Soit un polynôme qui est une puissance d’un polynôme de degré et dont les racines réelles sont simples. Etant donnés les entiers positifs satisfaisant pgcd et si , nous démontrons que l’équation
Let be a monic polynomial which is a power of a polynomial of degree and having simple real roots. For given positive integers with and gcd with whenever , we show that the equation
@article{JTNB_1997__9_1_183_0, author = {Saradha, N.}, title = {On blocks of arithmetic progressions with equal products}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {183--199}, publisher = {Universit\'e Bordeaux I}, volume = {9}, number = {1}, year = {1997}, mrnumber = {1469667}, zbl = {0889.11010}, language = {en}, url = {http://archive.numdam.org/item/JTNB_1997__9_1_183_0/} }
TY - JOUR AU - Saradha, N. TI - On blocks of arithmetic progressions with equal products JO - Journal de théorie des nombres de Bordeaux PY - 1997 SP - 183 EP - 199 VL - 9 IS - 1 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_1997__9_1_183_0/ LA - en ID - JTNB_1997__9_1_183_0 ER -
Saradha, N. On blocks of arithmetic progressions with equal products. Journal de théorie des nombres de Bordeaux, Tome 9 (1997) no. 1, pp. 183-199. http://archive.numdam.org/item/JTNB_1997__9_1_183_0/
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