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user2554
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24 votes
0 answers
2k views

How did Gauss find the units of the cubic field $\mathbb Q[n^{1/3}]$?

14 votes
1 answer
2k views

How to interpret Gauss's late fragments on conformal mapping of the interior of an ellipse (to the unit disk) in modern mathematical terms?

6 votes
1 answer
1k views

How did Gauss characterize the metrical relations in the uniform (4 4 4) tiling of the hyperbolic unit disk?

20 votes
2 answers
1k views

Several questions about Gauss's mathematical conception of braids

5 votes
2 answers
1k views

How to derive from Gauss's results on the volume of hyperbolic orthoscheme tetrahedron the formula of Bolyai?

17 votes
1 answer
1k views

Question about the theory behind an important footnote to entry 109 in Gauss's diary

12 votes
2 answers
1k views

Question about a lesser-known "class number formula" of Gauss

11 votes
1 answer
471 views

Explanation of several unpublished remarks of Gauss on representations of a given number as sums of two, three and four squares

4 votes
1 answer
460 views

Question about the correspondence between unitary Möbius transformations and quaternions

5 votes
0 answers
399 views

Meaning of a result of Gauss on "Mensura" of cyclotomic numbers

5 votes
1 answer
388 views

Motivating unpublished statements of Gauss about congruences and quaternions

3 votes
0 answers
332 views

How to prove Gauss's identities on the action of the theta operator $f' = x\frac{df}{dx}$ on Jacobi theta functions?

4 votes
1 answer
297 views

Interpretation of a short note of Gauss on the resolution of a special system of inhomogeneous linear equations by roots of unity

5 votes
0 answers
239 views

Questions on Gauss's geometric interpretation of spherical functions

3 votes
1 answer
221 views

How to construct a group of Möbius transformations corresponding to a given fundamental triangle?

1 vote
1 answer
168 views

Reference request for some fragments of Gauss with dubious origin

2 votes
1 answer
152 views

Explanation of two interrelated identities of Gauss about cubic and biquadratic periods

2 votes
0 answers
124 views

Explanation of an unexplored note of Gauss on hyperbolic volume