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pro vyhledávání: '"Baczkowski, Daniel M."'
Autor:
Baczkowski, Daniel M., Novaković, Saša
F. Luca proved for any fixed rational number $\alpha>0$ that the Diophantine equations of the form $\alpha\,m!=f(n!)$, where $f$ is either the Euler function or the divisor sum function or the function counting the number of divisors, have only finit
Externí odkaz:
http://arxiv.org/abs/2407.03822
We describe how previously known methods for determining the number of decimation classes of density $\delta$ binary vectors can be extended to nonnegative integer vectors, where the vectors are indexed by a finite abelian group $G$ of size $\ell$ an
Externí odkaz:
http://arxiv.org/abs/2310.00403
Autor:
Baczkowski, Daniel M.
We examine and classify the solutions to certain Diophantine equations involving factorials and some well known arithmetic functions. F. Luca has showed that there are finitely many solutions to the equation: f(n!)=a m! where f is one of the arithmet
Externí odkaz:
http://rave.ohiolink.edu/etdc/view?acc_num=miami1088086258