-
2
-
-
84966204912
-
3,1(x)
-
3,1(x), Math. Comp. 32 (1978), 571-576.
-
(1978)
Math. Comp.
, vol.32
, pp. 571-576
-
-
-
3
-
-
84961469129
-
12
-
12, J. Reine Angew. Math. 299/300 (1978), 234-237.
-
(1978)
J. Reine Angew. Math.
, vol.299-300
, pp. 234-237
-
-
-
5
-
-
0040735756
-
A new bound for the smallest x with π(x) > li(x)
-
_, _, A new bound for the smallest x with π(x) > li(x), Math. Comp. 69 (2000), 1285-1296.
-
(2000)
Math. Comp.
, vol.69
, pp. 1285-1296
-
-
-
6
-
-
0038979252
-
Zeros of Dirichlet L-functions near the real axis and Chebyshev's bias
-
C. Bays, K. Ford, R. H. Hudson, and M. Rubinstein, Zeros of Dirichlet L-functions near the real axis and Chebyshev's bias, J. Number Theory 87 (2001), 54-76.
-
(2001)
J. Number Theory
, vol.87
, pp. 54-76
-
-
Bays, C.1
Ford, K.2
Hudson, R.H.3
Rubinstein, M.4
-
8
-
-
84971187152
-
A formula for the exact number of primes below a given bound in any arithmetic progression
-
R. H. Hudson, A formula for the exact number of primes below a given bound in any arithmetic progression, Bull. Austral. Math. Soc. 16 (1977), 67-73.
-
(1977)
Bull. Austral. Math. Soc.
, vol.16
, pp. 67-73
-
-
Hudson, R.H.1
-
9
-
-
0038979249
-
A common combinatorial principle underlies Riemann's formula, the Chebyshev phenomenon, and other subtle effects in comparative prime number theory, I
-
_, A common combinatorial principle underlies Riemann's formula, the Chebyshev phenomenon, and other subtle effects in comparative prime number theory, I, J. Reine Angew. Math. 313 (1980), 133-150.
-
(1980)
J. Reine Angew. Math.
, vol.313
, pp. 133-150
-
-
-
10
-
-
77957179464
-
A contribution to the Shanks-Rényi race problem
-
J. Kaczorowski, A contribution to the Shanks-Rényi race problem, Quart. J. Math. Oxford Ser. (2) 449 (1993), 451-458.
-
(1993)
Quart. J. Math. Oxford Ser. (2)
, vol.449
, pp. 451-458
-
-
Kaczorowski, J.1
-
11
-
-
84961471226
-
Results on the distribution of primes
-
J. Kaczorowski, Results on the distribution of primes, J. Reine Angew. Math. 446 (1994), 89-113.
-
(1994)
J. Reine Angew. Math.
, vol.446
, pp. 89-113
-
-
Kaczorowski, J.1
-
12
-
-
0030470067
-
On the Shanks-Rényi race problem
-
_, On the Shanks-Rényi race problem, Acta Arith. 74 (1996), 31-46.
-
(1996)
Acta Arith.
, vol.74
, pp. 31-46
-
-
-
13
-
-
0001641053
-
Comparative prime number theory, I
-
S. Knapowski and P. Turán, Comparative prime number theory, I, Acta Math. Sci. Hungar. 13 (1962), 299-314; II, 13 (1962), 315-342; III, 13 (1962), 343-364; IV, 14 (1963), 31-42; V, 14 (1963), 43-63; VI, 14 (1963), 65-78; VII, 14 (1963), 241-250; VIII, 14 (1963), 251-268.
-
(1962)
Acta Math. Sci. Hungar.
, vol.13
, pp. 299-314
-
-
Knapowski, S.1
Turán, P.2
-
14
-
-
0005694567
-
Comparative prime number theory, II
-
S. Knapowski and P. Turán, Comparative prime number theory, I, Acta Math. Sci. Hungar. 13 (1962), 299-314; II, 13 (1962), 315-342; III, 13 (1962), 343-364; IV, 14 (1963), 31-42; V, 14 (1963), 43-63; VI, 14 (1963), 65-78; VII, 14 (1963), 241-250; VIII, 14 (1963), 251-268.
-
(1962)
Acta Math. Sci. Hungar.
, vol.13
, pp. 315-342
-
-
-
15
-
-
0005719844
-
Comparative prime number theory, III
-
S. Knapowski and P. Turán, Comparative prime number theory, I, Acta Math. Sci. Hungar. 13 (1962), 299-314; II, 13 (1962), 315-342; III, 13 (1962), 343-364; IV, 14 (1963), 31-42; V, 14 (1963), 43-63; VI, 14 (1963), 65-78; VII, 14 (1963), 241-250; VIII, 14 (1963), 251-268.
