On the error term in the explicit formula of Riemann–von Mangoldt
Autor: | Michaela Cully-Hugill, Daniel R. Johnston |
---|---|
Rok vydání: | 2023 |
Předmět: | |
Zdroj: | International Journal of Number Theory. :1-24 |
ISSN: | 1793-7310 1793-0421 |
DOI: | 10.1142/s1793042123500598 |
Popis: | 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 truncated Perron formulae, Ann. Math. Blaise Pascal 23(1) (2016) 109–128] explicit. We also include applications to primes between consecutive powers, the error term in the prime number theorem and an inequality of Ramanujan. |
Databáze: | OpenAIRE |
Externí odkaz: |