Theory of numbers
Not what you're looking for?
Use Quadratic Congruences to evaluate the following fractions. See attached file for full problem description.
Purchase this Solution
Solution Summary
The solution involves the result concerning quadratic congruences.
Solution Preview
Please see the attached file.
Euler's Criterion
Let p be an odd prime and let a be an integer not divisible by p. If a is a square modulo p, then . If a is not a square modulo p, then
Quadratic Residues:
Let p be a prime, and let a be an integer not divisible by p. If a is a square modulo p, then a is said to be a quadratic residue modulo p. Otherwise, we say that a is a quadratic nonresidue modulo p.
Legendre symbol:
Let p be a prime, and let a be an integer. The Legendre symbol is defined by
Theorem ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts