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Let $a\geqslant2$ be a fixed integer in this paper. By using the method of Goldston, Pintz and Y{\i}ld{\i}r{\i}m, we will prove that there are infinitely many almost-primes which can be represented as $p+a^m$ in at least two different ways.
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참고문헌 (10)
참고문헌 신청
Y. G. Chen / 2004 / On Romanoff's constant / J. Number Theory 106:275~284
P. Erdos / 1950 / On integers of the form 2k + p and some related problems / Summa Brasil. Math 2:113~123
J. B. Friedlander / 2009 / Hyperbolic prime number theorem / Acta Math 202:1~19
J. B. Friedlander / 2010 / Opera de Cribro / American Mathematical Society
D. A. Goldston / 2009 / Primes in tuples I / Ann. of Math 170:819~862
P. Erdos / 1950 / On integers of the form 2k + p and some related problems / Summa Brasil. Math 2:113~123
J. B. Friedlander / 2009 / Hyperbolic prime number theorem / Acta Math 202:1~19
J. B. Friedlander / 2010 / Opera de Cribro / American Mathematical Society
D. A. Goldston / 2009 / Primes in tuples I / Ann. of Math 170:819~862
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