-
1
-
-
0000322070
-
The difference between consecutive primes
-
R.C. Baker and G. Harman, "The difference between consecutive primes," Proc. London Math. Soc. 72(3) (1996), 261-280.
-
(1996)
Proc. London Math. Soc.
, vol.72
, Issue.3
, pp. 261-280
-
-
Baker, R.C.1
Harman, G.2
-
2
-
-
84968508650
-
A heuristic asymptotic formula concerning the distribution of prime numbers
-
P.T. Bateman and R.A. Horn, "A heuristic asymptotic formula concerning the distribution of prime numbers," Math. Comp. 16 (1962), 363-367.
-
(1962)
Math. Comp.
, vol.16
, pp. 363-367
-
-
Bateman, P.T.1
Horn, R.A.2
-
4
-
-
84934688736
-
Note on Euler's φ-function
-
R.D. Carmichael, "Note on Euler's φ-function," Bull. Amer. Math. Soc. 28 (1922), 109-110.
-
(1922)
Bull. Amer. Math. Soc.
, vol.28
, pp. 109-110
-
-
Carmichael, R.D.1
-
5
-
-
0013482229
-
Arithmetical functions associated with the unitary divisors of an integer
-
E. Cohen, "Arithmetical functions associated with the unitary divisors of an integer," Math. Z. 74 (1960), 66-80.
-
(1960)
Math. Z.
, vol.74
, pp. 66-80
-
-
Cohen, E.1
-
6
-
-
0001034847
-
A new extension of Dirichlet's theorem on prime numbers
-
L.E. Dickson, "A new extension of Dirichlet's theorem on prime numbers," Messenger of Math. 33 (1904), 155-161.
-
(1904)
Messenger of Math.
, vol.33
, pp. 155-161
-
-
Dickson, L.E.1
-
7
-
-
0000424216
-
On the normal number of prime factors of p - 1 and some related problems concerning Euler's φ-function
-
P. Erdos, "On the normal number of prime factors of p - 1 and some related problems concerning Euler's φ-function," Quart. J. Math. (Oxford) (1935), 205-213.
-
(1935)
Quart. J. Math. (Oxford)
, pp. 205-213
-
-
Erdos, P.1
-
8
-
-
0011277242
-
Some remarks on Euler's φ-function and some related problems
-
P. Erdos, "Some remarks on Euler's φ-function and some related problems," Bull. Amer. Math. Soc. 51 (1945), 540-544.
-
(1945)
Bull. Amer. Math. Soc.
, vol.51
, pp. 540-544
-
-
Erdos, P.1
-
9
-
-
0009154571
-
Some remarks on Euler's φ-function
-
P. Erdos, "Some remarks on Euler's φ-function," Acta Arith. 4 (1958), 10-19.
-
(1958)
Acta Arith.
, vol.4
, pp. 10-19
-
-
Erdos, P.1
-
10
-
-
27144537468
-
On the values of Euler's φ-function
-
P. Erdos and R.R. Hall, "On the values of Euler's φ-function," Acta Arith. 22 (1973), 201-206.
-
(1973)
Acta Arith.
, vol.22
, pp. 201-206
-
-
Erdos, P.1
Hall, R.R.2
-
11
-
-
27144504789
-
Distinct values of Euler's φ-function
-
P. Erdos and R.R. Hall, "Distinct values of Euler's φ-function," Mathematika 23 (1976), 1-3.
-
(1976)
Mathematika
, vol.23
, pp. 1-3
-
-
Erdos, P.1
Hall, R.R.2
-
12
-
-
0000857188
-
On the normal number of prime factors of φ (n)
-
P. Erdos and C. Pomerance, "On the normal number of prime factors of φ (n)," Rocky Mountain J. of Math. 15(1985), 343-352.
-
(1985)
Rocky Mountain J. of Math.
, vol.15
, pp. 343-352
-
-
Erdos, P.1
Pomerance, C.2
-
14
-
-
27144460282
-
The number of solutions of φ(x) = m
-
to appear
-
K. Ford, "The number of solutions of φ(x) = m" Annals of Math, (to appear).
-
Annals of Math
-
-
Ford, K.1
-
15
-
-
0003383380
-
Shifted primes without large prime factors
-
Banff, AB, 1988, Kluwer Acad. Publ., Dorbrecht
-
J. Friedlander, "Shifted primes without large prime factors," Number theory and applications (Banff, AB, 1988), Kluwer Acad. Publ., Dorbrecht 1989, pp. 393-101.
