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A note on Siegel’s zeros. (English) Zbl 0445.10031


MSC:

11M06 \(\zeta (s)\) and \(L(s, \chi)\)
11N13 Primes in congruence classes
11N35 Sieves
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References:

[1] E. Bombieri and H. Davenport: On the large sieve method. Number Theory and Analysis (Papers in Honour of E. Landau), New York, pp. 9-22 (1969). · Zbl 0207.05702
[2] P. X. Gallagher: A large sieve density estimate near a-l. Invent. Math., 11, 329-339 (1970). · Zbl 0219.10048 · doi:10.1007/BF01403187
[3] Y. Motohashi: On some improvements of the Brun-Titchmarsh theorem. J. Math. Soc. Japan, 26, 306-323 (1974). · Zbl 0273.10040 · doi:10.2969/jmsj/02620306
[4] Y. Motohashi: Primes in arithmetic progressions. Invent. Math., 44, 163-178 (1978). · Zbl 0367.10040 · doi:10.1007/BF01390349
[5] Y. Motohashi: Large sieve extensions of the Brun-Titchmarsh theorem (to appear). · Zbl 0519.10036
[6] K. Pracher: Primzahlverteilung. Springer (1957). · Zbl 0080.25901
[7] H. Siebert: Sieve methods and Siegel’s zeros (to appear). · Zbl 0519.10035
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