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The local-global exact sequence for Chow groups of zero-cycles
zero-cycles local-global principle Brauer–Manin obstruction
2012/6/27
A local-global sequence for Chow groups of zero-cycles involving Brauer groups has been conjectured to be exact for all proper smooth algebraic varieties. We apply existing methods to construct severa...
The irregular distribution of primes up to 300,000 in the sequence of odd numbers
prime distribution of primes
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
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...
Abstract: We consider the second of Mullin's sequences of prime numbers related to Euclid's proof that there are infinitely many primes. We show in particular that it omits infinitely many primes, con...
Identities and congruences for a new sequence
congruence Euler polynomial identity p-regular function
2011/2/22
Let [x] be the greatest integer not exceeding x. In the paper we introduce the sequence {Un} given by U0 = 1 and Un = −2P[n/2] k=1 n 2kUn−2k (n 1), and establish many recursi...
We define a new sequence of positive integers, associated with Catalan numbers and Narayana polynomials.
On Simultaneous Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Simultaneous approximation Linear positive operators Linear combination Voronovskaja-type asymptotic formula Modulus of continuity
2010/2/26
In [1] we introduced a new sequence of linear positive operators Mn to approximate unbounded continuous functions of exponential growth on [0,\infty). As this sequence is saturated with O(n-1), to acc...