-
(1989)
Number Theory and Applications
, pp. 393-1101
-
-
Friedlander, J.1
-
18
-
-
33646862107
-
Some problems of 'Partitio Numerorum': III. on the representation of a number as a sum of primes
-
G.H. Hardy and J.E. Littlewood, "Some problems of 'Partitio Numerorum': III. On the representation of a number as a sum of primes," Acta Math. 44 (1923) 1-70.
-
(1923)
Acta Math.
, vol.44
, pp. 1-70
-
-
Hardy, G.H.1
Littlewood, J.E.2
-
19
-
-
0002894335
-
The normal number of prime factors of a number n
-
G.H. Hardy and S. Ramanujan, "The normal number of prime factors of a number n," Quart. J. Math. 48 (1917), 76-92.
-
(1917)
Quart. J. Math.
, vol.48
, pp. 76-92
-
-
Hardy, G.H.1
Ramanujan, S.2
-
21
-
-
27144434128
-
On a conjecture of Carmichael
-
V. Klee, "On a conjecture of Carmichael," Bull. Amer. Math. Soc. 53 (1947), 1183-1186.
-
(1947)
Bull. Amer. Math. Soc.
, vol.53
, pp. 1183-1186
-
-
Klee, V.1
-
22
-
-
27144528786
-
A half step towards Carmichael's conjecture, solution to problem 6671
-
L.E. Mattics, "A half step towards Carmichael's conjecture, solution to problem 6671," Amer. Math. Monthly 100 (1993), 694-695.
-
(1993)
Amer. Math. Monthly
, vol.100
, pp. 694-695
-
-
Mattics, L.E.1
-
23
-
-
0042867860
-
On the number of distinct values of Euler's φ-function
-
H. Maier and C. Pomerance, "On the number of distinct values of Euler's φ-function," Acta Arith. 49 (1988), 263-275.
-
(1988)
Acta Arith.
, vol.49
, pp. 263-275
-
-
Maier, H.1
Pomerance, C.2
-
24
-
-
27144445353
-
A lower bound for a counterexample to Carmichael's Conjecture
-
P. Masai and A. Valette, "A lower bound for a counterexample to Carmichael's Conjecture," Bollettino U.M.I. (1982), 313-316.
-
(1982)
Bollettino U.M.I.
, pp. 313-316
-
-
Masai, P.1
Valette, A.2
-
25
-
-
27144537205
-
On some functions connected with φ(n)
-
S. Pillai, "On some functions connected with φ(n)," Bull. Amer. Math. Soc. 35 (1929), 832-836.
-
(1929)
Bull. Amer. Math. Soc.
, vol.35
, pp. 832-836
-
-
Pillai, S.1
-
26
-
-
27144482791
-
On the distribution of the values of Euler's function
-
C. Pomerance, "On the distribution of the values of Euler's function," Acta Arith. 47 (1986), 63-70.
-
(1986)
Acta Arith.
, vol.47
, pp. 63-70
-
-
Pomerance, C.1
-
28
-
-
0009292601
-
Sur l'equation φ(x) = m
-
A. Schinzel, "Sur l'equation φ(x) = m," Elem. Math. 11 (1956), 75-78.
-
(1956)
Elem. Math.
, vol.11
, pp. 75-78
-
-
Schinzel, A.1
-
29
-
-
0002283209
-
Remarks on the paper 'Sur certaines hypothèses concernant les nombres premiers'
-
A. Schinzel, "Remarks on the paper 'Sur certaines hypothèses concernant les nombres premiers'", Acta Arith. 7 (1961/62), 1-8.
-
(1961)
Acta Arith.
, vol.7
, pp. 1-8
-
-
Schinzel, A.1
-
30
-
-
0000579840
-
Sur certaines hypothèses concernant les nombres premiers
-
A. Schinzel and W. Sierpiński, "Sur certaines hypothèses concernant les nombres premiers," Acta Arith. 4 (1958), 185-208.
-
(1958)
Acta Arith.
, vol.4
, pp. 185-208
-
-
Schinzel, A.1
Sierpiński, W.2
-
31
-
-
84968495021
-
10,000,000
-
10,000,000", Math. Comp. 63 (1994), 415-419.
-
(1994)
Math. Comp.
, vol.63
, pp. 415-419
-
-
Schlafly, A.1
Wagon, S.2
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