On some additive divisor problems

Yoichi MOTOHASHI

doi:10.2969/jmsj/02840772

Yoichi MOTOHASHI

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 4 Pages 772-784

DOI https://doi.org/10.2969/jmsj/02840772

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Published: 1976 Received: June 07, 1975 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) E. Bombieri, On the large sieve, Mathematika, 12 (1965), 201-225.
2) B. M. Bredikhin, The dispersion method and definite binary additive problems, Russian Math. Surveys, 20 (1965), 85-125.
3) P. X. Gallagher, The large sieve, Mathematica, 14 (1967), 14-20.
4) Ju. V. Linnik, The dispersion method in binary additive problems, Amer. Math. Soc., Providence, R. I., 1963.
5) Ju. V. Linnik and A. I. Vinogradov, Estimate of the sum of the number of divisors in a short segment of an arithmetic progression, Uspehi Math. Nauk, 12, 4(76), (1957), 277-280 (in Russian).
6) Y. Motohashi, An asymptotic formula in the theory of numbers, Acta Arith., 16 (1970), 255-264.
7) Y. Motohashi, On the representation of an integer as a sum of two squares and a product of four factors, J. Math. Soc. Japan, 25 (1973), 475-505.
8) Y. Motohashi, On the apppoximate functional equation of L-series, Surikaiseki Kenkyujo Kokyuroku (Res. Inst. Math. Sci. Kyoto Univ.), 193 (1973), 42-96 (in Japanese).
9) A. I. Vinogradov, On the density hypothesis for Dirichlet L-functions, Izv. Akad. Nauk SSSR s. m., 29 (1965), 903-934 (in Russian).
10) D. Wolke, Über das summatorische Verhalten zahlentheoretischer Funktionen, Math. Ann., 194 (1971), 147-166.
11) D. Wolke, Über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen, I, Math. Ann., 202 (1973), 1-25.

Right : [1] E. Bombieri, On the large sieve, Mathematika, 12 (1965), 201-225.
[2] B. M. Bredikhin, The dispersion method and definite binary additive problems, Russian Math. Surveys, 20 (1965), 85-125.
[3] P. X. Gallagher, The large sieve, Mathematica, 14 (1967), 14-20.
[4] Ju. V. Linnik, The dispersion method in binary additive problems, Amer. Math. Soc., Providence, R. I., 1963.
[5] Ju. V. Linnik and A. I. Vinogradov, Estimate of the sum of the number of divisors in a short segment of an arithmetic progression, Uspehi Math. Nauk, 12, 4(76), (1957), 277-280 (in Russian).
[6] Y. Motohashi, An asymptotic formula in the theory of numbers, Acta Arith., 16 (1970), 255-264.
[7] Y. Motohashi, On the representation of an integer as a sum of two squares and a product of four factors, J. Math. Soc. Japan, 25 (1973), 475-505.
[8] Y. Motohashi, On the apppoximate functional equation of L-series, Surikaiseki Kenkyujo Kokyuroku (Res. Inst. Math. Sci. Kyoto Univ.), 193 (1973), 42-96 (in Japanese).
[9] A. I. Vinogradov, On the density hypothesis for Dirichlet L-functions, Izv. Akad. Nauk SSSR s. m., 29 (1965), 903-934 (in Russian).
[10] D. Wolke, Über das summatorische Verhalten zahlentheoretischer Funktionen, Math. Ann., 194 (1971), 147-166.
[11] D. Wolke, Über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen, I, Math. Ann., 202 (1973), 1-25.

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

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