Find a formula for the number of kth roots

Reference no: EM13193236

Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on p and k, not on b.)

Reference no: EM13193236

Questions Cloud

Identical standby generator units for emergency power : A plant has two identical standby generator units for emergency power use. In the area of the generators, the normal noise level registers 81 dBA on the sound-level meter with the generators turned off. When one generator switches on, the noise level..

State what is simple experiment can be performed to confirm : what is simple experiment can be performed to confirm that baking soda changes

What costs are relevant to decision making : What costs are relevant to decision making and how do managers overcome the natural tendency to consider historical and sunk costs when evaluating business alternatives?

Encountering death and dying 8th edition : Echo a them that is surprisingly familiar: Death comes from outside: it cuts short an existence that would otherwise be immortal. seek to manage death in ways appropriate for their cultural and historical circumstances.

Find a formula for the number of kth roots : Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..

State amount of energy equivalent to that produced : Calculate the volume of hydrogen gas at 25 celcius and 1.00atm required to produce an amount of energy equivalent to that produced by the combustion of a gallon of octane (C8H18).

What sampling method was used : A survey was mailed to a total of 400 students; 100 were randomly selected from each of the freshman, sophomore, junior and senior classes last semester. What sampling method was used?

Successful landscape designer-visualize a backyard plan : Jacquie describes herself as a mother of three, a conscientious student, and a successful businesswoman. Her descriptions are indicative of her, Ken is a successful landscape designer who can visualize a backyard plan and then create it. Ken shows a..

Of the numbers mentioned which are parameters : According to the American Cancer Society, one in twelve women will develop breast cancer at some time in her life. Of the numbers mentioned, which are parameters?

User Account

All Pages