number theory

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Welcome to the 'number theory' tag page at Technorati. This page features content from the farthest reaches of the Blogosphere that authors have "tagged" with 'number theory'.

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Latest blogosphere posts tagged “number theory”

  • Roots of integers


    The EndeavourAuthority Authority: 423
    An integer is either a perfect square or its square root is irrational. Said a different way, when you compute the square root of an integer, there are either no figures to the right of the decimal or there an infinite number of figures to right of the decimal and they don’t repeat . There’s no middle ground. ...
    2 days ago
  • Math Teachers at Play #21


    The Math Less TraveledAuthority Authority: 115
    Math Teachers at Play #21 is up at Math Mama Writes… , and it includes this cute puzzle, which Sue apparently made up herself: The Numberland News runs personal ads. 21 was looking for a new friend and put an ad in. Two-digit, semi-prime, triangular, Fibonacci number seeks same. I’m a binary palindrome, what ...
    4 days ago
  • I'


    Sleight of BlogAuthority Authority: 136
    A little problem thats annoying me: When people are kind enough to write comments on this blog, the apostrophe shows up as computer code (I) so for example when they write "Ive", it shows up as "IIe". How can I correct this error?
    1 week ago
  • Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields


    QuomodocumqueAuthority Authority: 119
    Now I’ll say a little bit about the actual problem treated by the new paper with Venkatesh and Westerland .  It’s very satisfying to have an actual theorem of this kind:  for years now we’ve been going around saying “it seems like asymptotic conjectures in analytic number theory should have a geometric ...
    1 week ago
  • The braid group, analytic number theory, and Weil’s three columns


    QuomodocumqueAuthority Authority: 119
    This post is about a new paper of mine with Akshay Venkatesh and Craig Westerland ; but I’m not going to mention that paper in the post. Instead, I want to explain why topological theorems about the stable homology of moduli spaces are relevant to analytic number theory.  If you’ve seen me give a talk about this ...
    2 weeks ago
  • The technical part of Godel’s proof


    Secret Blogging SeminarAuthority Authority: 109
    We’ll start with a puzzle, taken from Hofstader’s Godel, Escher, Bach . In this puzzle, we are going to learn to speak in a restricted language. We will be talking about integers, so our variables will always stand for integers. We have available to us the ordinary arithmetic operations , , , and the ...
    2 weeks ago
  • A Million for Math at the CUNY Graduate Center


    The CUNY News WireAuthority Authority: 141
    The National Science Foundation (NSF) has awarded two grants totaling over a million dollars to Graduate Center mathematicians to further the study of number theory—the largest amount ever to be awarded in pure mathematics at CUNY. The NSF gave a Research Training Grant (RTG) in Number Theory (of approximately ...
    2 weeks ago
  • Economics for Business Lecture 23


    Stephen KinsellaAuthority Authority: 120
    Here are the lecture notes for the last lecture, and below is a recording of the lecture. Remember, email if you have questions, and good luck in the final exam. Thanks very much for attending lectures and giving me your feedback by text, email, twitter, and the old fashioned conversation. It’s been a blast. ...
    3 weeks ago
  • Who Am I?


    The Math Less TraveledAuthority Authority: 115
    An excellent puzzle from JD2718 : There are five true and five false statements about the secret number. Each pair of statements contains one true and one false statement. Find the trues, find the falses, and find the number. 1a. I have 2 digits 1b. I am even 2a. I contain a “7” 2b. I am prime 3a. I ...
    3 weeks ago
  • Local points on quadratic twists of X_0(N)


    QuomodocumqueAuthority Authority: 119
    A new paper on the subject by my Ph.D. student, Ekin Ozman , is up on the arXiv today. The twists in question are isomorphic to X_0(N) over a quadratic field K = Q(sqrt(d)), but not over Q; the twist is via the Atkin-Lehner involution w_N, which is to say that the rational points on such a twist are in bijection ...
    4 weeks ago
  • Mihailescu on the Leopoldt conjecture


    QuomodocumqueAuthority Authority: 119
    You might have heard that Preda Mihailescu claimed a proof of Leopoldt’s conjecture earlier this year.  He just gave a series of lectures on the paper at Cambridge, and Minhyong Kim was there to blog about it .  Mihailescu has provided an “executive summary” of the argument .
    4 weeks ago

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