## Found 131 Documents (Results 1–100)

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### Perfect powers of five with few ternary digits.(Chinese. English summary)Zbl 1513.11102

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### The positive integer solutions to multivariate Euler function equation $$\varphi(x_1x_2 \cdots x_n) = k_1\varphi(x_1) + k_2\varphi(x_2) + \cdots + k_n\varphi(x_n) \pm l$$.(Chinese. English summary)Zbl 1488.11014

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

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

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### A variety of Euler’s sum of powers conjecture.(English)Zbl 07442476

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### On the Diophantine equation $$X^2 - (a^2 + 1)Y^4 = k^2 - 1 - 2ka$$.(Chinese. English summary)Zbl 1488.11081

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### On products of consecutive arithmetic progressions. III.(English)Zbl 1480.11035

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### The positive integer solutions of elliptic curves $${y^2} = qx ({x^2} - 256)$$.(Chinese. English summary)Zbl 1474.11087

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### Discussion of solutions of an equation on the number-theoretic function $$\varphi(m)$$.(Chinese. English summary)Zbl 1463.11107

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### The solvability of the equation $${\varphi_e} (n) = 2^{t\omega (n)}$$.(Chinese. English summary)Zbl 1463.11006

MSC:  11A25 11B68 11Y70
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### On the positive integer solution of a ternary variable coefficient Euler function equation.(Chinese. English summary)Zbl 1463.11013

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### A note on the Goormaghtigh equation.(English)Zbl 1438.11089

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### A mixed integer programming approach to the tensor complementarity problem.(English)Zbl 1425.90072

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### Several equations related to the Euler function $$\varphi \left ( n \right)$$.(Chinese. English summary)Zbl 1399.11058

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### On the Diophantine system $$f(z)= f(x) f(y)= f(u) f(v)$$.(English)Zbl 1387.11024

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### The number of solutions of the generalized Ramanujan-Nagell equation $$x^2+D^m=4p^n$$.(Chinese. English summary)Zbl 1374.11059

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### On the positive integer solutions of a class of generalized Ramanujan-Nagell equation.(Chinese. English summary)Zbl 1374.11046

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### Three kinds of equations involving Euler function.(Chinese. English summary)Zbl 1363.11033

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### Positive integer solutions of Mordell’s equation $$y^3 = x^2 + 2p^4$$.(Chinese. English summary)Zbl 1363.11052

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### On the solutions of the exponential Diophantine equation $$a^x+b^y=(m^2+1)^z$$.(English)Zbl 1274.11086

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### A note of the solutions of Lebesgue-Nagell equation $$x^2+D=y^p$$.(Chinese. English summary)Zbl 1240.11065

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### The positive integer solution of Diophantine equations $$(8a^3-3a)^x+(3a^2-1)^y=(4a^2-1)^z$$.(Chinese. English summary)Zbl 1240.11058

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

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### 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).
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### 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).
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