A note on Selberg sieve
Iwaniec's bilinear form of the error term in the Selberg sieve
On the distribution in the arithmetic progressions of reducible quadratic polynomials in short intervals, II
This paper gives further results about the distribution in the arithmetic progressions (modulo a product of two primes) of reducible quadratic polynomials in short intervals , where now . Here we use the Dispersion Method instead of the Large Sieve to get results beyond the classical level , reaching (thus improving also the level of the previous paper, i.e. ), but our new results are different in structure. Then, we make a graphical comparison of the two methods.
On the comparative theory of primes
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