Arnie Dris

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bio website arnienumbers.blogspot.com location Makati City, Philippines age 34 member for 4 years, 7 months seen 10 hours ago profile views 2,748

You can ask me anything, but I can't promise that I will be able to answer everything.

Research interests: Odd perfect numbers, almost perfect numbers, Descartes numbers

26 Questions

 15 On J. T. Condict's Senior Thesis on Odd Perfect Numbers 6 Is there an odd integer $x < 105$ for which it is known that $x \nmid N$, if $N$ is an odd perfect number? 4 On Sorli's Conjecture Re: OPNs (Circa 2003) 3 Re: Mordell's Equation $y^2 = x^3 + k$ and Perfect Numbers 2 Improving the bound $q < n\sqrt{3}$ for an odd perfect number $N = {q^k}{n^2}$ given in Eulerian form

274 Reputation

 +8 If $q^k n^2$ is an odd perfect number with Euler prime $q$, are the following statements known to hold in general? +5 Improving the bound $q < n\sqrt{3}$ for an odd perfect number $N = {q^k}{n^2}$ given in Eulerian form -2 If $N = q^k n^2$ is an odd perfect number with Euler prime $q$, can $\sigma(n^2)$ be divisible by $(q+1)/2$? -2 Collecting sufficient conditions for Sorli's conjecture on odd perfect numbers

 4 “Modern” proof for the Baker-Campbell-Hausdorff formula 3 Cyclotomic Polynomials in Combinatorics 2 Computer Science for Mathematicians 2 Algebraic Attacks on the Odd Perfect Number Problem 1 Existence of Solutions to an Equation Involving the Sum-of-Divisors Function [Reference Request]

27 Tags

 5 reference-request × 14 2 modular-forms 4 lie-groups 0 nt.number-theory × 38 4 lie-algebras 0 divisors-multiples × 5 4 dg.differential-geometry 0 arithmetic-functions × 3 3 co.combinatorics 0 books × 2

2 Accounts

 Mathematics 1,390 rep 716 MathOverflow 274 rep 319