Inequalities concerning the function π(x): Applications
Acta Arithmetica (2000)
- Volume: 94, Issue: 4, page 373-381
- ISSN: 0065-1036
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top- [1] R. K. Guy, Unsolved Problems in Number Theory, Springer, 1981, p. 16.
- [2] D. K. Hensley and I. Richards, On the incompatibility of two conjectures concerning primes, in: Proc. Sympos. Pure Math. 24, H. G. Diamond (ed.), Amer. Math. Soc., 1974, 123-127. Zbl0264.10031
- [3] C. Karanikolov, On some properties of the function π(x), Univ. Beograd Publ. Elektrotehn. Fak. Ser. Mat. 1971, 357-380.
- [4] D. H. Lehmer, On the roots of the Riemann zeta-functions, Acta Math. 95 (1956), 291-298. Zbl0071.06603
- [5] H. L. Montgomery and R. C. Vaughan, The large sieve, Mathematika 20 (1973), 119-134. Zbl0296.10023
- [6] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94. Zbl0122.05001
- [7] J. B. Rosser and L. Schoenfeld, Sharper bounds for the Chebyshev functions θ(x) and ψ(x), Math. Comp. 129 (1975), 243-269. Zbl0295.10036
- [8] J. B. Rosser and L. Schoenfeld, Abstract of scientific communications, in: Intern. Congr. Math. Moscow, Section 3: Theory of Numbers, 1966.
- [9] J. B. Rosser, J. M. Yohe and L. Schoenfeld, Rigorous computation and the zeros of the Riemann zeta functions, in: Proc. IFIP Edinburgh, Vol. I: Mathematics Software, North-Holland, Amsterdam, 1969, 70-76. Zbl0191.44504
- [10] L. Schoenfeld, Sharper bounds for the Chebyshev functions θ(x) and ψ(x), II, Math. Comp. 134 (1976), 337-360. Zbl0326.10037
- [11] V. Udrescu, Some remarks concerning the conjecture π(x+y) < π(x)+π(y), Rev. Roumaine Math. Pures Appl. 20 (1975), 1201-1208. Zbl0319.10009