Linear and Abstract Algebra Forum

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Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
Is the Proof for the Nearest Point in a Cone Valid?
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Can We Conjecture Asymptotic Behavior for Prime Number Series Beyond PNT?
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Moebius Transform Sum: Understanding the mu(x) Function for Prime Numbers
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Please double-check me (easy, important?)
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Is the Lim Sup of the Difference of Primes Equal to 1?
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Pocklington's Criterion: A Closer Look
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Finding small primes (fast determanistic tests)
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Prime Number Gaps - What's the Largest Integer Difference?
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Solution to the general congruence
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How to Solve 32n + 3 = 0 mod p When p is Prime?
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Does ab ≡ 0 (mod m) imply a|m or b|m?
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Any matrix as product of elementary matrices
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Can Trigonometric Series be Evaluated Using Euler-Maclaurin Sum Formula?
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Proving F^\int as an Infinite Vector Space
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Understanding the Hardy-Littlewood Circle Method: An Explanation and Example
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Does the Laplace Transform Have an Orthonormal Basis in Hilbert Space?
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Solving for a: A Constant Value Equation
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Why is the Triangle Inequality |X+Y|<|X|+|Y| True?
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An elementary problem equivalent to the Riemann hypothesis
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Help! How Many Variations of a 4 Digit Number Exist?
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Finding Matrix A from Dynamics x'=Ax
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Proving Theorem by Frobenius: The Number of Subgroups of Order p^k in a Group G
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Determinant of a matrix over the integers mod n
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Associating Abstract Spaces with Real Intervals: A Puzzling Continuity
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Basics of multiplication of matrices
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Need help please with combinding two equations
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What is the explicit formula for h(n)?
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What is an Algebra? Formal Requirements Explained
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Is This Proof of the Prime Number Theorem Too Simple?
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Which Unitary Matrices Keep A - UBU† Positive Definite?
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How Many Elements Can the Set of Squares X Have?
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How Does Clifford Algebra Apply to Quantum Physics?
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How Can the Quotient Group G/Go Act Effectively on X?
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Is 2^n a Divisor of Binomial Coefficient B(2^n, m)?
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Cayley-Hamilton Theorem: A Simple, Natural Argument
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Does Erdos' Unresolved Conjecture Involve n-term Arithmetic Progressions?
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Optimizing Number Isolation: Equal vs. Unequal Bisection Strategies
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Explaining Quotient Topology: Step-by-Step with Examples
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Proving KerD^2=KerD and ImD=ImD^2 with Linear Transformations
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What are the important examples of quivers and representations?
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Finding an operation that makes a group
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Proving the Uniqueness of the Sum of 3 Primes
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Smallest m for a given k: Solving the Equation
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Confirming Conjecture of Mersenne Primes and Square Triangular Numbers
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Infinity geometric series question
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When Does the Equation Ax=B Have Unique, Multiple, or No Solutions?
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What is so special about 3(mod4)?
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Union of Subspaces of V: Proving Containment
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Finding Variables within Matricies Question
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Twin Primes of the form (8n+5,8n+7)
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Binomial coefficient modulo a prime
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What Are the Different Types of Matrices and Solvers in Computational Programs?
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Proving the Diophantine Equation x^3 + y^3 = 3z^3 Has No Integer Solutions
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Does an Automorphism on a C*-Algebra Induce a *-Isomorphism?
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A trick to proof RH using asymptotic Analysis
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Associativity of the Killing form
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Mathematics behind Rubik's Cube?
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Divine Proportion - What is it & How Does it Work?
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Is the Formula for GCD(z, nm) = d_n*d_m Correct?
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Is there such an identity about SO(3)?
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Relate Mersenne Primes To Sq Triangular Nos.
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Genus, differential forms, and algebraic geometry
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Solve Index Arithmetic Problem: ax^4≡2 (mod 13)
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Orthogonal transformation of matrix
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Optimizing Rank p Matrix V for Symmetric Matrices with SVD Using Frobenius Norm
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Solving the Mystery of Number Theory: 1/3+1/3^2+1/3^3... + 1/3^n=1/2(1-1/3^n)
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Does a Trivial Group Action Mean Every Element Maps to Itself?
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Need help for one-to one linear transformation
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Which formula for solving first common point?
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Group of Order 4: Cyclic & C2xC2
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Is there a simple method for solving quartic equations in radicals?
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Group Representations and Young Tableaux
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Another (candidate) test of primality of Mersenne number
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Encryption Q: XOR of Data w/Secret Key & Compression
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Factors of triangular numbers forming arithmetic series
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Linear Algebra Test Prep: Determining Subspaces of Matnxn
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Continuous eigenvalue of n by n matrix
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Any conclusions about the gaps between p and p^2?
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Perfect numbers beside 6 in mod6.
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Finite Modules and Surjective Endomorphisms: An Elementary Exploration
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If you knew Pi(x) for every number
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Proving Non-Simplicity of Algebra with Two Generators
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Undecidability and the Truth of the Continuum Hypothesis
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Why is it called a torsion group?
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Euler product and Goldbach conjecture
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Finding Integer Solutions to Diophantine Equations
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Struggling to understand Lie Algebra: Constructing Weight Diagrams
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Triangular Number Conjecture: Recursive Series
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Algebraic Closure of Laurent Series
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N=a^2+b^2+c^2, a.b.c.N are all integers(>0)
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Adiabatic evolution of eigenvalues
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Finding Formula for Mp & Proving It
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Dual Representation: Why Use g^{-1}?
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Wilson theorem and formulas for pi(x)
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Where Can I Find a Free Ebook of Gilbert Strang's Linear Algebra?
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Primes as roots of same function
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Help Needed: Abstract Algebra Textbooks & Dual/Quotient Vector Spaces
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Is There an Easier Proof for Proving Irreducibility of Polynomials?
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How Can We Define a Function for Twin Primes Using Prime Counting Functions?
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What Are the Implications of the Riemann Hypothesis for Prime Numbers?
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