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Dens
  • Member for 2 years, 8 months
  • Last seen more than 2 years ago
  • France
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I am a french teacher in Maths and Chemical-Physics, 39 years old.

I am interested in MAPLE and the world of Zeta Function.

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7
Evaluate $\int_{0}^{\infty }\!{\frac {\ln \left( x \right) \arctan \left( x \right) }{{{\rm e}^{\pi\,x}}-1}}\,{\rm d}x$
Jan 30, 2022
4
New trigamma identity for $\Psi_1(\frac3{20})+6\,\Psi_1(\frac15)+10\,\Psi_1(\frac25)-\Psi_1(\frac1{20})$
Oct 28, 2021
2
Integral $\int_{0}^{\infty }\!{\frac {t\ln \left( {t}^{2}+1 \right) }{{{\rm e}^ {4\,\pi\,t}}+1}}\,{\rm d}t$
Dec 12, 2021
1
Conjectured closed form for ${\it {Li_2}} \left( 1-{\frac {\sqrt {2}}{2}}-i \left( 1-{\frac {\sqrt { 2}}{2}} \right) \right)$
Nov 11, 2021
1
Evaluate $\int_{0}^{\infty }\!{\frac {t}{{{\rm e}^{3\,\pi\,t}}-1}\ln \left( {t} ^{2}+{\frac{1}{4}} \right) }\,{\rm d}t$
Dec 14, 2021
0
Evaluate $\int_{{\frac {\pi}{8}}}^{{\frac {7\,\pi}{8}}}\!{\frac {\ln \left( 1- \cos \left( t \right) \right) }{\sin \left( t \right) }}\,{\rm d}t$
Nov 8, 2021
0
Solution of $y''+2y'+2y=\exp(-x(1+i))$
Nov 21, 2021
0
Solving the Riccati equation $y' = x + y/x + y^2/x.$
Nov 28, 2021
0
Solutions with x,y positives integer for ${x}^{4}+4\,{x}^{3}+6\,{x}^{2}+4\,x+16={y}^{2}$
Jan 5, 2022
0
About a trigonometric integral
Mar 24, 2022