From: American Mathematical Monthly
Date: Wed, Feb 8, 2012 at 12:17 PM
Subject: Your Submission
To: Chetan Tonde
Ref.: Ms. No. MONTHLY-D-12-00035
Combinatorial Constructions for Sifting Primes and Enumerating the Rationals
The American Mathematical Monthly
Dear Professor Tonde,
I am writing about your paper "Combinatorial Constructions for Sifting
Primes and Enumerating the Rationals," which you submitted to the The
American Mathematical Monthly. I have reviewed your paper and
discussed it with members of the Editorial Board.
After careful consideration of your paper and the mix of topics we
hope to bring to the Monthly's readers, the board has decided to
reject your manuscript. Here is a summary of the remarks I received
on your paper from the Board.
"We don't see the point of this paper. The first part of the paper is
a section on "combinatorics", which is a lot of
notation for describing integer-labeled trees. This concludes with a
theorem that says that a listing that seems to be of all
such objects actually is a listing of all such objects. We found this
not interesting at all, but the set-up suggests that this will be used
for something
of more interest in the second part of the paper.
But no! The main idea is that every integer can be represented in a
certain meta-prime decomposition. This involves representing
the integer in prime decomposition, and then representing in turn all
the resulting exponents in prime decomposition, and then
continuing recursively to re-express all composite exponents into
their primes. In the end, the meta-prime representation has only
prime numbers in it. For example 256 = 2^8 = 2^(2^3). This could
easily be described in a short paragraph, but then we're not
sure why or if we would still need the first 5 pages of this 7-page paper.
We don't follow page 7, but we've read enough. Monthly articles should
make hard things easier to understand. This paper seems to
make easy things hard to understand. We recommend rejection."
The decision to reject a manuscript is always difficult. The Monthly
receives a large number of submissions each year, and we are able to
publish only a small fraction of them. We regret that page
limitations force us to turn away many fine papers.
Thank you for submitting your paper to the Monthly. We wish you luck
in finding an appropriate journal for the publication of your work.
Yours sincerely,
Scott Chapman
Editor
The American Mathematical Monthly