Zobrazeno 1 - 3
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pro vyhledávání: '"Storzer, Matthias"'
In 1986, Andrews [2,3] studied the function $\sigma(q)$ from Ramanujan's "Lost" Notebook, and made several conjectures on its Fourier coefficients $S(n)$, which count certain partition ranks. In 1988, Andrews-Dyson-Hickerson [5] famously resolved the
Externí odkaz:
http://arxiv.org/abs/2305.16654
We prove that a formal power series associated to an ideally triangulated cusped hyperbolic 3-manifold (together with some further choices) is a topological invariant. This formal power series is conjectured to agree to all orders in perturbation the
Externí odkaz:
http://arxiv.org/abs/2305.14884
For a random partition, one of the most basic questions is: what can one expect about the parts which arise? For example, what is the distribution of the parts of random partitions modulo $N$? Since most partitions contain a $1$, and indeed many $1$s
Externí odkaz:
http://arxiv.org/abs/2305.02928