On the order of 4-dimensional regular polytope numbers
| Autor: | Dong, Anji, Nguyen, The, Zaharescu, Alexandru |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | In light of Kim's conjecture on regular polytopes of dimension four, which is a generalization of Waring's problem, we establish asymptotic formulas for representing any sufficiently large integer as a sum of numbers in the form of those regular 4-polytopes. Moreover, we are able to obtain a more general result of the asymptotics for any degree-four polynomial $f$ satisfying $f(0)=0$ and $f(1)=1$. Comment: 25 pages |
| Databáze: | arXiv |
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