan 1984”. ed. by Akiyama et al.
[9] H. Saito, On missing trace values for the eta multipliers, submitted.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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