-
(1962)
Acta Math. Sci. Hungar.
, vol.13
, pp. 343-364
-
-
-
16
-
-
34250594697
-
Comparative prime number theory, IV
-
S. Knapowski and P. Turán, Comparative prime number theory, I, Acta Math. Sci. Hungar. 13 (1962), 299-314; II, 13 (1962), 315-342; III, 13 (1962), 343-364; IV, 14 (1963), 31-42; V, 14 (1963), 43-63; VI, 14 (1963), 65-78; VII, 14 (1963), 241-250; VIII, 14 (1963), 251-268.
-
(1963)
Acta Math. Sci. Hungar.
, vol.14
, pp. 31-42
-
-
-
17
-
-
34250591888
-
Comparative prime number theory, V
-
S. Knapowski and P. Turán, Comparative prime number theory, I, Acta Math. Sci. Hungar. 13 (1962), 299-314; II, 13 (1962), 315-342; III, 13 (1962), 343-364; IV, 14 (1963), 31-42; V, 14 (1963), 43-63; VI, 14 (1963), 65-78; VII, 14 (1963), 241-250; VIII, 14 (1963), 251-268.
-
(1963)
Acta Math. Sci. Hungar.
, vol.14
, pp. 43-63
-
-
-
18
-
-
34250595458
-
Comparative prime number theory, VI
-
S. Knapowski and P. Turán, Comparative prime number theory, I, Acta Math. Sci. Hungar. 13 (1962), 299-314; II, 13 (1962), 315-342; III, 13 (1962), 343-364; IV, 14 (1963), 31-42; V, 14 (1963), 43-63; VI, 14 (1963), 65-78; VII, 14 (1963), 241-250; VIII, 14 (1963), 251-268.
-
(1963)
Acta Math. Sci. Hungar.
, vol.14
, pp. 65-78
-
-
-
19
-
-
0005704673
-
Comparative prime number theory, VII
-
S. Knapowski and P. Turán, Comparative prime number theory, I, Acta Math. Sci. Hungar. 13 (1962), 299-314; II, 13 (1962), 315-342; III, 13 (1962), 343-364; IV, 14 (1963), 31-42; V, 14 (1963), 43-63; VI, 14 (1963), 65-78; VII, 14 (1963), 241-250; VIII, 14 (1963), 251-268.
-
(1963)
Acta Math. Sci. Hungar.
, vol.14
, pp. 241-250
-
-
-
20
-
-
0005719845
-
Comparative prime number theory, VIII
-
S. Knapowski and P. Turán, Comparative prime number theory, I, Acta Math. Sci. Hungar. 13 (1962), 299-314; II, 13 (1962), 315-342; III, 13 (1962), 343-364; IV, 14 (1963), 31-42; V, 14 (1963), 43-63; VI, 14 (1963), 65-78; VII, 14 (1963), 241-250; VIII, 14 (1963), 251-268.
-
(1963)
Acta Math. Sci. Hungar.
, vol.14
, pp. 251-268
-
-
-
21
-
-
0005730247
-
Further developments in the comparative prime-number theory, I
-
_, _, Further developments in the comparative prime-number theory, I, Acta Arith. 9 (1964), 23-40; II, 10 (1964), 293-313; III, 11 (1965), 115-127; IV, 11 (1965), 147-161; V, 11 (1965), 193-202; VI, 12 (1966), 85-96.
-
(1964)
Acta Arith.
, vol.9
, pp. 23-40
-
-
-
22
-
-
0005665896
-
Further developments in the comparative prime-number theory, II
-
_, _, Further developments in the comparative prime-number theory, I, Acta Arith. 9 (1964), 23-40; II, 10 (1964), 293-313; III, 11 (1965), 115-127; IV, 11 (1965), 147-161; V, 11 (1965), 193-202; VI, 12 (1966), 85-96.
-
(1964)
Acta Arith.
, vol.10
, pp. 293-313
-
-
-
23
-
-
0005737890
-
Further developments in the comparative prime-number theory, III
-
_, _, Further developments in the comparative prime-number theory, I, Acta Arith. 9 (1964), 23-40; II, 10 (1964), 293-313; III, 11 (1965), 115-127; IV, 11 (1965), 147-161; V, 11 (1965), 193-202; VI, 12 (1966), 85-96.
-
(1965)
Acta Arith.
, vol.11
, pp. 115-127
-
-
-
24
-
-
0005737890
-
Further developments in the comparative prime-number theory, IV
-
_, _, Further developments in the comparative prime-number theory, I, Acta Arith. 9 (1964), 23-40; II, 10 (1964), 293-313; III, 11 (1965), 115-127; IV, 11 (1965), 147-161; V, 11 (1965), 193-202; VI, 12 (1966), 85-96.
