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- Martin Avendano, Ashraf Ibrahim, J. Maurice Rojas, Korben Rusek
- ISSAC
- 2010

Relative to the sparse encoding, we show that deciding whether a univariate polynomial has a <i>p</i>-adic rational root can be done in <b>NP</b> for most inputs. We also prove a sharper complexityâ€¦ (More)

We present a new, far simpler family of counter-examples to Kushnirenkoâ€™s Conjecture. Along the way, we illustrate a computer-assisted approach to finding sparse polynomial systems with maximallyâ€¦ (More)

- Joshua A. Grochow, Korben Rusek
- ArXiv
- 2012

This is a report on a workshop held August 1 to August 5, 2011 at the Institute for Computational and Experimental Research in Mathematics (ICERM) at Brown University, Providence, Rhode Island,â€¦ (More)

- DENSE FEWNOMIALS, Korben Rusek, JEANETTE SHAKALLI, Frank Sottile
- 2011

We derive new bounds of fewnomial type for the number of real solutions to systems of polynomials that have structure intermediate between fewnomials and generic (dense) polynomials. This uses aâ€¦ (More)

- Martin Avendano, Ashraf Ibrahim, J. Maurice Rojas, Korben Rusek
- J. Symb. Comput.
- 2012

We present algorithms revealing new families of polynomials allowing sub-exponential detection of p-adic rational roots, relative to the sparse encoding. For instance, we show that the case of honestâ€¦ (More)

- A A Pakou, Korben Rusek, +10 authors Dennis Roubos
- 2007

A. Pakou,1 K. Rusek,2 N. Alamanos,3 X. Aslanoglou,1 S. Harissopulos,4 M. Kokkoris,5 A. Lagoyannis,4 T. J. Mertzimekis,1 A. Musumarra,6 N. G. Nicolis,1 C. Papachristodoulou,1 D. Pierroutsakou,7 and D.â€¦ (More)

- Efstathios Stiliaris, A A Pakou, +20 authors Katerina N. Zerva
- 2012 IEEE Nuclear Science Symposium and Medicalâ€¦
- 2012

An experimental technique is described in the present work capable to identify pileup events and to reconstruct the hidden energy information. The procedure is based on the pulse shape analysis ofâ€¦ (More)

- J. Maurice Rojas, Korben Rusek
- ArXiv
- 2016

We take a first step toward extending the theory of A-discriminants, and Kapranovâ€™s parametrization of A-discriminant varieties [Kap91], to a broader family of functions including polynomials as aâ€¦ (More)

- O. Sgouros, A A Pakou, +26 authors D. Torresi
- 2016

1 Department of Physics and HINP, University of Ioannina, 45110 Ioannina, Greece. 2 INFN, Sezione di Napoli, I-80125 Napoli, Italy. 3 Departimento di Fisica e Astronomia, UniversitÃ di Padova,â€¦ (More)

We show that deciding whether a sparse polynomial in one variable has a root in Fp (for p prime) is NP-hard with respect to BPP reductions. As a consequence, we answer open questions on theâ€¦ (More)