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pro vyhledávání: '"Michaela Cully-Hugill"'
Publikováno v:
International Journal of Number Theory. :1-24
We provide an explicit [Formula: see text] error term for the Riemann–von Mangoldt formula by making results of Wolke [On the explicit formula of Riemann–von Mangoldt, II, J. London Math. Soc. 2(3) (1983) 406–416] and Ramaré [Modified truncate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31c9a4b98a691d3c90202bafe4ea7582
https://doi.org/10.1142/s1793042123500598
https://doi.org/10.1142/s1793042123500598
Autor:
Michaela Cully-Hugill, Adrian W. Dudek
Publikováno v:
Research in Number Theory. 8
We furnish an explicit bound for the prime number theorem in short intervals on the assumption of the Riemann hypothesis.
10 pages, comments welcome
10 pages, comments welcome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::371fef29c6b218db23ce2c799b80f9fb
https://doi.org/10.1007/s40993-022-00358-1
https://doi.org/10.1007/s40993-022-00358-1
Autor:
Michaela Cully-Hugill
This paper updates the explicit interval estimate for primes between consecutive powers. It is shown that there is least one prime between $n^{155}$ and $(n+1)^{155}$ for all $n\geq 1$. This result is in part obtained with a new explicit version of G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61fdca883ff08d77f277ec465de99940
Autor:
Tim Trudgian, Michaela Cully-Hugill
We give explicit bounds on sums of $$d(n)^{2}$$ and $${d}_{4}(n)$$ , where d(n) is the number of divisors of n and $${d}_{4}(n)$$ is the number of ways of writing n as a product of four positive integers. In doing so, we make a slight improvement on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7fb98c6a97ff33072afc072b1f8b9207
http://arxiv.org/abs/1911.07369
http://arxiv.org/abs/1911.07369