Add to ORKGEuler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor series, builds a Bernoulli polynomial and uses it to evaluate 0n + 1n + 2n + 3n + ... + (x-1)n, (x = 1, 2, 3, ...) and gets the relationship (B+1)n+1 – Bn+1 = 0 for Bernoulli numbers. He gets an infinite series approximation for the nth partial sum of the harmonic series
In response to a letter from Goldbach, Euler considered sums of the form [unable to replicate formul...
We deepen here the insight on formal power series. We temporarily abandon formality and consider the...
We present results for some infinite series appearing in Feynman diagram calculations, many of which...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
This paper leads to Bernoulli numbers from an integral of an infinite series and is called a beautif...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Throughout 2007, a great deal of attention was paid to the life and work of Leonhard Euler (1707–178...
In response to a letter from Goldbach, Euler considered sums of the form [unable to replicate formul...
We deepen here the insight on formal power series. We temporarily abandon formality and consider the...
We present results for some infinite series appearing in Feynman diagram calculations, many of which...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor se...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
This paper leads to Bernoulli numbers from an integral of an infinite series and is called a beautif...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Throughout 2007, a great deal of attention was paid to the life and work of Leonhard Euler (1707–178...
In response to a letter from Goldbach, Euler considered sums of the form [unable to replicate formul...
We deepen here the insight on formal power series. We temporarily abandon formality and consider the...
We present results for some infinite series appearing in Feynman diagram calculations, many of which...