On a problem of Yamamoto concerning biquadratic Gauss sums, II

Hiroshi ITO

doi:10.2969/jmsj/04040647

Hiroshi ITO

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JOURNAL FREE ACCESS

1988 Volume 40 Issue 4 Pages 647-660

DOI https://doi.org/10.2969/jmsj/04040647

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Published: 1988 Received: April 20, 1987 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: CITATION Details: Wrong : 1) M.P. Barkan, Sur des sommes de caractéres liées aux nombres de classe des corps abéliens imaginaries, C.R. Acad. Sci. Paris. Sér. A-B, 281 (1975), 887-890.
2) B. C. Berndt and R. J. Evans, The determination of Gauss sums, Bull. Amer. Math. Soc., 5(1981), 107-129.
3) P. D. T. A. Elliott, On the mean value of f(p), Proc. London Math. Soc., 21 (1970), 28-96.
4) P. D. T. A. Elliott, On distribution functions (mod 1): Quantitative Fourier inversion, J. Number Theory, 4 (1972), 509-522.
5) P. D. T. A. Elliott, On the distribution of quadratic L-series in the half-plane σ>1/2, Invent. Math., 21 (1973), 319-338.
6) P. D. T. A. Elliott, Probabilistic Number Theory I, II, Springer, 1979, 1980.
7) H. Ito, On a problem of Yamamoto concerning biquadratic Gauss sums, Proc. Japan Acad., Ser. A, 63 (1987), 35-38.
8) T. Mitsui, Generalized prime number theorem, Japan. J. Math., 26 (1956), 1-42.
9) J. B. Rosser, Explicit bounds for some functions of prime numbers, Amer. J. Math., 63 (1941), 211-232.
10) K. Yamamoto, On Gaussian sums with biquadratic residue characters, J. Reine Angew. Math., 219 (1965), 200-213.

Right : [1] M. P. Barkan, Sur des sommes de caractéres liées aux nombres de classe des corps abéliens imaginaries, C. R. Acad. Sci. Paris. Sér. A-B, 281 (1975), 887-890.
[2] B. C. Berndt and R. J. Evans, The determination of Gauss sums, Bull. Amer. Math. Soc., 5 (1981), 107-129.
[3] P. D. T. A. Elliott, On the mean value of f (p), Proc. London Math. Soc., 21 (1970), 28-96.
[4] P. D. T. A. Elliott, On distribution functions (mod 1): Quantitative Fourier inversion, J. Number Theory, 4 (1972), 509-522.
[5] P. D. T. A. Elliott, On the distribution of quadratic L-series in the half-plane σ>1/2, Invent. Math., 21 (1973), 319-338.
[6] P. D. T. A. Elliott, Probabilistic Number Theory I, II, Springer, 1979, 1980.
[7] H. Ito, On a problem of Yamamoto concerning biquadratic Gauss sums, Proc. Japan Acad., Ser. A, 63 (1987), 35-38.
[8] T. Mitsui, Generalized prime number theorem, Japan. J. Math., 26 (1956), 1-42.
[9] J. B. Rosser, Explicit bounds for some functions of prime numbers, Amer. J. Math., 63 (1941), 211-232.
[10] K. Yamamoto, On Gaussian sums with biquadratic residue characters, J. Reine Angew. Math., 219 (1965), 200-213.

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