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
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...
AbstractClosed expressions are obtained for sums of products of Kronecker's double series of the for...
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 leads to Bernoulli numbers from an integral of an infinite series and is called a beautif...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
Throughout 2007, a great deal of attention was paid to the life and work of Leonhard Euler (1707–178...
We deepen here the insight on formal power series. We temporarily abandon formality and consider the...
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...
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...
AbstractClosed expressions are obtained for sums of products of Kronecker's double series of the for...
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 leads to Bernoulli numbers from an integral of an infinite series and is called a beautif...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
Throughout 2007, a great deal of attention was paid to the life and work of Leonhard Euler (1707–178...
We deepen here the insight on formal power series. We temporarily abandon formality and consider the...
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...
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...
AbstractClosed expressions are obtained for sums of products of Kronecker's double series of the for...