NYU-Poly MA 6133 Homework I
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
January 24, 2011
Your signature: (1) Carefully prove by induction that any integer
NYU-Poly MA 6133 Homework XI
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Mar 19, 2011
Your signature: (1) Let D be a positive integer, not a square. (a) If
NYU-Poly MA 6133 Homework X
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Apr 10, 2011
Your signature: (1) For each part check whether the Gaussian integer d
NYU-Poly MA 6133 Homework IX
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Apr 5, 2011
Your signature: (1) For each of the following numbers, find a represen
NYU-Poly MA 6133 Homework VIII
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Mar 29, 2011
Your signature: (1) Suppose C P 67 (mod 91). (a) Find a positive in
NYU-Poly MA 6133 Homework VII
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Mar 8, 2011
Your signature: (1) Only using the properties of the Legendre symbol
NYU-Poly MA 6133 Homework VI
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Mar 1, 2011
Your signature: (1) Find the smallest primitive root mod 23 and use it
NYU-Poly MA 6133 Homework V
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Feb 21, 2011
Your signature: (1) We know there are infinitely many primes, but we c
NYU-Poly MA 6133 Homework IV
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Feb 15, 2011
Your signature: (1) Carefully prove that if f is a multiplicative ari
NYU-Poly MA 6133 Homework III
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Feb 8, 2011
Your signature: (1) Determine all integer solutions of the diophantin
NYU-Poly MA 6133 Homework II
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Feb 1, 2011
Your signature: (1) Prove that if m > n then, a2 + 1 divides a2 - 1. S
NYU-Poly MA 6133 Homework XII
Print Name: Signature: ID #: Instructor/Section: Directions: Due in class next week. Problem Possible 1 2 3 4 5 Total 20 20 20 20 20 100 Points
Apr 26, 2011
Your signature: (1) Let d be a an integer, not a perfect square. Let