@article{CM_1990__75_3_307_0, author = {Shorey, T. N. and Tijdeman, R.}, title = {Perfect powers in products of terms in an arithmetical progression}, journal = {Compositio Mathematica}, pages = {307--344}, publisher = {Kluwer Academic Publishers}, volume = {75}, number = {3}, year = {1990}, mrnumber = {1070417}, zbl = {0708.11021}, language = {en}, url = {http://www.numdam.org/item/CM_1990__75_3_307_0/} }
TY - JOUR AU - Shorey, T. N. AU - Tijdeman, R. TI - Perfect powers in products of terms in an arithmetical progression JO - Compositio Mathematica PY - 1990 SP - 307 EP - 344 VL - 75 IS - 3 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1990__75_3_307_0/ LA - en ID - CM_1990__75_3_307_0 ER -
Shorey, T. N.; Tijdeman, R. Perfect powers in products of terms in an arithmetical progression. Compositio Mathematica, Volume 75 (1990) no. 3, pp. 307-344. http://www.numdam.org/item/CM_1990__75_3_307_0/
1 Note on the product of consecutiue integers (I) and (II), J. London Math. Soc. 14 (1939), 194-198 and 245-249. | JFM | Zbl
,2 On a diophantine equation, J. London Math. Soc. 26 (1951), 176-178. | MR | Zbl
,3 On the product of consecutive integers III, Indag. Math. 17 (1955), 85-90. | MR | Zbl
,4 The product of consecutive integers is never a power, Illinois J. Math. 19 (1975), 292-301. | MR | Zbl
and ,5 Products of integers in short intervals, Acta Arith. 44 (1984), 147-174. | MR | Zbl
and ,6 On the equation axn - byn = c, Compositio Math. 47 (1982), 289-315. | Numdam | MR | Zbl
,7 On a theorem of Sylvester and Schur, Canad. Math. Bull. 16 (1973), 195-199. | MR | Zbl
,8 Primes in short intervals, Monatsh. Math. 98 (1984), 115-143. | MR | Zbl
and ,9 Plus grand facteur premier d'entiers en progression arithmétique, Sém. Delange-Pisot-Poitou, 18e année, 1976-77, no. 3, 7 pp. | Numdam | Zbl
,10 On the product of consecutive elements of an arithmetic progression, Monatsh. Math. 100 (1985), 215-222. | MR | Zbl
,11 Uber ein diophantisches Problem, 9th Congress Math. Scand., Helsingfors, 1938, Mercator, Helsingfors, 1939, 155-160. | JFM | Zbl
,12 Perfect powers in values of certain polynomials at integer points, Math. Proc. Camb. Phil. Soc. 99 (1986), 195-207. | MR | Zbl
,13 Perfect powers in products of integers from a block of consecutive integers, Acta Arith. 49 (1987), 71-79. | MR | Zbl
,14 Some exponential diophantine equations, New Advances in Transcendence Theory, ed. by A. Baker, Cambridge University Press, 1988, pp. 352-365. | MR | Zbl
,15 Some exponential diophantine equations II, Number Theory and Related Topics, Tata Institute of Fundamental Research, Bombay, 1988, pp. 217-229. | MR | Zbl
,16 On the greatest prime factor of an arithmetical progression, A Tribute to Paul Erdös, Cambridge Univ. Press, to appear. | MR | Zbl
and ,17 Perfect powers in arithmetical progression, J. Madras Univ., Section B, 51 (1988), 173-180.
and ,18 On arithmetic series, Messenger Math. 21 (1892), 1-19 and 87-120. | JFM
,19 Applications of the Gel'fond-Baker method to rational number theory, Coll. Math. Jańos Bolyai, 13. Topics in Number Theory (Debrecen, 1974), North-Holland, Amsterdam, 1976, pp. 399-416. | MR | Zbl
,20 Diophantine equation and diophantine approximations, Number Theory and Applications, Kluwer Acad. Publ., Dordrecht, 1989, pp. 215-243. | Zbl
,21 Linear forms in the p-adic logarithms, Acta. Arith. 53 (1989), 107-186. | MR | Zbl
,22 Linear forms in p-adic logarithms II, Compositio Math. 74 (1990), 15-113. | Numdam | Zbl
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