Normat 61:2, 163 (2013) 163

Summary in English

Ove Juul Munch, Tschebyscheff poly-

nomier i den komplekse plan (Danish)

Recalling that the Chebyshev polyno-

mials T

for each interval I a polynomial T

and proves a striking inequality.

Ulf Persson, The Taxicab number

1729 (English)

Using the standard way of showing that

a cubic surface is rational, an explicit

parametrization of the solutions to the

diophantine equation x

of degree five in radicals, before eit-

her Abel or Galois were born, but the

proofs were incomplete. In this article

ideas from his version from 1799 are pre-

sented in which he inspired by Lagrange

uses symmetries and hence group theo-

retic concepts non-trivially before those

were formally identified, with the hope

that those would be accessible to cu-

rious high-school students.

mations of the cube roots of numbers

(N), given their floors and ceilings (i.e.

m, m+1 such that m

).

The formula Heron came up with is

compared with others, and the analo-

gous results for square roots are derived.

Christer Kiselman, Language choice

in scientific writing: The case of mathe-

matis at Uppsala University and a Nor-

century 1852-1953 when the transition

from Latin to Swedish was completed,

and then as activities became les s re-

gional French, German and finally Eng-

lish came more and more into use. In

the article this process is illustrated by

the language choices made in doctoral

theses in mathematics and in a Nordic

journal.

Christer Kiselman, Werner Fenchel,

eventually he had to leave for Sweden,

where he spent the last two years of the

war. The article is based on a private

letter in which he sketched the histori-

cal development of the subject starting

with the Legendre transformation.

Ulf Persson, p-adic integers (English)

This is an introduction to p-adic int-

egers using the problem of long divi-

sion as a motivation. Fractions as peri-