ramanujan and tetration

[galathaea]

but elsewhere he shows fascination with the exponential in particular

this is natural since the exponential is fundamental here

in chapter 3 of his notebooks

Hi galathaea,

Which of the notebooks chapter 3? Chapter 4? Berndt has released 5 Ramanujan notebooks. Or is it in Quaterly reports?

Code:

berndt keeps the chapters progressive across the books
so the second book
  for instance
starts with chapter 10
and by the very end of book 5
  he's on chapter 39

chapters 3 and 4 are in book 1

also
  the quarterly reports
  are copied at the end of book 1

the biggest part of concentrated development here
  is in book 1 in the chapters on combinatorial sums
  (chapter 4 is half dedicated to iterated exponents)
and although the relevant forms reappear in a few other places
most of the main work is found in book 1

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galathaea: prankster, fablist, magician, liar