-
(1965)
Acta Arith.
, vol.11
, pp. 147-161
-
-
-
25
-
-
0005737890
-
Further developments in the comparative prime-number theory, V
-
_, _, Further developments in the comparative prime-number theory, I, Acta Arith. 9 (1964), 23-40; II, 10 (1964), 293-313; III, 11 (1965), 115-127; IV, 11 (1965), 147-161; V, 11 (1965), 193-202; VI, 12 (1966), 85-96.
-
(1965)
Acta Arith.
, vol.11
, pp. 193-202
-
-
-
26
-
-
0005667120
-
Further developments in the comparative prime-number theory, VI
-
_, _, Further developments in the comparative prime-number theory, I, Acta Arith. 9 (1964), 23-40; II, 10 (1964), 293-313; III, 11 (1965), 115-127; IV, 11 (1965), 147-161; V, 11 (1965), 193-202; VI, 12 (1966), 85-96.
-
(1966)
Acta Arith.
, vol.12
, pp. 85-96
-
-
-
28
-
-
0040351326
-
Note on the distribution of prime numbers
-
J. Leech, Note on the distribution of prime numbers, J. London Math. Soc. 32 (1957), 56-58.
-
(1957)
J. London Math. Soc.
, vol.32
, pp. 56-58
-
-
Leech, J.1
-
29
-
-
0040757506
-
On the difference π(x) - li(x)
-
R. S. Lehman, On the difference π(x) - li(x), Acta Arith. 11 (1966), 397-410.
-
(1966)
Acta Arith.
, vol.11
, pp. 397-410
-
-
Lehman, R.S.1
-
30
-
-
0001651390
-
Sur la distribution des nombres premiers
-
J. E. Littlewood, Sur la distribution des nombres premiers, C. R. Acad. Sci. Paris 158 (1914), 1869-1872.
-
(1914)
C. R. Acad. Sci. Paris
, vol.158
, pp. 1869-1872
-
-
Littlewood, J.E.1
-
31
-
-
84968470142
-
Explicit estimates for the error term in the prime number theorem for arithmetic progressions
-
K. S. McCurley, Explicit estimates for the error term in the prime number theorem for arithmetic progressions, Math. Comp. 42 (1984), 265-285.
-
(1984)
Math. Comp.
, vol.42
, pp. 265-285
-
-
McCurley, K.S.1
-
32
-
-
0030352506
-
Primes in arithmetic progressions
-
O. Ramaré and R. Rumely, Primes in arithmetic progressions, ibid. 65 (1996), 397-425.
-
(1996)
Math. Comp.
, vol.65
, pp. 397-425
-
-
Ramaré, O.1
Rumely, R.2
-
33
-
-
84968494049
-
On the sign difference π(x) - li(x)
-
H. J. J. te Riele, On the sign difference π(x) - li(x), ibid. 48 (1987), 323-328.
-
(1987)
Math. Comp.
, vol.48
, pp. 323-328
-
-
Te Riele, H.J.J.1
-
35
-
-
84972540003
-
Approximate formulas for some functions of prime numbers
-
J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94.
-
(1962)
Illinois J. Math.
, vol.6
, pp. 64-94
-
-
Rosser, J.B.1
Schoenfeld, L.2
-
37
-
-
84966201811
-
Numerical computations concerning the ERH
-
R. Rumely, Numerical computations concerning the ERH, Math. Comp. 61 (1993), 415-440.
-
(1993)
Math. Comp.
, vol.61
, pp. 415-440
-
-
Rumely, R.1
-
38
-
-
0039572055
-
-
note
-
_, CD-ROM containing lists of zeros of Dirichlet L-functions.
-
-
-
-
39
-
-
84968521841
-
Quadratic residues and the distribution of primes
-
D. Shanks, Quadratic residues and the distribution of primes, Math. Comp. 13 (1959), 272-284.
-
(1959)
Math. Comp.
, vol.13
, pp. 272-284
-
-
Shanks, D.1
-
40
-
-
84963001775
-
On the difference π(x) - li(x)
-
S. Skewes, On the difference π(x) - li(x), J. London Math. Soc. 8 (1933), 277-283.
-
(1933)
J. London Math. Soc.
, vol.8
, pp. 277-283
-
-
Skewes, S.1
-
41
-
-
84963101472
-
On the difference π(x)-li(x)
-
_, On the difference π(x)-li(x), Proc. London Math. Soc. (3) 5 (1955), 48-70.
-
(1955)
Proc. London Math. Soc. (3)
, vol.5
, pp. 48-70
-
-
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