Polynomial values of sums of products of consecutive integers-Reference-Cited by-同舟云学术

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Polynomial values of sums of products of consecutive integers

Published:2017-11-03 Issue:1 Volume:187 Page:21-34
ISSN:0026-9255
Container-title:Monatshefte für Mathematik
language:en
Short-container-title:Monatsh Math

Author:

Bazsó A.,Bérczes A.,Hajdu L.,Luca F.

Funder

NKFIH

University of Debrecen

János Bolyai Scholarship of the Hungarian Academy of Sciences

Hungarian Acasemy of Sciences

NRF of South Africa

Czech Granting Agency

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s00605-017-1130-2/fulltext.html

Reference13 articles.

1. Bérczes, A., Brindza, B., Hajdu, L.: On the power values of polynomials. Publ. Math. Debr. 53, 375–381 (1998)

2. Beukers, F., Shorey, T.N. and Tijdeman, R.: Irreducibility of polynomials and arithmetic progressions with equal products of terms, number theory in progress, vol. 1 (Zakopane-Kościelisko, 1997), pp. 11–26. de Gruyter, Berlin (1999)

3. Brindza, B.: On $$S$$ S -integral solutions of the equation $$y^{m}=f(x)$$ y m = f ( x ) . Acta Math. Hungar. 44, 133–139 (1984)

4. Bilu, YuF, Tichy, R.F.: The Diophantine equation $$f(x) = g(y)$$ f ( x ) = g ( y ) . Acta Arith. 95, 261–288 (2000)

5. Brindza, B., Bilu, YuF, Kirschenhofer, P., Pintér, Á., Tichy, R.: Diophantine equations and Bernoulli polynomials, With an appendix by A. Schinzel. Compos. Math. 131, 173–188 (2002)

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1. On the Ternary Exponential Diophantine Equation Equating a Perfect Power and Sum of Products of Consecutive Integers;Mathematics;2021-07-30

2. Diophantine equations in separated variables and polynomial power sums;Monatshefte für Mathematik;2021-04-30

3. On linear combinations of products of consecutive integers;Acta Mathematica Hungarica;2020-10-22

4. Polynomial values of figurate numbers;Journal of Number Theory;2020-09

5. Polynomial values of sums of hyperbolic binomial coefficients;Functiones et Approximatio Commentarii Mathematici;2020-09-01

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