This is a preview of subscription content, log in via an institution to check access.
References
A. Baker, Bounds for the solutions of the hyperelliptic equation,Proc. Camb. Phil. Soc.,65 (1969), 439–444.
Z. I. Borevich and I. R. Shafarevich,Number theory, Academic Press, 2nd. ed. (New York and London, 1967).
K. Győry, On the solutions of linear diophantine equations in algebraic integers of bounded norm,Ann. Univ. Sci. Budapest, Sect. Math.,22–23 (1979–1980), 225–233.
K. Győry, R. Tijdeman and M. Voorhoeve, On the equation 1k+2k+...+x k=yz,Acta Arith.,37 (1980), 233–240.
W. J. LeVeque, On the equationy m=f(x),Acta Arith.,9 (1964), 209–219.
C. L. Siegel, The integer solutions of the equationy 2=ax n+bxn−1+...+k, J. London Math. Soc.,1 (1926), 66–68.
V. G. Sprindžuk, Square-free divisors of polynomials and class numbers of algebraic number fields (in Russian),Acta Arith.,24 (1973), 143–149.
V. G. Sprindžuk, A hyperelliptic diophantine equation and class numbers (in Russian),Acta Arith.,30 (1976), 95–108.
V. G. Sprindžuk, Arithmetical structure of integral polynomials and class numbers (in Russian),Trudy Math. Inst. Steklov,143 (1977), 152–174.
L. A. Trelina, OnS-integral solutions of the hyperelliptic equation (in Russian),Dokl. Akad. Nauk BSSR, (1978), 881–884.
M. Voorhoeve, K. Győry and R. Tijdeman, On the Diophantine equation 1k+2k+...+x k+R(x)=y z,Acta Math.,143 (1979), 1–8.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brindza, B. OnS-integral solutions of the equationy m=f(x) . Acta Math Hung 44, 133–139 (1984). https://doi.org/10.1007/BF01974110
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01974110