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Results tagged with nt.number-theory
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user 126628
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
9
votes
1
answer
203
views
Which unimodular lattices $L\subset \mathbb R^2$ minimize $f_t(L):=\sum_{ v\in L} e^{-t \|v\...
$\DeclareMathOperator\SL{SL}\DeclareMathOperator\SO{SO}$Consider the lattices in $\SL(2,\mathbb R)(\mathbb Z^2)$ up to rotation. The space of such lattices can be identified with the modular surface $ …
- 241
5
votes
Accepted
Which unimodular lattices $L\subset \mathbb R^2$ minimize $f_t(L):=\sum_{ v\in L} e^{-t \|v\...
The answer is that $f_t(A)$ is uniquely minimized at the hexagonal lattice (up to rotation).
The comment by Marco Golla led me to the following paper by Laurent Bétermin which proves the result in a m …
- 241