Friday, March 1, 2013

On the 100th birthday of Paul Erdős we remember his Syracuse period (1946-48). He published 24 papers with SU affiliation, including the influential "On a theorem of Hsu and Robbins", which established what became known as the Hsu-Robbins-Erdős law of large numbers.

List of papers authored or co-authored by Paul Erdős, with Syracuse University affiliation:

  1. On the number of positive sums of independent random variables
  2. Over-convergence on the circle of convergence
  3. Some remarks on polynomials
  4. On arithmetical properties of Lambert series
  5. On some new questions on the distribution of prime numbers
  6. On the density of some sequences of integers
  7. On the difference of consecutive primes
  8. On the roots of a polynomial and its derivative
  9. Some asymptotic formulas in number theory
  10. Some remarks on Diophantine approximations
  11. The set on which an entire function is small
  12. A property of power series with positive coefficients
  13. On a new method in elementary number theory which leads to an elementary proof of the prime number theorem
  14. On a Tauberian theorem connected with the new proof of the prime number theorem
  15. On a theorem of Hsu and Robbins
  16. On some applications of Brun's method
  17. On the coefficients of the cyclotomic polynomial
  18. On the strong law of large numbers
  19. Problems and results on the differences of consecutive primes
  20. Convergence fields of row-finite and row-infinite Toeplitz transformations
  21. On a problem in elementary number theory
  22. Some problems and results on consecutive primes
  23. Some theorems and remarks on interpolation
  24. Geometrical extrema suggested by a lemma of Besicovitch