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Bateman, P. T.; Chowla, Sarvadaman

Averages of character sums. (English) Zbl 0041.01904

Proc. Am. Math. Soc. 1, 781-787 (1950).
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Number theory
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\textit{P. T. Bateman} and \textit{S. Chowla}, Proc. Am. Math. Soc. 1, 781--787 (1950; Zbl 0041.01904)
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References:

[1] S. Chowla, On the \?-analogue of a result in the theory of the Riemann zeta function, Math. Z. 38 (1934), no. 1, 483 – 487. · JFM 60.0153.02
[2] S. Chowla, On the class-number of the corpus \?(\sqrt -\?), Proc. Nat. Inst. Sci. India 13 (1947), 197 – 200.
[3] H. Davenport, On Dirichlet’s \( L\)-functions, J. London Math. Soc. vol. 6 (1931) pp. 198-202. · JFM 57.0210.02
[4] Loo-Keng Hua, On character sums, Acad. Sinica Science Record 1 (1942), 21 – 23. · Zbl 0060.10909
[5] Loo-keng Hua, On the least primitive root of a prime, Bull. Amer. Math. Soc. 48 (1942), 726 – 730. · Zbl 0061.06606
[6] Loo-keng Hua, On the least solution of Pell’s equation, Bull. Amer. Math. Soc. 48 (1942), 731 – 735. · Zbl 0060.11606
[7] E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, vol. 1, Leipzig, 1909. · JFM 40.0232.08
[8] -, Abschätzungen von Charaktersummen, Einheiten, und Klassenzahlen, Nachr. Ges. Wiss. Göttingen (1918) pp. 79-97.
[9] -, Vorlesungen über Zahlentheorie, vol. 1, Leipzig, 1927.
[10] Edmund Landau, Der Paleysche Satz über Charaktere, Math. Z. 37 (1933), no. 1, 28 – 32 (German). · Zbl 0006.25501
[11] Yu. V. Linnik and A. A. Ren\(^{\prime}\)i, On certain hypotheses in the theory of Dirichlet characters, Izvestiya Akad. Nauk SSSR. Ser. Mat. 11 (1947), 539 – 546 (Russian). · Zbl 0031.01101
[12] R. E. A. C. Paley, A theorem on characters, J. London Math. Soc. vol. 7 (1932) pp. 28-32. · Zbl 0003.34101
[13] G. Pólya, Über die Verteilung der quadratischen Reste und Nichtreste, Nachr. Ges. Wiss. Göttingen (1918) pp. 21-29. · JFM 46.0265.02
[14] J. Schur, Einige Bemerkungen zu den vorstehenden Arbeit des Herrn G. Pólya, Nachr. Ges. Wiss. Göttingen (1918) pp. 30-36. · JFM 46.0266.01
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