LOCAL ALGEBRA IN ALGEBRAIC GEOMETRY Contents
LOCAL ALGEBRA IN ALGEBRAIC GEOMETRY Contents

elementary number theory - School of Mathematical Sciences
elementary number theory - School of Mathematical Sciences

REMARKS ON PRIMITIVE IDEMPOTENTS IN COMPACT
REMARKS ON PRIMITIVE IDEMPOTENTS IN COMPACT

Commutative Algebra Notes Introduction to Commutative Algebra
Commutative Algebra Notes Introduction to Commutative Algebra

EASY DECISION-DIFFIE-HELLMAN GROUPS 1. Introduction It is
EASY DECISION-DIFFIE-HELLMAN GROUPS 1. Introduction It is

Simple Proof of the Prime Number Theorem
Simple Proof of the Prime Number Theorem

... is non-negative, as noted. Thus, as s → 1 along the real axis from the right, the real part of the latter expression is non-positive (due to the leading minus sign). In particular, this limit cannot be a positive integer. Thus, D(s) does not have a genuine zero at s = 1. As noted, this implies that ...
Rational Functions
Rational Functions

Families of fast elliptic curves from Q-curves
Families of fast elliptic curves from Q-curves

Grade 6 Natural and Whole Numbers
Grade 6 Natural and Whole Numbers

THE MOVING CURVE IDEAL AND THE REES
THE MOVING CURVE IDEAL AND THE REES

... This is our original parametrization of F = 0! Furthermore, Gs,t is one of the moving conics given in Example 2.4. So this adjoint linear system is one of the defining equations of the Rees algebra! The general definition of adjoint curve is as follows. Definition A curve D, possibly reducible, of d ...
(pdf)
(pdf)

Lubin-Tate Formal Groups and Local Class Field
Lubin-Tate Formal Groups and Local Class Field

Pythagorean Triples - Brown math department
Pythagorean Triples - Brown math department

Divided powers
Divided powers

Algebraic Number Theory Brian Osserman
Algebraic Number Theory Brian Osserman

Number Theory Review for Exam 1 ERRATA On Problem 3 on the
Number Theory Review for Exam 1 ERRATA On Problem 3 on the

PRIME IDEALS AND RADICALS IN RINGS GRADED BY CLIFFORD
PRIME IDEALS AND RADICALS IN RINGS GRADED BY CLIFFORD

... PRIME IDEALS AND RADICALS IN RINGS GRADED BY CLIFFORD SEMIGROUPS ...
161 ON THE NILPOTENCY OF THE JACOBSON RADICAL OF
161 ON THE NILPOTENCY OF THE JACOBSON RADICAL OF

Numerical Solution of Fuzzy Polynomials by Newton
Numerical Solution of Fuzzy Polynomials by Newton

... Polynomials play a major role in various areas such as pure and applied mathematics, engineering and social sciences. In this paper we propose to find fuzzy roots of a fuzzy polynomial like A1 x  A2 x 2    An x n  A0 where x i , A j  E 1 for (if exists). The set of all the fuzzy numbers is den ...
Week 1 Lecture Notes
Week 1 Lecture Notes

Seiberg-Witten Theory and Z/2^ p actions on spin 4
Seiberg-Witten Theory and Z/2^ p actions on spin 4

A , b
A , b

Polynomial Bridgeland stability conditions and the large volume limit
Polynomial Bridgeland stability conditions and the large volume limit

1 The affine superscheme
1 The affine superscheme

quadratic discriminant
quadratic discriminant

Eisenstein's criterion

In mathematics, Eisenstein's criterion gives a sufficient condition for a polynomial with integer coefficients to be irreducible over the rational numbers—that is, for it to be unfactorable into the product of non-constant polynomials with rational coefficients.This criterion is not applicable to all polynomials with integer coefficients that are irreducible over the rational numbers, but it does allow in certain important cases to prove irreducibility with very little effort. It may apply either directly or after transformation of the original polynomial.This criterion is named after Gotthold Eisenstein. In the early 20th century, it was also known as the Schönemann–Eisenstein theorem because Theodor Schönemann was the first to publish it.