A note on a result of Bateman and Chowla

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Authors ¹, ²

Dipartimento di Matematica, Università di Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, U.K.

P. T. Bateman and S. Chowla, Some special trigonometric series related to the distribution of prime numbers, J. London Math. Soc. 38 (1963), 372-374.
A. S. Besicovitch, Problem on continuity, ibid. 36 (1961), 388-392.
H. Davenport, On some infinite series involving arithmetic functions (II), Quart. J. Math. (Oxford) 8 (1937), 313-320.
H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London, 1974.
H. Siebert, Einige Analoga zum Satz von Siegel-Walfisz, in: Zahlentheorie (Tagung, Math. Forschungsinst., Oberwolfach, 1970), Bibliographisches Inst., Mannheim, 1971, 173-184.
R. C. Vaughan, The Hardy-Littlewood Method, 2nd ed., Cambridge Tracts in Math. 125, Cambridge Univ. Press, Cambridge, 1997.