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We combine a method of L. Panaitopol with some techniques for nonar-chimedean absolute values to provide a new proof for an irreducibility criterion of Perron for multivariate polynomials over an arbitrary field.

We present several methods to produce irreducible multivariate poly-nomials, starting from sufficiently large prime numbers.

7. The irreducibility of polynomials that have one large coefficient and take a prime value, 8. On the irreducibility of polynomials with leading coefficient divisible by a large prime power,

- Anca I. Bonciocat, Nicolae C. Bonciocat
- The American Mathematical Monthly
- 2009

- Nicolae Bonciocat, Iuliu O Marian
- Journal of pharmaceutical and biomedical analysis
- 2005

In a series of recent papers, Bonciocat et al., have shown that the faradaic current density of an electrode redox reactions occurring with combined limitations, of charge transfer and nonstationary linear, semi-infinite diffusion, is the solution of an integral equation of Volterra type. This integral equation has been transformed to describe the transport… (More)

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