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Root






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Elementary Functions > Root[polynomialInzk] > Visualizations





Riemann Surfaces

Riemann surfaces of (zeta;zetak-z)j-1

The functions , for over the . The left graphic shows and the right graphic shows . The roots , form the Riemann surface of the bivariate polynomial . The point is the unique branch point of these functions.

Riemann surfaces of (zeta;zetak-zk)j-1

The functions , for over the . The left graphic shows and the right graphic shows . The roots , form the Riemann surface of the bivariate polynomial . It is split into independent sheets.

Riemann surfaces of (zeta;zetak-zk+1)j-1

The functions , for over the . The left graphic shows and the right graphic shows . The roots , form the Riemann surface of the bivariate polynomial . The branch points are the roots of unity.

Riemann surfaces of (zeta;zetak-zeta-z)j-1

The functions , for over the . The left graphic shows and the right graphic shows . The roots , form the Riemann surface of the bivariate trinomial polynomial .

Riemann surfaces of (zeta;zetak-Summ=0kzm)j-1

The functions , for over the . The left graphic shows and the right graphic shows . The roots , form the Riemann surface of the bivariate polynomial .

Riemann surfaces of (zeta;Summ=0kzetam-Summ=0kzm)j-1

The functions , for over the . The left graphic shows and the right graphic shows . The roots , form the Riemann surface of the bivariate polynomial .

Riemann surfaces of (zeta;Summ=0kzetam-1/Summ=0kzm)j-1

The functions , for over the . The left graphic shows and the right graphic shows . The roots , form the Riemann surface of the bivariate polynomial .

Riemann surfaces of (zeta;Summ=0kzetam Summ=0kzm)j-1

The functions , for over the . The left graphic shows and the right graphic shows . The roots , form the Riemann surface of the bivariate polynomial .

Riemann surfaces of various roots

The functions , for various over the . The left graphic shows and the right graphic shows . The roots , form the Riemann surface of the bivariate polynomial .





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