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[1] A. Bayad and J. Chikhi.
M\"obius inversion formulae for Apostol-Bernoulli type polynomials and numbers.
Math. Comp.
Abstract, references, and article information
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[2] Kevin Broughan, Sergio Guzman Sanchez and Florian Luca.
Perfect repdigits.
Math. Comp.
Abstract, references, and article information
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[3] Pascal Ochem and Michaël Rao.
Odd perfect numbers are greater than $10^{1500}$.
Math. Comp.
81
(2012)
1869-1877.
Abstract, references, and article information
View Article: PDF
[4] S. Adam Fletcher, Pace P. Nielsen and Pascal Ochem.
Sieve methods for odd perfect numbers.
Math. Comp.
81
(2012)
1753-1776.
Abstract, references, and article information
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[5] Qing-Zhong Ji and Chun-Gang Ji.
On the periodicity of some Farhi arithmetical functions.
Proc. Amer. Math. Soc.
138
(2010)
3025-3035.
MR 2653927.
Abstract, references, and article information
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[6] Jean-Marie De Koninck, John B. Friedlander and Florian Luca.
On strings of consecutive integers with a distinct number of prime factors.
Proc. Amer. Math. Soc.
137
(2009)
1585-1592.
MR 2470816.
Abstract, references, and article information
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[7] Katusi Fukuyama and Yutaka Komatsu.
A law of large numbers for arithmetic functions.
Proc. Amer. Math. Soc.
137
(2009)
349-352.
MR 2439459.
Abstract, references, and article information
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[8] Yong-Gao Chen and Ying Shi.
Dynamics of the $w$ function and the Green-Tao theorem on arithmetic progressions in the primes.
Proc. Amer. Math. Soc.
136
(2008)
2351-2357.
MR 2390501.
Abstract, references, and article information
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[9] Michal Feckan.
Note on arithmetic convolution equations.
Proc. Amer. Math. Soc.
136
(2008)
453-459.
MR 2358483.
Abstract, references, and article information
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[10] Helge Glöckner, Lutz G. Lucht and Stefan Porubsky.
Solutions to arithmetic convolution equations.
Proc. Amer. Math. Soc.
135
(2007)
1619-1629.
MR 2286069.
Abstract, references, and article information
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[11] István Berkes and Michel Weber.
A law of the iterated logarithm for arithmetic functions.
Proc. Amer. Math. Soc.
135
(2007)
1223-1232.
MR 2262929.
Abstract, references, and article information
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[12] J. Marshall Ash and Stefan Catoiu.
Telescoping, rational-valued series, and zeta functions.
Trans. Amer. Math. Soc.
357
(2005)
3339-3358.
MR 2135751.
Abstract, references, and article information
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[13] Huaien Li and David C. Torney.
A complete system of orthogonal step functions.
Proc. Amer. Math. Soc.
132
(2004)
3491-3502.
MR 2084069.
Abstract, references, and article information
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[14] Kevin G. Hare.
More on the total number of prime factors of an odd perfect number.
Math. Comp.
74
(2005)
1003-1008.
MR 2114661.
Abstract, references, and article information
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[15] T. Goto and S. Shibata.
All numbers whose positive divisors have integral harmonic mean up to $\mathbf{300}$.
Math. Comp.
73
(2004)
475-491.
MR 2034133.
Abstract, references, and article information
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[16] D. E. Iannucci and R. M. Sorli.
On the total number of prime factors of an odd perfect number.
Math. Comp.
72
(2003)
2077-2084.
MR 1986824.
Abstract, references, and article information
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[17] Sophie Huczynska and Stephen D. Cohen.
Primitive free cubics with specified norm and trace.
Trans. Amer. Math. Soc.
355
(2003)
3099-3116.
MR 1974677.
Abstract, references, and article information
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[18] Karsten Blankenagel, Walter Borho and Axel vom Stein.
New amicable four-cycles.
Math. Comp.
72
(2003)
2071-2076.
MR 1986823.
Abstract, references, and article information
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[19] Paul M. Jenkins.
Odd perfect numbers have a prime factor exceeding $10^{7}$.
Math. Comp.
72
(2003)
1549-1554.
MR 1972752.
Abstract, references, and article information
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[20] Mariano Garcia.
The first known type $(7,1)$ amicable pair.
Math. Comp.
72
(2003)
939-940.
MR 1954976.
Abstract, references, and article information
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[21] Patrick J. Costello.
New amicable pairs of type $(2,2)$ and type $(3,2)$.
Math. Comp.
72
(2003)
489-497.
MR 1933833.
Abstract, references, and article information
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[22] Yuguang Fang.
A theorem on the $k$-adic representation of positive integers.
Proc. Amer. Math. Soc.
130
(2002)
1619-1622.
MR 1887007.
Abstract, references, and article information
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[23] Florian Luca and Michal Krizek.
On the solutions of the congruence $n^{2}\equiv 1~(mod~\phi ^{2}(n))$.
Proc. Amer. Math. Soc.
129
(2001)
2191-2196.
MR 1823899.
Abstract, references, and article information
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[24] Stefan Battiato and Walter Borho.
Breeding amicable numbers in abundance. II.
Math. Comp.
70
(2001)
1329-1333.
MR 1826584.
Abstract, references, and article information
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[25] John A. Ewell.
New representations of Ramanujan's tau function.
Proc. Amer. Math. Soc.
128
(2000)
723-726.
MR 1657735.
Abstract, references, and article information
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[26] Douglas E. Iannucci.
The third largest prime divisor of an odd perfect number exceeds one hundred.
Math. Comp.
69
(2000)
867-879.
MR 1651762.
Abstract, references, and article information
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[27] Douglas E. Iannucci.
The second largest prime divisor of an odd perfect number exceeds ten thousand.
Math. Comp.
68
(1999)
1749-1760.
MR 1651761.
Abstract, references, and article information
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[28] Manuel Benito and Juan L. Varona.
Advances in aliquot sequences.
Math. Comp.
68
(1999)
389-393.
MR 1489967.
Abstract, references, and article information
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[29] Peter Hagis Jr. and Graeme L. Cohen.
Every odd perfect number has a prime factor which exceeds $10^6$.
Math. Comp.
67
(1998)
1323-1330.
MR 1484897.
Abstract, references, and article information
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[30] Kevin Ford.
The distribution of totients .
Electron. Res. Announc. Amer. Math. Soc.
4
(1998)
27-34.
MR 1617448.
Abstract, references, and article information
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