All Stories

  1. Corrigenda to the paper “Infinitary superperfect numbers”
  2. Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form
  3. On a theorem of Kanold on odd perfect numbers
  4. On a problem of De Koninck
  5. On finiteness of odd superperfect numbers
  6. An analog of perfect numbers involving the unitary totient function
  7. On Sinha's note on perfect numbers
  8. A new upper bound for odd perfect numbers of a special form
  9. The generalized Ramanujan-Nagell equation x^2+D=2^s p_1^k p_2^l
  10. On the simultaneous equations $\sigma(2^a)=p^{f_1}q^{g_1}$, $\sigma(3^b)=p^{f_2}q^{g_2}$, $\sigma(5^c)=p^{f_3}q^{g_3}$
  11. 2 and 9 are the only biunitary superperfect numbers
  12. Addendum and corrigenda to the paper “Infinitary superperfect numbers”
  13. A note on the paper by Bugeaud and Laurent “Minoration effective de la distance p-adique entre puissances de nombres algébriques”
  14. ON THE DIOPHANTINE EQUATION
  15. Odd perfect numbers of a special form