Search Results - "Koutschan, Christoph"

Creative Telescoping on Multiple Sums by Koutschan, Christoph, Wong, Elaine

“…We showcase a collection of practical strategies to deal with a problem arising from an analysis of integral estimators derived via quasi-Monte Carlo methods…”
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Calculation and Properties of Zonal Polynomials by Jiu, Lin, Koutschan, Christoph

“…We investigate the zonal polynomials, a family of symmetric polynomials that appear in many mathematical contexts, such as multivariate statistics,…”
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Tweaking the Beukers integrals in search of more miraculous irrationality proofs a la Apéry by Dougherty-Bliss, Robert, Koutschan, Christoph, Zeilberger, Doron

“…There are only aleph-zero rational numbers, while there are 2 to the power aleph-zero real numbers. Hence the probability that a randomly chosen real number…”
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Planar linkages following a prescribed motion by GALLET, MATTEO, KOUTSCHAN, CHRISTOPH, LI, ZIJIA, REGENSBURGER, GEORG, SCHICHO, JOSEF, VILLAMIZAR, NELLY

“…Designing mechanical devices, called linkages, that draw a given plane curve has been a topic that interested engineers and mathematicians for hundreds of…”
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Common Factors in Fraction-Free Matrix Decompositions by Middeke, Johannes, Jeffrey, David J., Koutschan, Christoph

“…We consider LU and QR matrix decompositions using exact computations. We show that fraction-free Gauß–Bareiss reduction leads to triangular matrices having a…”
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Diagonals of Rational Functions: From Differential Algebra to Effective Algebraic Geometry by Abdelaziz, Youssef, Boukraa, Salah, Koutschan, Christoph, Maillard, Jean-Marie

“…We show that the results we had previously obtained on diagonals of 9- and 10-parameter families of rational functions in three variables x, y, and z, using…”
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Proof of George Andrews's and David Robbins's q-TSPP conjecture by Koustschan, Christoph, Kauers, Manuel, Zeilberger, Doron, Andrews, George E.

“…The conjecture that the orbit-counting generating function for totally symmetric plane partitions can be written as an explicit product formula has been stated…”
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MIMO Zero-Forcing Performance Evaluation Using the Holonomic Gradient Method by Siriteanu, Constantin, Takemura, Akimichi, Kuriki, Satoshi, Hyundong Shin, Koutschan, Christoph

“…For multiple-input-multiple-output (MIMO) spatial-multiplexing transmission, zero-forcing (ZF) detection is appealing because of its low complexity. Our recent…”
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Proof of Ira Gessel's Lattice Path Conjecture by Kauers, Manuel, Koutschan, Christoph, Zeilberger, Doron, Stanley, Richard P.

“…We present a computer-aided, yet fully rigorous, proof of Ira Gessel's tantalizingly simply stated conjecture that the number of ways of walking 2n steps in…”
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Legendre pairs of lengths ℓ ≡ 0 (mod 5) by Kotsireas, Ilias S., Koutschan, Christoph, Bulutoglu, Dursun A., Arquette, David M., Turner, Jonathan S., Ryan, Kenneth J.

“…Abstract By assuming a type of balance for length ℓ = 87 \ell =87 and nontrivial subgroups of multiplier groups of Legendre pairs (LPs) for length ℓ = 85 \ell…”
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Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading by Siriteanu, Constantin Costi, Takemura, Akimichi, Koutschan, Christoph, Kuriki, Satoshi, St. P. Richards, Donald, Hyundong Shin

“…We study zero-forcing (ZF) detection for multiple input/multiple output (MIMO) spatial multiplexing under transmit-correlated Rician fading for an N R × N T…”
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Realizations of Rigid Graphs by Koutschan, Christoph

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Harmonic interpolation based on Radon projections along the sides of regular polygons by Georgieva Irina, Hofreither Clemens, Koutschan Christoph, Pillwein Veronika, Thanatipanonda Thotsaporn

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A Fast Approach to Creative Telescoping by Koutschan, Christoph

“…In this note we reinvestigate the task of computing creative telescoping relations in differential–difference operator algebras. Our approach is based on an…”
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Legendre pairs of lengths ℓ ≡ 0 ( mod 3 ) by Kotsireas, Ilias, Koutschan, Christoph

“…We prove a proposition that connects constant‐periodic autocorrelation function sequences and the corresponding Legendre pairs with integer power spectral…”
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Integrals of powers of loggamma by AMDEBERHAN, TEWODROS, COFFEY, MARK W., ESPINOSA, OLIVIER, KOUTSCHAN, CHRISTOPH, MANNA, DANTE V., MOLL, VICTOR H.

“…Properties of the integral of powers of log Г(x) from 0 to 1 are considered. Analytic evaluations for the first two powers are presented. Empirical evidence…”
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Computing one of Victor Moll's irresistible integrals with computer algebra by Christoph Koutschan, Viktor Levandovskyy

“…We investigate a certain quartic integral from V. Moll's book “Irresistible Integrals” and demonstrate how it can be solved by computer algebra methods, namely…”
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Gene Transfer-Based Phylogenetics: Analytical Expressions and Additivity via Birth–Death Theory by Katriel, Guy, Mahanaymi, Udi, Brezner, Shelly, Kezel, Noor, Koutschan, Christoph, Zeilberger, Doron, Steel, Mike, Snir, Sagi

“…Abstract The genomic era has opened up vast opportunities in molecular systematics, one of which is deciphering the evolutionary history in fine detail. Under…”
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Lower Bounds on the Number of Realizations of Rigid Graphs by Grasegger, Georg, Koutschan, Christoph, Tsigaridas, Elias

“…Computing the number of realizations of a minimally rigid graph is a notoriously difficult problem. Toward this goal, for graphs that are minimally rigid in…”
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Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik by Amdeberhan, Tewodros, Moll, Victor H., Santander, John Lopez, McLaughlin, Ken, Koutschan, Christoph

“…The long-time behavior of solutions to the initial value problem for the Korteweg–de Vries equation on the whole line, with general initial conditions has been…”
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