Blogs about: Math Nt

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Calculations with a Gauss-type Sum

mixedmath wrote 3 weeks ago: It’s been a while since I’ve posted – I’m sorry. I’ve been busy, perha … more →

Tags: mathematics, Analytic Number Theory, eisenstein series, fourier coefficients, Gauss Sum, legendre symbol, Math, mathematics 2, Multiplicative

Hurwitz Zeta is a sum of Dirichlet L Functions, and vice-versa1 comment

mixedmath wrote 3 months ago: At least three times now, I have needed to use that Hurwitz Zeta functions are a sum of L-functions … more →

Tags: Expository, mathematics, character, dirichlet, hurwitz zeta, L-function, Math, mathematics 2, Number Theory

An Application of Mobius Inversion to Certain Asymptotics I

mixedmath wrote 6 months ago: In this note, I consider an application of generalized Mobius Inversion to extract information of ar … more →

Tags: Expository, mathematics, asymptotics, David Lowry, dirichlet, Math, mathematics 2, Mobius inversion, Number Theory

The danger of confusing cosets and numbers1 comment

mixedmath wrote 8 months ago: As I mentioned yesterday, I’d like to consider a proposed proof of the Goldbach Conjecture tha … more →

Tags: mathematics, open, Math, open problem, mathematics 2, Goldbach conjecture, Prastaro, Agostino Prastaro, Goldbach

An elementary proof of when 2 is a quadratic residue7 comments

mixedmath wrote 9 months ago: This has been a week of asking and answering questions from emails, as far as I can see. I want to r … more →

Tags: mathematics, Expository, SE, Math, mathematics 2, Number Theory, Math.StackExchange, MSE, Proof

Three number theory bits: One elementary, the 3-Goldbach, and the ABC conjecture2 comments

mixedmath wrote 11 months ago: I’ve come to realize that I’m always tempted to start my posts with “Recently, I … more →

Tags: mathematics, open, polymath, Math, Number Theory, Polymath, Goldbach conjecture, abc conjecture, ternary goldbach

A pigeon for every hole, and then one (sort of)2 comments

mixedmath wrote 1 year ago: There is a certain pattern to learning mathematics that I got used to in primary and secondary schoo … more →

Tags: mathematics, Expository, Math, mathematics 2, Number Theory, Primes, prime number theorem, pigeonhole principle, Dussart

Circle discrepancy for checkerboard measures

ioannis parissis wrote 1 year ago: This week I am giving a talk at the Department of Mathematics and Systems Analysis of Aalto Universi … more →

Tags: math.CA, seminar notes, paper, open problem, discrepancy, Coloring, Co-Author, checkerboard

Points under Parabola

mixedmath wrote 1 year ago: In my last post, I mentioned I would post my article proper on WordPress. Someone then told me about … more →

Tags: mathematics, Expository, polymath, Math, Article, lattice points, Polymath, Quadratic

Finding the Number of Lattice Points Under a Quadratic

mixedmath wrote 1 year ago: I always keep an eye on the Polymath Projects, ever since I became interested in Polymath 4 (link to … more →

Tags: mathematics, polymath, Math, mathematics 2, polymath4, polymath projects, lattice points, Parabola

Fermat Factorization II

mixedmath wrote 1 year ago: This is a direct continuation of my last post on factoring. In this post, we will look into some of … more →

Tags: mathematics, Expository, Math, mathematics 2, Factoring, algorithm, Number Theory, fermat algorithm, fermat's method

Factoring III4 comments

mixedmath wrote 1 year ago: This is a continuation of my last factoring post. I thought that I might have been getting ahead of … more →

Tags: mathematics, Math, mathematics 2, Prime, Factoring, fermat algorithm, fermat's method

Prime rich and prime poor

mixedmath wrote 1 year ago: A short excursion - The well-known Euler’s Polynomial generates 40 primes at the first 40 natu … more →

Tags: mathematics, Math, prime rich, prime poor

Factoring II1 comment

mixedmath wrote 1 year ago: In continuation of my previous post on factoring, I continue to explore these methods. From Pollard … more →

Tags: mathematics, Expository, Math, mathematics 2, Factoring, Primes, pollard rho, smoothness, pollard p-1

Factoring I1 comment

mixedmath wrote 1 year ago: I remember when I first learnt that testing for primality is in P (as noted in the paper Primes is i … more →

Tags: mathematics, Expository, Math, mathematics 2, Factoring, Primes, pollard rho, brent's algorithm

Slow factoring algorithm II

mixedmath wrote 2 years ago: I was considering the algorithm described in the parent post, and realized suddenly that the possibl … more →

Tags: mathematics, Expository, Math.REC

An interesting (slow) factoring algorithm3 comments

mixedmath wrote 2 years ago: After my previous posts (I, II) on perfect partitions of numbers, I continued to play with the relat … more →

Tags: mathematics, Math & co., Math.REC, Math, Prime, Factoring, algorithm, Recreational, Number Theory

Frobenius Numbers – Round Robin Algorithm

dansesacrale wrote 2 years ago: Frobenius numbers are solutions to the coin problem. Let be coin denominations; what is the smallest … more →

Tags: algorithm, Java

Continued Fractions of Square Roots – Steps

dansesacrale wrote 2 years ago: Everyone knows what continued fractions are, right? Continued fractions have interesting properties … more →

Tags: algorithm, Tutorial, Java


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