Every real number , has an essentially unique expansion as a Pierce series :
@article{JTNB_1991__3_1_43_0, author = {Erd\"os, P. and Shallit, J. O.}, title = {New bounds on the length of finite pierce and {Engel} series}, journal = {S\'eminaire de th\'eorie des nombres de Bordeaux}, pages = {43--53}, publisher = {Universit\'e Bordeaux I}, volume = {Ser. 2, 3}, number = {1}, year = {1991}, mrnumber = {1116100}, zbl = {0727.11003}, language = {en}, url = {http://archive.numdam.org/item/JTNB_1991__3_1_43_0/} }
TY - JOUR AU - Erdös, P. AU - Shallit, J. O. TI - New bounds on the length of finite pierce and Engel series JO - Séminaire de théorie des nombres de Bordeaux PY - 1991 SP - 43 EP - 53 VL - 3 IS - 1 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_1991__3_1_43_0/ LA - en ID - JTNB_1991__3_1_43_0 ER -
Erdös, P.; Shallit, J. O. New bounds on the length of finite pierce and Engel series. Séminaire de théorie des nombres de Bordeaux, Serie 2, Volume 3 (1991) no. 1, pp. 43-53. http://archive.numdam.org/item/JTNB_1991__3_1_43_0/
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