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Matematicheskie Zametki, 2003, Volume 73, Issue 3, Pages 423–436
DOI: https://doi.org/10.4213/mzm192 (Mi mzm192) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Primes in Special Intervals and Additive Problems with Such Numbers

M. E. Changa

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (230 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm192
Abstract: We study primes in a special set $E$ which is naturally described by the fractional part of $p^a$, where $a<1$ is a noninteger. An asymptotic formula with power lowering in the remainder of the trigonometric sum over primes from the set $E$ is obtained. We study several applications of this result to problems of the distribution of primes from $E$ in arithmetic progressions and to additive problems with primes from $E$.
Received: 25.06.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 3, Pages 389–401
DOI: https://doi.org/10.1023/A:1023270112701
Bibliographic databases:
UDC: 511
Language: Russian
Citation: M. E. Changa, “Primes in Special Intervals and Additive Problems with Such Numbers”, Mat. Zametki, 73:3 (2003), 423–436; Math. Notes, 73:3 (2003), 389–401
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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