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The irregular distribution of primes up to 300,000 in the sequence of odd numbers
prime distribution of primes
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2011/9/19
In this paper we listed a sequence of odd numbers up to 300,000 by a computer calculating and it could be find that the density of prime numbers is decreased as odd number increases and that there exi...
The distribution of pseudo prime numbers up to 300,000 in pseudo sequence of odd numbers
prime pseudo prime distribution of pseudo primes
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2011/9/19
In this paper a pseudo sequence of odd numbers had been advanced, and the number of pseudo prime numbers in it are largely less than the real prime numbers in the real sequence of odd numbers. This ps...
Distribution of Artin-Schreier extensions
Artin-Schreier extensions Number Theory noncyclic elementary abelian extensions
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2011/8/25
Abstract: The article at hand contains exact asymptotic formulas for the distribution of conductors of elementary abelian p-extensions of global function fields of characteristic p. As a consequence f...
On the distribution of cubic exponential sums
Exponential sums Cubic theta functions Metaplectic forms
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2011/8/23
Abstract: Using the theory of metaplectic forms,we study the asymptotic behavior of cubic exponential sums over the ring of Eisenstein integers. In the first part of the paper, some non-trivial estima...