The flatness of ternary cyclotomic polynomials
Rendiconti del Seminario Matematico della Università di Padova, Tome 145 (2021), pp. 1-42.
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It is well known that all of the prime cyclotomic polynomials and binary cyclotomic polynomials are flat, and the flatness of ternary cyclotomic polynomials is much more complicated. Let p<q<r be odd primes such that zr≡± (mod pq), where z is a positive integer. So far, the classification of flat ternary cyclotomic polynomials for 1≤z≤5 has been given. In this paper, for z=6 and q≡±1 (mod p), we give the necessary and sufficient conditions for ternary cyclotomic polynomials Φ pqr (x) to be flat.

Publié le :
DOI : 10.4171/rsmup/47
Classification : 11, 00 
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     author = {Bin Zhang},
     title = {The flatness of ternary cyclotomic polynomials},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--42},
     volume = {145},
     year = {2021},
     doi = {10.4171/rsmup/47},
     mrnumber = {4261643},
     zbl = {1485.11067},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/47/}
}
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Bin Zhang. The flatness of ternary cyclotomic polynomials. Rendiconti del Seminario Matematico della Università di Padova, Tome 145 (2021), pp. 1-42. doi : 10.4171/rsmup/47. http://www.numdam.org/articles/10.4171/rsmup/47/

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