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Gallagher, P. X.

A large sieve density estimate near \(\sigma = 1\). (English) Zbl 0219.10048

Invent. Math. 11, 329-339 (1970).
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Cited in 19 Reviews
Cited in 141 Documents

MSC:

11M26 Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses
11N35 Sieves
11L07 Estimates on exponential sums
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\textit{P. X. Gallagher}, Invent. Math. 11, 329--339 (1970; Zbl 0219.10048)
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References:

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[2] ?, Davenport, H.: On the large sieve method. Abhandlungen aus Zahlentheorie und Analysis. Berlin: VEB Deutscher Verlag der Wissenschaften 1968.
[3] Chen, Jing-Run.: On the least prime in an arithmetical progression. Sci. Sinica14, 1868-1871 (1965). · Zbl 0146.27502
[4] Davenport, H.: Multiplicative number theory. Chicago: Markham 1967. · Zbl 0159.06303
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[11] van Lint, J. H., Richert, H.-E.: On primes in arithmetic progressions. Acta Arith.11, 209-216 (1965). · Zbl 0133.29901
[12] Montgomery, H. L.: Mean and large values of Dirichlet polynomials. Inventiones math.8, 334-345 (1969). · Zbl 0204.37301
[13] ?: Zeros ofL-functions. Invent. Math.8, 346-354 (1969). · Zbl 0204.37401
[14] Prachar, K.: Primzahlverteilung. Berlin-Göttingen-Heidelberg: Springer 1957.
[15] Sos, V., Turán, P.: On some new theorems in the theory of diophantine approximations. Acta. Math. Hung.6, 241-253 (1955). · Zbl 0066.29304
[16] Turán, P.: On a density theorem of Yu. V. Linnik. Publ. Math. Inst. Hung. Acad. Sci., Ser. A6, 165-179 (1961). · Zbl 0146.05802
[17] ?: Analysis and diophantine approximation. Istituto Nazionale di Alta Mathematica. Symposia Mathematica4, 133-153 (1970).
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