Complete settling of the multiplier conjecture for the case of n=3pr |
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Authors: | Qiu Weisheng |
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Institution: | (1) School of Mathematical Science, Peking University, 100871 Beijing, China |
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Abstract: | In this paper we improve the character approach to the multiplier conjecture that we presented after 1992, and thus we have
made considerable progress in the case of n = 3n1. We prove that in the case of n = 3n1 Second multiplier theorem remains true if the assumption “n1 > λ” is replaced by “(n1, λ) = 1”. Consequentially we prove that if we let D be a (v, k, λ)-difference set in an abelian group G, and n = 3pr for some prime p, (p,v) = 1, then p is a numerical multiplier of D. |
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Keywords: | difference set multiplier conjecture group ring character inversion formula cyclotomic field CH-equations basic equation |
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