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pro vyhledávání: '"Koutschan, C."'
Quaternary Legendre pairs are pertinent to the construction of quaternary Hadamard matrices and have many applications, for example in coding theory and communications. In contrast to binary Legendre pairs, quaternary ones can exist for even length $
Externí odkaz:
http://arxiv.org/abs/2408.16318
Publikováno v:
In Journal of Symbolic Computation March-April 2025 127
We show that the results we had obtained on diagonals of nine and ten parameters families of rational functions using creative telescoping, yielding modular forms expressed as pullbacked $ _2F_1$ hypergeometric functions, can be obtained, much more e
Externí odkaz:
http://arxiv.org/abs/2002.00789
We show that the unresolved examples of Christol's conjecture $ \, _3F_{2}\left([2/9,5/9,8/9],[2/3,1],x\right)$ and $_3F_{2}\left([1/9,4/9,7/9],[1/3,1],x\right)$, are indeed diagonals of rational functions. We also show that other $\, _3F_2$ and $\,
Externí odkaz:
http://arxiv.org/abs/1912.10259
We provide a set of diagonals of simple rational functions of three and four variables that are squares of Heun functions. These Heun functions obtained through creative telescoping, turn out to be either pullbacked $_2F_1$ hypergeometric functions a
Externí odkaz:
http://arxiv.org/abs/1910.10761
Publikováno v:
Journal of Physics A: Mathematical and Theoretical, vol. 51, article 455201, 2018
We recall that diagonals of rational functions naturally occur in lattice statistical mechanics and enumerative combinatorics. We find that a seven-parameter rational function of three variables with a numerator equal to one (reciprocal of a polynomi
Externí odkaz:
http://arxiv.org/abs/1805.04711
Gabrielov's famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis computations for echelons, a generalization of the concept of ideals i
Externí odkaz:
http://arxiv.org/abs/1804.08160
We previously reported on a recursive method to generate the expansion of the lattice Green function of the $d$-dimensional face-centred cubic lattice (fcc). The method was used to generate many coefficients for d=7 and the corresponding linear diffe
Externí odkaz:
http://arxiv.org/abs/1601.05657
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