On arithmetic progressions of equal lengthsand equal products of terms
نویسندگان
چکیده
منابع مشابه
On Equal Values of Power Sums of Arithmetic Progressions
In this paper, we consider the Diophantine equation b + (a+ b) + · · ·+ (a (x− 1) + b) = = d + (c+ d) + · · ·+ (c (y − 1) + d) , where a, b, c, d, k, l are given integers with gcd(a, b) = gcd(c, d) = 1, k 6= l. We prove that, under some reasonable assumptions, the above equation has only finitely many solutions.
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............................................................................................ 3 Abbreviations .................................................................................... 5 Sammanfattning på svenska ............................................................. 6 Introduction ...................................................................................... 8 Stroke .....
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1997
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-82-1-95-97