Zacytuj

[1] T. APOSTOL, Introduction to Analytic Number Theory, Springer-Verlag, 1976.10.1007/978-1-4757-5579-4Search in Google Scholar

[2] M.EL BACHRAOUI, Primes in the Interval [2n, 3n], Int. J. Contemp. Math. Sciences, Vol. 1 (2006), no. 13, 617-621.Search in Google Scholar

[3] D. BURDE, A remark on an inequality for the prime counting function, Math. Ineq. Appl. 10 (2007), no.1, 9-13.Search in Google Scholar

[4] P. DUSART, Sharper bounds for φ, θ, π, pn, Rapport de recherche 1998, Universite de Limoges.Search in Google Scholar

[5] J. HADAMARD, Etude sur les propriétés des fonctions entières et en parti-culier d'une fonction considerée par Riemann, Journal de Mathématiques Pures et Appliquees, volume 58 (1893), 171-215.Search in Google Scholar

[6] D.H. LEHMER, On the roots of the Riemann zeta-functions, Acta Math. 95 (1956), 291-298.10.1007/BF02401102Search in Google Scholar

[7] A. Loo, On the Primes in the Interval (3n, 4n), International Journal of Contemporary Mathematical Sciences 6 (38): 1871-1882, (2011)Search in Google Scholar

[8] G. MINCU, A few inequalities involving π(x), Analele Universităţii Bucureşti, Matematică, Anul LII, Nr.1 (2003), 55-64.Search in Google Scholar

[9] L. Panaitopol, Inequalities concerning the function π(x): Applications, Acta Arithmetica, XCIV (2000), no.4, 317-324.Search in Google Scholar

[10] J.B.ROSSER and L.SCHOENFELD, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94.Search in Google Scholar

[11] J. SÁNDOR, D.S. Mitrinovic and B. Crstici, Handbook of number theory I, first ed. 1996, by Kluwer Acad. Publ, 2nd printing 2006 by Springer Verlag.Search in Google Scholar

[12] J. SÁNDOR, On some inequalities of Dusart and Panaitopol on the function pi(x), Octogon Math. Mag. vol.14 (2006), no.2, 592-594.Search in Google Scholar

[13] J. SÁNDOR, On a conjecture of Miliakos, Octogon Math. Mag., vol.14, (2006), no.1, 450-451.Search in Google Scholar

[14] J. van de Lune, H. J. J. Te Riele and D.T. Winter, On the Zeros of the Riemann Zeta Function in the Critical Strip.IV, Math. Of Computation 46 (1986), no 174, 667-681.10.1090/S0025-5718-1986-0829637-3Search in Google Scholar

eISSN:
1844-0835
Język:
Angielski
Częstotliwość wydawania:
Volume Open
Dziedziny czasopisma:
Mathematics, General Mathematics