Romeo Mevstrovi'c

activity

20122019

most citedAn elemetary proof of an estimate for a number of primes less than the product of the first

n

primes

2 citations · 3 across the 5 of their papers we have counts for

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math.NT2019

Closed maximal ideals ideals in some Fréchet algebras of holomorphic functions

Romeo Meštrović

The space $F^{p}$ ( $1 < p < \infty$ ) consists of all holomorphic functions $f$ on the open unit disk $D$ such that $lim_{r \to 1} (1 - r)^{1/ q} lo g^{+} M_{\infty} (r, f) = 0,$ where $M_{\inf…

math.NT2019

Goldbach's like conjectures arising from arithmetic progressions whose first two terms are primes

Romeo Meštrović

For two odd primes $p$ and $q$ such that $p < q$ , let $A (p, q) := (a_{k})_{k = 1}^{\infty}$ be the arithmetic progression whose $k$ th term is given by $a_{k} = (k - 1) (q - p) + p$ (i.e., with $a_{1} = p$ …

math.NT2018

A characterization of maximal ideals in the Fréchet algebras of holomorphic functions $F^{p}$ $(1 < p < \infty$

Romeo Meštrović

The space $F^{p}$ ( $1 < p < \infty$ ) consists of all holomorphic functions $f$ on the open unit disk $D$ for which $lim_{r \to 1} (1 - r)^{1/ q} lo g^{+} M_{\infty} (r, f) = 0,$ where $M_{\inft…

math.NT2018

On the distribution of primes in the alternating sums of concecutive primes

Romeo Meštrović

Quite recently, in [8] the authoor of this paper considered the distribution of primes in the sequence $(S_{n})$ whose $n$ th term is defined as $S_{n} = \sum_{k = 1}^{2 n} p_{k}$ , where $p_{k}$ …

math.NT2018

Curious conjectures on the distribution of primes among the sums of the first $2 n$ primes

Romeo Meštrović

Let $p_{n}$ be $n$ th prime, and let $(S_{n})_{n = 1}^{\infty} := (S_{n})$ be the sequence of the sums of the first $2 n$ consecutive primes, that is, $S_{n} = \sum_{k = 1}^{2 n} p_{k}$ with $n=1,2,\ldots…

math.NT2012★ 2 cited

An elemetary proof of an estimate for a number of primes less than the product of the first $n$ primes

Romeo Meštrović

Let $α$ be a real number such that $1 < α < 2$ and let $x_{0} = x_{0} (α)$ be a {\rm(}unique{\rm)} positive solution of the equation $x^{α - 1} - \frac{π}{e ^{2} 3} x + 1 = 0.$ Then we prove t…

Closed maximal ideals ideals in some Fréchet algebras of holomorphic functions

Goldbach's like conjectures arising from arithmetic progressions whose first two terms are primes

A characterization of maximal ideals in the Fréchet algebras of holomorphic functions Fp (1<p<∞

On the distribution of primes in the alternating sums of concecutive primes

Curious conjectures on the distribution of primes among the sums of the first 2n primes

An elemetary proof of an estimate for a number of primes less than the product of the first n primes

A characterization of maximal ideals in the Fréchet algebras of holomorphic functions $F^{p}$ $(1 < p < \infty$

Curious conjectures on the distribution of primes among the sums of the first $2 n$ primes

An elemetary proof of an estimate for a number of primes less than the product of the first $n$ primes