New estimates for some integrals of functions defined over primes
نویسندگان
چکیده
In this paper we give new estimates for integrals involving some arithmetic functions defined over prime numbers. The main focus here is on the counting function $\pi(x)$ and Chebyshev $\vartheta$-function. Some of these depend correctness Riemann hypothesis nontrivial zeros zeta $\zeta(s)$.
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ژورنال
عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici
سال: 2023
ISSN: ['0208-6573', '2080-9433']
DOI: https://doi.org/10.7169/facm/2049