Archive of posts with tag '김병찬'

• Byungchan Kim (김병찬), The Odd Moments of Ranks and Cranks

  The Odd Moments of Ranks and Cranks

  Byungchan Kim (김병찬)
  School of Liberal Arts, Seoul National University of Science and Technology, Seoul, Korea

  2012/3/28 Wed 4PM-5PM

  By modifying the definition of moments of ranks and cranks, we study the odd moments of ranks and cranks. In particular, we prove the inequality between the first crank moment M₁(n) and the first rank moment N₁(n):</p>

  M₁(n) > N₁(n).

  We also study new counting function ospt(n) which is equal to M₁(n) – N₁(n). We will also discuss higher order moments of ranks and cranks.
  This is a joint work with G. E. Andrews and S. H. Chan.</div>

  Tags:

  • 김병찬