Periodicity in quasipolynomial convolution
The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2
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The leading term of a convolution of quasipolynomials with periods $p$ and $q$ is periodic with period $\gcd(p,q)$, smaller than expected. The degree of the convolution is usually $d+e+1$; we characterize the exceptions. To do this we need to characterize the null space of a circulant matrix.
DOI : 10.37236/1868
Classification : 05A15, 11D04, 11D45, 15A18, 39A12, 44A35
Mots-clés : null space, circulant matrix
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     author = {Thomas Zaslavsky},
     title = {Periodicity in quasipolynomial convolution},
     journal = {The electronic journal of combinatorics},
     year = {2004},
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     number = {2},
     doi = {10.37236/1868},
     zbl = {1062.05012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1868/}
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Thomas Zaslavsky. Periodicity in quasipolynomial convolution. The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2. doi: 10.37236/1868

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