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On the Character of Philosophical Problems

โœ Scribed by Carnap, Rudolf

Year
0
Tongue
English
Weight
541 KB
Category
Fiction

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๐Ÿ“œ SIMILAR VOLUMES

On a Character Sum Problem of Cohn
On a Character Sum Problem of Cohn
โœ Pรคr Kurlberg ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

Let f be a complex-valued function on a finite field F such that f(0)=0, f(1)=1, and |f(x)|=1 for x ] 0. H. Cohn asked if it follows that f is a nontrivial multiplicative character provided that ; x ยฅ F f(x) f(x+h)=-1 for h ] 0. We prove that this is the case for finite fields of prime cardinality u

On character sums and the exceptional se
On character sums and the exceptional set of a congruence problem
โœ M.Z. Garaev; A.A. Karatsuba ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 184 KB

We prove an estimate of character sums. This bound and the method of solving multiplicative ternary problems are used to obtain new results about the cardinality of an exceptional set of a congruence problem modulo a prime p. In particular, we show that "almost all" residue classes modulo p are repr