MATHEMATICAL FICTION:

a list compiled by Alex Kasman (College of Charleston)

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Professor Eubanks in Zetaland (1988)
Richard Stanley
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After decades trying to prove the Riemann Hypothesis, the frustration felt by Professor E. Pluribus Eubanks is so great that it "strained the very fabric of the spacetime continuum". This leaves him standing on a graph of the magnitude of the Riemann zeta function where he can hopefully resolve the famous open question...as long as he can escape from the Guardian of the Critical Strip.

It should be noted that the author, Richard P. Stanley, is a well-known M.I.T. mathematician.

Although providing technical details to accompany a light story like this might ruin the fun (like explaining the punchline of a joke), let me explain a few things for those who may not know. Nineteenth-century mathematician Bernhard Riemann introduced a function ζ(z) defined for every complex number except z=1. Since the definition of the function involves all of the prime numbers, a thorough understanding of the function could reveal something of their mysterious pattern. However, much about this "Riemann zeta function" remains mysterious itself. Most famously, we do not know the location of all of the roots of the function (i.e., all of the input values for which the output values are zero). The Riemann Hypothesis is the famous open conjecture that these all occur either at negative real integers or along the "critical line" Re(z)=1/2. The graph of ζ(z) would be difficult to imagine because the input and output values are both complex numbers. So (in terms of real numbers) the graph would exist in a four-dimensional space. In this story, however, the character stands on the graph of |ζ(z)|, which is a real number and hence the graph would be a surface over the complex plane. The zeroes would occur at the points where the graph's height reaches its minimum value of zero, and the singularity at z=1 becomes an infinitely tall pole that Eubanks climbs.

This story reminds me of the scenes in Miriam Webster's After Math (1997) in which a mathematician visits a dreamlike landscape in order to prove theorems.

Spoiler alert: The next paragraph contains a minor spoiler.


Using this supernatural experience, Eubanks is able to prove the hypothesis and earn himself a Fields medal. The story ends with a joke about why he is glad he chose to work on the Riemann Hypothesis rather than the theory of partitions, the latter being part of Richard Stanley's own field of combinatorics.

Publication details: Stanley, R.P. Professor Eubanks in Zetaland. The Mathematical Intelligencer 10, 21–23 (1988). https://doi.org/10.1007/BF03026637

More information about this work can be found at link.springer.com.
(Note: This is just one work of mathematical fiction from the list. To see the entire list or to see more works of mathematical fiction, return to the Homepage.)

Works Similar to Professor Eubanks in Zetaland
According to my `secret formula', the following works of mathematical fiction are similar to this one:
  1. After Math by Miriam Webster
  2. Incomplete Proofs by John Chu
  3. The Devil and Simon Flagg by Arthur Porges
  4. On Another Plane by Colin Adams
  5. Math Takes a Holiday by Paul Di Filippo
  6. Matrices by Steven Nightingale
  7. The Devil a Mathematician Would Be by A.J. Lohwater
  8. Numberland by George Weinberg
  9. I of Newton by Joe Haldeman
  10. Journey to the Center of Mathematics by Colin Adams
Ratings for Professor Eubanks in Zetaland:
RatingsHave you seen/read this work of mathematical fiction? Then click here to enter your own votes on its mathematical content and literary quality or send me comments to post on this Webpage.
Mathematical Content:
5/5 (1 votes)
.
Literary Quality:
2/5 (1 votes)
..

Categories:
GenreHumorous, Fantasy,
MotifProving Theorems,
TopicAlgebra/Arithmetic/Number Theory, Real Mathematics,
MediumShort Stories,

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Exciting News: The 1,600th entry was recently added to this database of mathematical fiction! Also, for those of you interested in non-fictional math books let me (shamelessly) plug the recent release of the second edition of my soliton theory textbook.

(Maintained by Alex Kasman, College of Charleston)