Maillet's determinant
id:
maillet-s-determinant-275-13818649
title:
Maillet's determinant
text:
In mathematics, Maillet's determinant Dp is the determinant of the matrix introduced by Maillet (1913) whose entries are R(s/r) for s,r = 1, 2, ..., (p – 1)/2 ∈ Z/pZ for an odd prime p, where and R(a) is the least positive residue of a mod p (Muir 1930, pages 340–342). Malo (1914) calculated the determinant Dp for p = 3, 5, 7, 11, 13 and found that in these cases it is given by (–p)(p – 3)/2, and conjectured that it is given by this formula in general. Carlitz & Olson (1955) showed that this con
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https://en.wikipedia.org/wiki/Maillet%27s_determinant
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2023-10-21T16:41:52Z
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