ORCID iD
https://orcid.org/0000-0002-9455-7672
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Austria

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Number Theory,

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Analytic Number Theory

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Scopus Author ID: 55425526700

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Scopus - Elsevier (2016-09-08)

ResearcherID: B-8461-2017

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ResearcherID (2017-02-01)

### Biography

I am a number theorist, and am particularly interested in analytic, algebraic number theory. Thus far, my research has dealt with a selection of problems in number theory, including the Laurent-Stieltjes coefficients of Dirichlet L-series; the distribution of the special values of $L'/L(s, \chi)$ at s = 1 when $\chi$ ranges the primitive characters modulo $q$, as $q$ goes to infinity; the divisor function; the distribution of the Euler-Kronecker constant for the maximum real subfield of the cyclotomic field $\mathbf{Q}(\zeta_q)$ as $q$ ranges over the odd prime; the asymptotic behavior of the trigonometric product $\prod_{k=1}^N 2 \sin(\pi x_k)$ for $N \to \infty$, where the numbers $\omega=(x_k)_{k=1}^N$ are evenly distributed in the unit interval $[0,1]$; and the asymptotic behavior of the number of composite integers written by products of two proportional primes, namely RSA-integers. I also enjoy learning about combinatorial and probabilistic number theory and about more general topics in analysis and in financial mathematics.