Found 290 Documents (Results 1–100)

The solutions of arithmetic function equation $$k\varphi(Y) = {\varphi_2}(Y) + S(Y^8)$$.(Chinese. English summary)Zbl 1488.11013

MSC:  11A25 11D41
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MSC:  11B83

Discussion on the positive integer solution of equation $$k\varphi (m) = S(m^t)$$.(Chinese. English summary)Zbl 1488.11012

MSC:  11A25 11D41
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MSC:  11A25

MSC:  11A25

MSC:  11N37

MSC:  11A99
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On positive integer solutions for the equation $$Z(n) = {\varphi_e}({\mathrm{SL}}(n))$$.(Chinese. English summary)Zbl 1463.11015

MSC:  11A25 11B68
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MSC:  11A25
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MSC:  11B83

Polynomial analogue of the Smarandache function.(English)Zbl 1472.11035

MSC:  11A25 11T06 11T55
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MSC:  11A25

MSC:  11A25

MSC:  11B83
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MSC:  11B83
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On the sum of unitary divisors maximum function.(English)Zbl 1425.11008

MSC:  11A25 11A41
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MSC:  11B83
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MSC:  11B83
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The explicit formula for the Smarandache function and solutions of related equations.(English)Zbl 1389.11067

MSC:  11B83 11B68
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MSC:  11B68
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MSC:  11B83
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MSC:  11B83

MSC:  11B83
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Solvability of arithmetic function equation $$S(SL(n)) = \varphi(n)$$.(Chinese. English summary)Zbl 1363.11043

MSC:  11B83 11B68
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MSC:  11A25

MSC:  11A25
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On the 4-th weighted mean value of the Smarandache double factorial dual function.(Chinese. English summary)Zbl 1340.11009

MSC:  11A25 11N37

Mean value of Smarandache ceil function.(Chinese. English summary)Zbl 1340.11010

MSC:  11A25 11N37

MSC:  11A25

MSC:  11N37

Solving Diophantine equations.(English)Zbl 1312.11003

Bruxelles: EuropaNova (ISBN 978-1-59973-307-4/pbk). xv, 236 p. (2014).
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MSC:  11N37

MSC:  11N37

MSC:  11N37

MSC:  11A63

On the mean value problems of the Smarandache ceil function.(Chinese. English summary)Zbl 1299.11007

MSC:  11A25 11N37

MSC:  11A25

MSC:  11A25

Hybrid mean value estimates involving a new additive function.(Chinese. English summary)Zbl 1299.11071

MSC:  11N37 11A25

MSC:  11B83

MSC:  11A25

MSC:  11B83

MSC:  11B83

MSC:  11A25

MSC:  11N37

MSC:  11N37

MSC:  11B83

On the mean value of a new Smarandache function.(Chinese. English summary)Zbl 1265.11008

MSC:  11A25 11N37

MSC:  11B83

MSC:  11A25

MSC:  11B83

MSC:  11B83

MSC:  11B83

On the mean value of the function $$\overline{S}_k(n)$$.(English. Russian original)Zbl 1244.11084

Ukr. Math. J. 63, No. 4, 516-529 (2011); translation from Ukr. Mat. Zh. 63, No. 4, 448-458 (2011).
MSC:  11N37
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MSC:  11A25

MSC:  11N37

MSC:  11A51

An equation involving the arithmetical functions $$S (d)$$ and $$SL(d)$$.(Chinese. English summary)Zbl 1240.11006

MSC:  11A25 11N37

On some equations involving the Smarandache double factorial dual function.(Chinese. English summary)Zbl 1316.11009

MSC:  11A25 11B83

MSC:  11M41

On a hybrid mean value of the F. Smarandache LCM function and the divisor function.(Chinese. English summary)Zbl 1240.11106

MSC:  11N37 11A25

MSC:  11A25

MSC:  11N37

MSC:  11N37

MSC:  11A25

MSC:  11A25

MSC:  11N37

MSC:  11A25

MSC:  11B83

Wandering in the world of Smarandache numbers.(English)Zbl 1223.11001

Ann Arbor, MI: ProQuest Information & Learning (ISBN 978-1-312599-74-7/pbk). 215 p. (2010).
MSC:  11-01 11A25 11B83

MSC:  11B83

A congruence equation involving the Smarandache function.(Chinese. English summary)Zbl 1212.11010

MSC:  11A25 11A07

MSC:  11B83

MSC:  11B83

MSC:  11A25

MSC:  11A07

MSC:  11N37

The mean value of the $$k$$-th Smarandache dual function.(English)Zbl 1226.11101

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 128-132 (2009).
MSC:  11N37 11A25

A new Smarandache multiplicative function and its mean value formula.(English)Zbl 1226.11011

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 123-127 (2009).
MSC:  11A25 11N37

An equation involving the Smarandache power function.(English)Zbl 1226.11009

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 120-122 (2009).
MSC:  11A25

On the quadratic mean value of the Smarandache dual function $$S^{**}(n)$$.(English)Zbl 1196.11133

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 109-115 (2009).
MSC:  11N37 11A25

An equation involving the Smarandache dual function and Smarandache ceil function.(English)Zbl 1226.11012

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 106-108 (2009).
MSC:  11A25

An equation involving the Lucas numbers and Smarandache primitive function.(English)Zbl 1204.11011

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 90-97 (2009).
MSC:  11A25 11B39

On the dual functions $$Z_*(n)$$ and $$S_*(n)$$.(English)Zbl 1226.11010

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 74-77 (2009).
MSC:  11A25

On numerical values of $$Z(n)$$.(English)Zbl 1219.11186

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 34-57 (2009).
MSC:  11Y70 11A25 11-04

An equation involving the Euler function and the Smarandache $$m$$-th power residues function.(English)Zbl 1219.11005

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 31-33 (2009).
MSC:  11A25

On an equation involving the Smarandache function and the Dirichlet divisor function.(English)Zbl 1219.11007

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 27-30 (2009).
MSC:  11A25

$$S$$-perfect and completely $$S$$-perfect numbers.(English)Zbl 1219.11006

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 12-20 (2009).
MSC:  11A25

An equation related to the Smarandache power function.(English)Zbl 1219.11008

Zhang, Wenpeng (ed.), Research on number theory and Smarandache notions. Proceedings of the fifth international conference on number theory and Smarandache notions, Shangluo, China, March 27–30, 2009. Phoenix, AZ: Hexis (ISBN 978-1-59973-088-2/pbk). 1-4 (2009).
MSC:  11A25

A geometric proof to Cantor’s theorem and an irrationality measure for some Cantor’s series.(English)Zbl 1212.11072

MSC:  11J72 11J82
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On the mean values of the $$m$$-th power part and Smarandache ceil function.(Chinese. English summary)Zbl 1199.11117

MSC:  11N37 11A25

MSC:  11A25

MSC:  11A25

MSC:  11N37

On the pseudo-Smarandache-squarefree function and Smarandache function.(English)Zbl 1199.11008

MSC:  11A25 11N37

MSC:  11N37

MSC:  11A25

MSC:  11A25

MSC:  51M04

MSC:  11A25

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