Blogs about: Mathnt

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A remark on primality testing and the binary expansion

I’ve just uploaded to the arXiv the short note “A remark on primality testing and the binary expansion“, submitted to the Journal of the Australian Mathematical Society. In this not… more »

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Diophantine property of generic elements of non-commutative groups

matheuscmss wrote 2 weeks ago: Hi! I’m writing just to say that I’ve uploaded a post in the Portuguese version of this … more »

Tags: Expository, mathematics, Open problems, Diophantine properties, Kaloshin and Rodnianski theorem, non-commutative groups, Ruziewicz problem

A remark on primality testing and the binary expansion — 19 comments

Terence Tao wrote 4 months ago: I’ve just uploaded to the arXiv the short note “A remark on primality testing and the bi … more »

Tags: paper, binary expansion, Mersenne numbers, primality testing, Primes, Selberg sieve

Odd Sums of Consecutive Odds — 7 comments

Peter Luthy wrote 4 months ago: Oscar Wilde’s character Algernon said in The Importance of Being Earnest, “One must be s … more »

Tags: Basic Grad Student, Guests, High School, Undergraduate

AMS lecture: Structure and randomness in the prime numbers — 7 comments

Terence Tao wrote 6 months ago: This week I am in San Diego for the annual joint mathematics meeting of the American Mathematical So … more »

Tags: talk, american mathematical society, arithmetic progressions, Endre Szemeredi, Green-Tao theorem, Prime Numbers, Steele prize

PCM article: Distributions — 8 comments

Terence Tao wrote 6 months ago: I’m continuing my series of articles for the Princeton Companion to Mathematics through the winter … more »

Tags: Companion, math.AP, math.FA, Carl Pomerance, computational number theory, Distributions, Factoring

Milliman Lecture III: Sum-product estimates, expanders, and exponential sums — 15 comments

Terence Tao wrote 7 months ago: This is my final Milliman lecture, in which I talk about the sum-product phenomenon in arithmetic co … more »

Tags: math.CO, math.RT, talk, arithmetic combinatorics, Milliman lecture, randomness extractors, sieve theory, sum-product estimates

Milliman Lecture I: Additive combinatorics and the primes — 8 comments

Terence Tao wrote 7 months ago: This week I am visiting the University of Washington in Seattle, giving the Milliman Lecture Series … more »

Tags: math.CO, talk, additive combinatorics, Milliman lecture, Prime Numbers, randomness, Structure

Elliptic Curves

Charles wrote 8 months ago: So, on Thursday, I posted some background stuff, which I think I might continue to do in the future. … more »

Tags: Algebraic Geometry

Geometry of a Polynomial — 1 comment

Charles wrote 9 months ago: This week, we’re going to talk about some of the more important ideas in algebraic geometry, a … more »

Tags: Algebraic Geometry

Ratner's theorems — 12 comments

Terence Tao wrote 9 months ago: While working on my recent paper with Ben Green, I was introduced to the beautiful theorems of Marin … more »

Tags: Expository, math.DS, homogeneous spaces, Marina Ratner, Oppenheim conjecture, Orbits, Ratner's theorem, unipotent flows

Atle Selberg — 5 comments

Terence Tao wrote 10 months ago: Atle Selberg, who made immense and fundamental contributions to analytic number theory and related a … more »

Tags: obituary, Atle Selberg, prime number theorem, trace formula, zeta function

(Emmanuel Kowalski) The large sieve inequalities — 5 comments

Terence Tao wrote 11 months ago: [This post is authored by Emmanuel Kowalski.] This post may be seen as complementary to the post … more »

Tags: Expository, guest blog, Emmanuel Kowalski, sieve theory, elliptic curves, property T

Adding, Multiplying and the Mellin Transform — 5 comments

Greg Muller wrote 11 months ago:     Matt’s entertaining posts on divergent series have inspired me to contribute my own tw … more »

Tags: Greg, Undergraduate, Basic Grad Student, math.FA

Dyadic models — 14 comments

Terence Tao wrote 11 months ago: One of the oldest and most fundamental concepts in mathematics is the line. Depending on exactly w … more »

Tags: Expository, math.CA, math.CO, additive combinatorics, algebraic combinatorics, dyadic models, factorisation, Fourier transform, Harmonic Analysis

A visit to the Royal Society — 17 comments

Terence Tao wrote 11 months ago: This week I was in London, attending the New Fellows Seminar at the Royal Society. This was a fair … more »

Tags: Non-technical, Opinion, talk, Travel, Powerpoint, randomness, Royal Society, Structure

Open question: The parity problem in sieve theory — 24 comments

Terence Tao wrote 1 year ago: The parity problem is a notorious problem in sieve theory: this theory was invented in order to coun … more »

Tags: Expository, Question, parity problem, sieve theory

Open question: effective Skolem-Mahler-Lech theorem — 29 comments

Terence Tao wrote 1 year ago: The Skolem-Mahler-Lech theorem in algebraic number theory is a significant generalisation of the obv … more »

Tags: Question, Algebraic Number Theory, effective bounds, recurrence sequences, Skolem-Mahler-Lech theorem

Distinguished Lecture Series III: Shou-wu Zhang, “Triple L-series and effective Mordell conjecture” — 3 comments

Terence Tao wrote 1 year ago: On Thursday Shou-wu Zhang concluded his lecture series by talking about the higher genus case , and … more »

Tags: DLS, abc conjecture, Arakelov theory, Beilinson-Bloch conjecture, Bogolomov-Miyoaka-Yau inequality, BSD conjecture, Faltings theorem, Shou-Wu Zhang

Distinguished Lecture Series II: Shou-wu Zhang, “Gross-Zagier formula and Birch and Swinnerton-Dyer conjecture ” — 4 comments

Terence Tao wrote 1 year ago: On Wednesday, Shou-wu Zhang continued his lecture series. Whereas the first lecture was a general o … more »

Tags: DLS, BSD conjecture, complex multiplication, elliptic curves, Shou-Wu Zhang