Find a formula for the number of kth roots

Reference no: EM13193269

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: EM13193269

Questions Cloud

Satisfied workers are productive workers : Discussion question this week comes primarily from Chapter 3 in the textbook. Assume you are new to your job and on the first day you have a conversation with your boss, who says, "Satisfied workers are productive workers." Do you agree with her stat..

Hybrid orbital accommodating one lone pair of electrons : Describe the bonding in N3- (Azide ion) in terms of an molecular orbital picture in which each terminal N atom is sp hybridized with one hybrid orbital accommodating one lone pair of electrons

Create and interpret a 90% confidence interval : Does this sample indicate that songs classified as dance music have lower beats per minute than the songs ranked on a Top 200 list?

Examine systemic influences on personality development : Examine systemic influences on personality development by exploring the following factors:

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 ..

How does an employee have upper hand in today''s time : How does an employee have the "upper hand" in today's time? When you think about it jobs are scarce right now so if a person doesn't do what the organization wants it will find someone else. What can be done to grow this relationship between employee..

Difference between cccs expected roe : What is the difference between CCC's expected ROE if it finances with 40% debt versus its expected ROE if it finances entirely with common stock? Round your answer to two decimal places.

Hire by committee - make sure recruits talk to their future : What do you think should be added to the list? Is there anything on the list that you disagree with? Please support your opinion with evidence from our readings and also from your own work and life experience. Please also remember to respond to your ..

State proteins rich in disulfide bonds often require longer : Proteins rich in disulfide bonds often require longer incubation times at higher temperatures before they denature. Why?

User Account

All Pages