Diophantine inequalities involving a prime and an almost-prime

作者：Yang, Liyang^*

来源：Journal of Number Theory, 2017, 170: 347-367.

DOI：10.1016/j.jnt.2016.05.008

• Diophantine inequalities
• Sieve method
• Almost-primes

We prove that there are infinitely many solutions of @@@ vertical bar lambda(0) + lambda(1p) + lambda P-2(3)vertical bar < p(-1/131), @@@ where lambda(0) is an arbitrary real number and lambda(1), lambda(2) is an element of R with lambda(2) not equal 0 and 0 > lambda(1)/lambda(2) not in Q. This improves a result by Harman.

• 出版日期2017-1
• 单位清华大学