Divisibility properties of generalized Laguerre polynomials |
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| Authors: | Clemens Fuchs |
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| Institution: | a Department of Mathematics, ETH Zurich, Rämistrasse 101, 8092 Zürich, Switzerland
b School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400005 Mumbai, India |
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| Abstract: | In this paper we give effective upper bounds for the degree k of divisors (over ?) of generalized Laguerre polynomials Lαn(x), i.e. of  for α = −tn − s − 1 and α = tn + s with t,s ∈ ?, t = O(log k), s = O(k log k) and k sufficiently large. |
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| Keywords: | 11C08 33C45 11N05 |
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