| Title |
Asymptotic distribution of beurling integers |
| Translation of Title |
Beurling’o natūraliųjų skaičių asimptotinis pasiskirstymas. |
| Authors |
Kaziulytė, Laima |
| Full Text |
|
| Pages |
23 |
| Keywords [eng] |
generalised primes, Beurling integers, asymptotic distribution, Beurling zeta function, generalised prime counting function. |
| Abstract [eng] |
We study generalised prime (g-prime) systems $\calP$ and g-integer systems $\mathcal{N}$ obtained from them. The asymptotic distribution of g-integers is given with the assumption that g-prime counting function $\pi_\calP(x)$ behaves as \begin{align*} \pi_\calP(x)=\frac{bx}{\log x}+\bO(x^\alpha)\qquad(x\to +\infty) \end{align*} for some $b>0, \alpha\in(0,1)$. |
| Dissertation Institution |
Vilniaus universitetas. |
| Type |
Master thesis |
| Language |
English |
| Publication date |
2016 |
