@article{MTMT:1076138, title = {On the Diophantine equation $S_{m}(x)=g(y)$}, url = {https://m2.mtmt.hu/api/publication/1076138}, author = {Rakaczki, Csaba}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {65}, unique-id = {1076138}, issn = {0033-3883}, year = {2004}, eissn = {2064-2849}, pages = {439-460} } @article{MTMT:21331477, title = {Diophantine Equations and Bernoulli Polynomials (with an appendix by A. Schinzel)}, url = {https://m2.mtmt.hu/api/publication/21331477}, author = {Yu, F Bilu and B, Brindza and P, Kirschenhofer and Pintér, Ákos and R F, Tichy}, doi = {10.1023/A:1014972217217}, journal-iso = {COMPOS MATH}, journal = {COMPOSITIO MATHEMATICA}, volume = {131}, unique-id = {21331477}, issn = {0010-437X}, abstract = {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.}, year = {2002}, eissn = {1570-5846}, pages = {173-188} } @article{MTMT:1111347, title = {On equal values of power sums}, url = {https://m2.mtmt.hu/api/publication/1111347}, author = {Brindza, B and Pintér, Ákos}, doi = {10.4064/aa-77-1-97-101}, journal-iso = {ACTA ARITH}, journal = {ACTA ARITHMETICA}, volume = {77}, unique-id = {1111347}, issn = {0065-1036}, year = {1996}, eissn = {1730-6264}, pages = {97-101} } @article{MTMT:30356024, title = {On the diophantine equation 1k+2k+...+xk+R(x)=yz}, url = {https://m2.mtmt.hu/api/publication/30356024}, author = {Voorhoeve, M. and Győry, Kálmán and Tijdeman, R.}, doi = {10.1007/BF02392086}, journal-iso = {ACTA MATH-DJURSHOLM}, journal = {ACTA MATHEMATICA}, volume = {143}, unique-id = {30356024}, issn = {0001-5962}, year = {1979}, eissn = {1871-2509}, pages = {1-8} }