List questions from fractional-part

Published on 22 Aug 2013 - 18:55

247

Views

Limit at infinity $\lim_{x\rightarrow \infty}\left(x-\lfloor x\rfloor\right) = $

Published on 08 Oct 2013 - 4:05

213

Views

Finding limit points of {$\sqrt n$}

Published on 01 Dec 2013 - 18:23

104

Views

Solving a system of equations with fractional parts and a system with round parts

Published on 11 Dec 2013 - 12:41

273

Views

Prove that $\left\lfloor \lfloor x/2\rfloor/2 \right\rfloor=\lfloor x/4\rfloor$ for all $x$.

Published on 04 Feb 2014 - 18:51

122

Views

On the integral $\int_0^\infty\left\{ x \right\}\operatorname{Ai}(x)\,dx$, related to the Airy function $\operatorname{Ai}(x)$

Published on 24 Feb 2026 - 3:44

195

Views

Sum of fractional parts of squares over a prime

Published on 14 May 2017 - 21:54

381

Views

$\int_{0<x<y<z<w<1} \left\{\frac{x}{y}\right\}\left\{\frac{y}{z}\right\}\left\{\frac{z}{w}\right\}\left\{\frac{w}{x}\right\}$

Published on 24 May 2017 - 14:53

39

Views

On fraction of products

Published on 26 May 2017 - 17:35

139

Views

finding the limit superior of a sequence involving fractional part

Published on 27 May 2017 - 11:28

72

Views

Volterra fractional differential equations

Published on 26 Mar 2026 - 16:57

183

Views

Sum of the fractional series: $\{1\cdot a\}+\{2\cdot a\}+\{3\cdot a\}+\cdots+\{n\cdot a\}$

Published on 07 Jun 2017 - 17:47

81

Views

Fractional calculus and Riemann liouville

Published on 26 Mar 2026 - 18:29

160

Views

Continuity of $\{f(x)\}$

Published on 27 Mar 2026 - 20:58

551

Views

A sum involving fractional part function

Published on 30 Jun 2017 - 13:33

List Question

Find any sequence in fractional part of $e^x$?

Limit at infinity $\lim_{x\rightarrow \infty}\left(x-\lfloor x\rfloor\right) = $

Finding limit points of {$\sqrt n$}

Solving a system of equations with fractional parts and a system with round parts

Prove that $\left\lfloor \lfloor x/2\rfloor/2 \right\rfloor=\lfloor x/4\rfloor$ for all $x$.

On the integral $\int_0^\infty\left\{ x \right\}\operatorname{Ai}(x)\,dx$, related to the Airy function $\operatorname{Ai}(x)$

Sum of fractional parts of squares over a prime

$\int_{0<x<y<z<w<1} \left\{\frac{x}{y}\right\}\left\{\frac{y}{z}\right\}\left\{\frac{z}{w}\right\}\left\{\frac{w}{x}\right\}$

On fraction of products

finding the limit superior of a sequence involving fractional part

Volterra fractional differential equations

Sum of the fractional series: $\{1\cdot a\}+\{2\cdot a\}+\{3\cdot a\}+\cdots+\{n\cdot a\}$

Fractional calculus and Riemann liouville

Continuity of $\{f(x)\}$

A sum involving fractional part function

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