Let p = 2k +1 be an odd prime, S = {0,1,2,., k}, and Z, = {0, 1, 2, ...,p – 1}. Define g : S → Z, by g(y) = (y² + 1)%p. Let p = 11. Draw arrow diagrams for g and for f :S → Z, given by f(x) = (-x²)%p....

Let p = 2k +1 be an odd prime, S = {0,1,2,., k}, and Z, = {0, 1, 2, ...,p – 1}.<br>Define g : S → Z, by g(y) = (y² + 1)%p.<br>Let p = 11. Draw arrow diagrams for g and for f :S → Z, given by f(x) = (-x²)%p.<br>Use your diagrams to find all ordered pairs (r, y) with r,y E S and r+y² +1 = 0 (mod 11).<br>

Extracted text: Let p = 2k +1 be an odd prime, S = {0,1,2,., k}, and Z, = {0, 1, 2, ...,p – 1}. Define g : S → Z, by g(y) = (y² + 1)%p. Let p = 11. Draw arrow diagrams for g and for f :S → Z, given by f(x) = (-x²)%p. Use your diagrams to find all ordered pairs (r, y) with r,y E S and r+y² +1 = 0 (mod 11).

Jun 04, 2022

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Let p = 2k +1 be an odd prime, S = {0,1,2,., k}, and Z, = {0, 1, 2, ...,p – 1}. Define g : S → Z, by g(y) = (y² + 1)%p. Let p = 11. Draw arrow diagrams for g and for f :S → Z, given by f(x) = (-x²)%p....

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