• Erdos’ divisor bound

    Updated: 2011-07-24 04:39:19
    One of the basic problems in analytic number theory is to obtain bounds and asymptotics for sums of the form in the limit , where ranges over natural numbers less than , and is some arithmetic function of number-theoretic interest. (It is also often convenient to replace this sharply truncated sum with a smoother sum [...]

  • Solving an Equation with Inverse Functions

    Updated: 2011-07-24 03:22:39
    Solving an Equation with Inverse Functions

  • What Is Finite?

    Updated: 2011-07-21 21:22:33
    What Is Finite? - Finite is the opposite of infinite; something is finite if it's not infinite. But there are many different notions of infinite; there are several for the idea of finite

  • Gleason’s lemma

    Updated: 2011-07-13 02:52:05
    This is another installment of my my series of posts on Hilbert’s fifth problem. One formulation of this problem is answered by the following theorem of Gleason and Montgomery-Zippin: Theorem 1 (Hilbert’s fifth problem) Let be a topological group which is locally Euclidean. Then is isomorphic to a Lie group. Theorem 1 is deep and [...]

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