Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients

Details Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients

2011-11-29

arxiv.org/abs/1111.6800v1

Mathematics

Number Theory

20 pages, 7 Tables

Scientific paper

Let l>=1 be an arbitrary odd integer and p,q and r primes. We show that there exist infinitely many ternary cyclotomic polynomials \Phi_{pqr}(x) with l^2+3l+5<= p

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