Banking Sector Systemic Risk in Selected Cenral European Countries. Review of: Bulgaria, Czech Republic, Hungary, Poland, Romania and Slovakia

The paper is an attempt at a comparative overview of banking sector systemic risk in six Central European countries as of the end of 1997 concluding with some policy recommendations. The countries covered by the paper (Bulgaria, Czech Republic, Hungary, Poland, Romania and Slovakia) are specific by the fact that in the early 1990’s they moved from a socialist to a market economy and the legacy of a socialist economy still has an important influence in the shape of their banking sectors. All six countries underwent banking crisis in 1990s and spent significant budgetary resources to deal with them. Crises have been overcome without system destabilization only in Hungary and Poland. Now, the banking sectors in these two countries are relatively robust although small in relation to GDP. In Bulgaria a banking crisis ended with a major destabilization, dramatic downsizing of banking assets and a deep recession. Presently, the banking sector is reported to be liquid and solvent and the potential for assets quality deterioration is limited for some time. Romania, the Czech Republic and Slovakia have yet to deal with their continuing banking crises, which still constitute a danger for economic stability and development.banking sector, systemic risk, Bulgaria, Czech Republic, Hungary, Poland, Romania, Slovakia

Antenna Design for Semi-Passive UHF RFID Transponder with Energy Harvester

A novel microstrip antenna which is dedicated to UHF semi-passive RFID transponders with an energy harvester is presented in this paper. The antenna structure designed and simulated by using Mentor Graphics HyperLynx 3D EM software is described in details. The modeling and simulation results along with comparison with experimental data are analyzed and concluded. The main goal of the project is the need to eliminate a traditional battery form the transponder structure. The energy harvesting block, which is used instead, converts ambient energy (electromagnetic energy of typical radio communication system) into electrical power for internal circuitry. The additional function (gathering extra energy) of the transponder antenna causes the necessity to create new designs in this scope

On the series expansion of a square-free zeta series

In this article, we develop a square-free zeta series associated with the M\"obius function into a power series, and prove a Stieltjes like formula for these expansion coefficients. We also investigate another analytical continuation of these series and develop a formula for $\zeta(\tfrac{1}{2})$ in terms of the M\"obius function, and in the last part, we explore an alternating series version of these results.Comment: 9 pages, 2 figures (minor updates

The inverse Riemann zeta function

In this article, we develop a formula for an inverse Riemann zeta function such that for $w=\zeta(s)$ we have $s=\zeta^{-1}(w)$ for real and complex domains $s$ and $w$. The presented work is based on extending the analytical recurrence formulas for trivial and non-trivial zeros to solve an equation $\zeta(s)-w=0$ for a given $w$-domain using logarithmic differentiation and zeta recursive root extraction methods. We further explore formulas for trivial and non-trivial zeros of the Riemann zeta function in greater detail, and next, we introduce an expansion of the inverse zeta function by its singularities, and study its properties and develop many identities that emerge from them. In the last part, we extend the presented results as a general method for finding zeros and inverses of many other functions, such as the gamma function, the Bessel function of the first kind, or finite/infinite degree polynomials and rational functions, etc. We further compute all the presented formulas numerically to high precision and show that these formulas do indeed converge to the inverse of the Riemann zeta function and the related results. We also develop a fast algorithm to compute $\zeta^{-1}(w)$ for complex $w$.Comment: 77 pages, 11 tables, 8 figures, 7 listing

Analytical recurrence formulas for non-trivial zeros of the Riemann zeta function

In this article, we develop four types of analytical recurrence formulas for non-trivial zeros of the Riemann zeta function on critical line assuming (RH). Thus, all non-trivial zeros up to the $n$th order must be known in order to generate the $n$th+1 non-trivial zero. All the presented formulas are based on certain closed-form representations of the secondary zeta function family, which are already available in the literature. We also present a formula to generate the non-trivial zeros directly from primes. Thus all primes can be converted into an individual non-trivial zero, and we also give a set of formulas to convert all non-trivial zeros into an individual prime. We also extend the presented results to other Dirichlet-L functions, and in particular, we develop an analytical recurrence formula for non-trivial zeros of the Dirichlet beta function. Throughout this article, we also numerically compute these formulas to high precision for various test cases and review the computed results.Comment: 24 pages, 5 tables, 6 listings. arXiv admin note: text overlap with arXiv:2009.0264

On the series expansion of the secondary zeta function

In article, we explore the secondary zeta function $Z(s)$, which is defined as a generalized zeta type of series over imaginary parts of non-trivial zeros of the Riemann zeta function $\zeta(s)$. This function has been analytically continued as a meromorphic function in $\mathbb{C}$ with one double pole and an infinity of simple poles. The secondary zeta function is of interest because it can naturally represent an analytical formula for non-trivial zeros of the Riemann zeta function that we will explore, and we show that the non-trivial zeros can be generated directly from primes by introducing a new form of an explicit formula written in terms of the prime zeta function. Additionally, we will also give several new series expansions for $Z(s)$ and numerically compute these coefficients to high precision, and also develop several new methods to analytically extend $Z(s)$ to larger domains and develop algorithms to compute them.Comment: 32pg, 6 figs, 10 tables (v2 minor improvements