2 citations · 4 across the 17 of their papers we have counts for
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Primes in almost all short intervals
Runbo Li
The author sharpens a result of Jia (1996), showing that the interval contains prime numbers for almost all . Watt's mean value bound, a…
On the largest prime factor of quadratic polynomials
Runbo Li
Let denote a sufficiently large integer. We show that the recent result of Grimmelt and Merikoski actually yields the largest prime factor of is greater than $x^{1.317…
On Chen's theorem, Goldbach's conjecture and almost prime twins II
Runbo Li
Let denote a sufficiently large even integer and denote a sufficiently large integer, we define as the number of primes that such that has at most…
Hybrid estimation of single exponential sums, exceptional characters and primes in short intervals
Runbo Li
We provide a new hybrid estimation of single exponential sums, combining Van der Corput, Huxley and Bourgain's result. We also focus on primes in short intervals under…
A remark on the distribution of modulo one involving primes of special type II
Runbo Li
Let denote an integer with at most prime factors counted with multiplicity. In this paper we prove that for some , the inequality …
On the upper and lower bound orders of almost prime triples
Runbo Li
A Hardy-Littlewood triple is a 3-tuple of integers with the form . In this paper, we study Hardy-Littlewood triples of the form and improve the u…