Need Problem 1.2 Thanks In the following, p and q and all the derivations (e.g p

Question

Need Problem 1.2 Thanks

In the following, p and q and all the derivations (e.g p1, pn, pi...) denote prune numbers. Use the. Guass's Lemma to calculate: Prove Euler's form of the law of quadratic reciprocity, using the Guass's form of the law of quadratic reciprocity. Euler's form of the law of quadratic reciprocity: Suppose p is an odd prime and a. is an integer not divisible by p. If q is a prime with q = plusminus p (mod 4alpha). then Guass's form of the law of quadratic reciprocity: Suppose p and q are two distinct odd primes. We have In each equation below investigate that there, is an integer solution or not. Use the quadratic residues calculus to find all the solutions of the following equations: Letp be an odd prime. How many quadratic nonresidues of p are. not primitive roots of p? Show that if p ami q = 4p+ 1 are. primes and if a is a quadrat ic nonresidue, of q with ord,a 4. then a. is a primitive rxx)t of q. Suppose f is a multiplicative function. Prove, that the function is also multiplicative.

Explanation / Answer

writing

Related Questions

Navigate

• Browse (All)
• Browse N
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.