منابع مشابه
An Asymptotic Expansion for Expectations of Functions of Sums via Conditional Moments
For functions of sums of conditionally independent random variables an asymptotic expansion of their expectations is presented. As an example, the expansion of a Bayes risk is given.
متن کاملSums of Primes and Squares of Primes in Short Intervals
Let H2 denote the set of even integers n 6≡ 1 (mod 3). We prove that when H ≥ X, almost all integers n ∈ H2 ∩ (X,X + H] can be represented as the sum of a prime and the square of a prime. We also prove a similar result for sums of three squares of primes.
متن کاملTrigonometric sums over primes III
© Université Bordeaux 1, 2003, tous droits réservés. L’accès aux archives de la revue « Journal de Théorie des Nombres de Bordeaux » (http://jtnb.cedram.org/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier do...
متن کاملAsymptotic sieve for primes
For a long time it was believed that sieve methods might be incapable of achieving the goal for which they had been created, the detection of prime numbers. Indeed, it was shown [S], [B] to be inevitable that, in the sieve’s original framework, no such result was possible although one could come tantalizingly close. This general limitation is recognized as the “parity problem” of sieve theory. ...
متن کاملOn Sums of Primes and Triangular
We study whether sufficiently large integers can be written in the form cp+ Tx, where p is either zero or a prime congruent to r mod d, and Tx = x(x + 1)/2 is a triangular number. We also investigate whether there are infinitely many positive integers not of the form (2ap−r)/m+Tx with p a prime and x an integer. Besides two theorems, the paper also contains several conjectures together with rel...
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ژورنال
عنوان ژورنال: International Journal of Contemporary Mathematical Sciences
سال: 2014
ISSN: 1314-7544
DOI: 10.12988/ijcms.2014.411115