On the symmetry of square-free supported arithmetical functions in short intervals.
On the Selberg Integral of the -divisor Function and the -th Moment of the Riemann Zeta-function
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.
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