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On a Diophantine Equation Concerning the Number of Integer Points in Special Domains

✍ Scribed by L. Hajdu

Book ID
110236372
Publisher
Akadmiai Kiad
Year
1998
Tongue
English
Weight
519 KB
Volume
78
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES

A diophantine definition of integers in
A diophantine definition of integers in the rings of rational numbers
✍ Alexandra Shlapentokh πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 568 KB

## Abstract The author considers rings of rational numbers which are integral at all the primes except, possibly, primes contained in a finite set. In such rings a Diophantine definition of β„€ is constructed to show that all the recursively enumerable subsets of the ring are Diophantine.

On the number of solutions of a diophant
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✍ M.Z. Garaev πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 117 KB

For a class of strictly increasing real valued functions f (n) we obtain an upper bound for the number of solutions of the equation f (y i ), 1 x 1 , . . . , y d N.