On some inequalities concerning π(x)

被引：8

作者：

Garunkstis, R ^{[1
]}

机构：

[1] Vilnius State Univ, Dept Math & Informat, LT-2600 Vilnius, Lithuania

来源：

EXPERIMENTAL MATHEMATICS | 2002年 / 11卷 / 02期

关键词：

distribution of prime numbers; prime counting function; Hardy-Littlewood's conjecture;

D O I：

10.1080/10586458.2002.10504693

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the inequalities pi (M + N) less than or equal to api(M/a) + pi(N) and pi(M + N) less than or equal to a (pi(M/a) + pi,(N/a)) with a greater than or equal to 1.

引用

页码：297 / 301

页数：5

共 50 条

[1] CONCERNING SOME THERMODYNAMIC INEQUALITIES
SILIN, VP
SOVIET PHYSICS JETP-USSR, 1956, 3 (01): : 123 - 125
[2] SOME INEQUALITIES CONCERNING IMMANANTS
HEYFRON, P
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1991, 109 : 15 - 30
[3] Inequalities concerning the function π(x):: Applications
Panaitopol, L
ACTA ARITHMETICA, 2000, 94 (04) : 373 - 381
[4] On some inequalities concerning the polar derivative of a polynomial
Liman, A.
Peer, I. Q.
Shah, W. M.
RAMANUJAN JOURNAL, 2015, 38 (02): : 349 - 360
[5] SOME NORM INEQUALITIES CONCERNING GENERALIZED INVERSES
MAHER, PJ
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 174 : 99 - 110
[6] SOME INEQUALITIES CONCERNING RANDOM SUBSETS OF A SET
HWANG, FK
SHEPP, LA
IEEE TRANSACTIONS ON INFORMATION THEORY, 1987, 33 (04) : 596 - 598
[7] SOME INEQUALITIES CONCERNING SERIES OF POSITIVE TERMS
LEINDLER, L
ACTA SCIENTIARUM MATHEMATICARUM, 1972, 33 (1-2): : 11 - &
[8] Some inequalities concerning the rate of growth of polynomials
Mir, Adullah
Dewan, K. K.
Singh, Naresh
TURKISH JOURNAL OF MATHEMATICS, 2009, 33 (03) : 239 - 247
[9] On some open questions concerning determinantal inequalities
Ghabries, Mohammad M.
Abbas, Hassane
Mourad, Bassam
LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 596 : 169 - 183
[10] Concerning Some Inequalities in the Theory of Statistical Estimation
Barankin, Edward W.
SKANDINAVISK AKTUARIETIDSKRIFT, 1951, 34 (1-2): : 35 - 40

← 1 2 3 4 5 →