On a conjecture of S. Chowla and of S. Chowla and H. Walum, III
Shigeru Kanemitsu and Rudrabhatla Sitaramachandra Rao
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 56, Number 4
(1980), 185-187.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1195516905
Mathematical Reviews number (MathSciNet): MR576001
Zentralblatt MATH identifier: 0467.10033
Digital Object Identifier: doi:10.3792/pjaa.56.185
References
[1] B. C. Berndt: On the average order of some arithmetical functions. Bull. Amer. Math. Soc, 76, 856-859 (1970).
Mathematical Reviews (MathSciNet): MR260686
Zentralblatt MATH: 0197.32101
Digital Object Identifier: doi:10.1090/S0002-9904-1970-12585-X
Project Euclid: euclid.bams/1183532109
[2] K. Chandrasekharan and Raghavan Narasimhan: Functional equations with multiple gamma factors and the average order of arithmetical functions. Ann. of Math., 76, 93-136 (1962).
Mathematical Reviews (MathSciNet): MR140491
Zentralblatt MATH: 0211.37901
Digital Object Identifier: doi:10.2307/1970267
[3] S. Chowla and H. Walum: On the divisor problem. Norske Vid. Selsk. Forh. (Trondheim), 36, 127-134 (1963); Proc. Sympos. Pure Math., vol. 8, Amer. Math. Soc, Providence, R. I., pp. 138-143 (1965).
Mathematical Reviews (MathSciNet): MR160761
Zentralblatt MATH: 0136.33704
[4] S. Chowla: The Riemann hypothesis and Hibert's tenth problem. Math, and its Applications. Vol. 4, Gordon and Breach, New York (1965).
Mathematical Reviews (MathSciNet): MR177943
Zentralblatt MATH: 0133.30003
[5] G. H. Hardy: The average order of the arithmetical functions P(x) and J(x). Proc. London Math. Soc, 15(2), 192-213 (1916); Collected papers II, pp. 294-315.
[6] S. Kanemitsu and R. Sita Rama Chandra Rao: On a conjecture of S. Chowla and of S. Chowla and H. Walum (to appear).
[7] S. Kanemitsu and R. Sita Rama Chandra Rao: Ditto. II (to appear).
[8] A. Walfisz: Teilerprobleme. Vierte Abhandlung. Annali della Scuola Norm. Sup.-Pisa, 5(2), 289-298 (1936).
Mathematical Reviews (MathSciNet): MR1556777
[9] S. Wigert: Sur quelques fonctions arithmetique. Acta Math., 37, 113-140 (1914).
Mathematical Reviews (MathSciNet): MR1555096
Digital Object Identifier: doi:10.1007/BF02401831
Proceedings of the Japan Academy, Series A, Mathematical Sciences
