TY  - JOUR
AU  - Rakaczki, Csaba
TI  - On the Diophantine equation $S_{m}(x)=g(y)$
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 65
PY  - 2004
SP  - 439
EP  - 460
PG  - 22
SN  - 0033-3883
UR  - https://m2.mtmt.hu/api/publication/1076138
ID  - 1076138
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Yu, F Bilu
AU  - B, Brindza
AU  - P, Kirschenhofer
AU  - Pintér, Ákos
AU  - R F, Tichy
TI  - Diophantine Equations and Bernoulli Polynomials (with an appendix by A. Schinzel)
JF  - COMPOSITIO MATHEMATICA
J2  - COMPOS MATH
VL  - 131
PY  - 2002
IS  - 2
SP  - 173
EP  - 188
PG  - 16
SN  - 0010-437X
DO  - 10.1023/A:1014972217217
UR  - https://m2.mtmt.hu/api/publication/21331477
ID  - 21331477
AB  - Given m, n greater than or equal to 2, we prove that, for sufficiently
large y, the sum 1(n) +...+ y(n) is not a product of m consecutive
integers. We also prove that for m not equal n we have 1(m) +...+ x(m)
not equal 1(n) +...+ y(n), provided x, y are sufficiently large. Among
other auxiliary facts, we show that Bernoulli polynomials of odd index
are indecomposable, and those of even index are 'almost'
indecomposable, a result of independent interest.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Brindza, B
AU  - Pintér, Ákos
TI  - On equal values of power sums
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 77
PY  - 1996
IS  - 1
SP  - 97
EP  - 101
PG  - 5
SN  - 0065-1036
DO  - 10.4064/aa-77-1-97-101
UR  - https://m2.mtmt.hu/api/publication/1111347
ID  - 1111347
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Voorhoeve, M.
AU  - Győry, Kálmán
AU  - Tijdeman, R.
TI  - On the diophantine equation 1k+2k+...+xk+R(x)=yz
JF  - ACTA MATHEMATICA
J2  - ACTA MATH-DJURSHOLM
VL  - 143
PY  - 1979
IS  - 1-2
SP  - 1
EP  - 8
PG  - 8
SN  - 0001-5962
DO  - 10.1007/BF02392086
UR  - https://m2.mtmt.hu/api/publication/30356024
ID  - 30356024
LA  - English
DB  - MTMT
ER  -