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20012020
most citedNearest neighbor spacing distribution of prime numbers and quantum chaos

30 citations · 90 across the 26 of their papers we have counts for

collaborators

26 papers

math.NT2020

Are the Stieltjes constants irrational? Some computer experiments

Krzysztof D. Maslanka, Marek Wolf

Khnichin's theorem is a surprising and still relatively little known result. It can be used as a specific criterion for determining whether or not any given number is irrational. I…

math.NT2020

Two arguments that the nontrivial zeros of the Riemann zeta function are irrational. II

Marek Wolf

We extend the results of our previous computer experiment performed on the first 2600 nontrivial zeros of the Riemann zeta function calculated with 1000 digits accuracy to th…

math.NT2020

On the first occurrences of gaps between primes in a residue class

Alexei Kourbatov, Marek Wolf

We study the first occurrences of gaps between primes in the arithmetic progression (P): , , , where and are coprime integers, . The g…

math.NT2019★ 2 cited

6+infinity new expressions for the Euler-Mascheroni constant

Marek Wolf

In the first part we present results of four ``experimental'' determinations of the Euler-Mascheroni constant . Next we give new formulas expressing the constant in terms of…

math.NT2019★ 5 cited

Predicting maximal gaps in sets of primes

Alexei Kourbatov, Marek Wolf

Let be coprime integers. Let be an increasing sequence of primes satisfying two conditions: (i) (mod ) and…

math.NT2018

Negative moments of the gaps between consecutive primes

Marek Wolf

We derive heuristically approximate formulas for the negative --moments of the gaps between consecutive primes represented directly by --- the number of…