PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
References to '$\tau$ function'
1. $2^{\omega(n)} \le \tau(n) \le 2^{\Omega(n)}$ by Wkbj79
2. $\displaystyle x\log^2x=O\left(\sum_{n \le x} 2^{\Omega(n)} \right)$ by Wkbj79
3. $\displaystyle \sum_{n \le x} (\tau(n))^a=O_a(x(\log x)^{2^a-1})$ for $a \ge 0$ by Wkbj79
4. composition of multiplicative functions by Wkbj79
5. cyclic ring by Wkbj79
6. divisor function is multiplicative, the by yark
7. doubly even number by 1and2and4
8. examples of cyclotomic polynomials by alozano
9. factors of $n$ and $x^n-1$ by pahio
10. highly abundant number by CompositeFan
11. if $\mu(n) = (-1)^{\omega(n)}$ then $\tau(n) = 2^{\omega(n)}$ by 1and2and4
12. multiplicative function by Wkbj79
13. orderly number by PrimeFan
14. positive multiple of a semiperfect number is also semiperfect by PrimeFan
15. power of two by 1and2and4
16. practical number by CompositeFan
17. prime factors of $x^n-1$ by pahio
18. product of divisors function by pahio
19. refactorable number by CompositeFan
20. semiperfect number by CompositeFan
21. singly even number by CompositeFan
22. Smarandache function by dankomed
23. sphenic number by CompositeFan
24. temporary index 3 of number theory topics by PrimeFan
25. values of $n$ for which $\varphi(n)=\tau(n)$ by Wkbj79
26. weird number by CompositeFan