Moments of zeta and correlations of divisor-sums: V
In this series of papers we examine the calculation of the 2kth moment and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor correlations. The present paper completes the general study of what we call Type II sums which utilize a circle me...
| প্রধান লেখক: | , |
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| বিন্যাস: | Journal article |
| প্রকাশিত: |
London Mathematical Society
2018
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| সংক্ষিপ্ত: | In this series of papers we examine the calculation of the 2kth moment and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor correlations. The present paper completes the general study of what we call Type II sums which utilize a circle method framework and a convolution of shifted convolution sums to obtain all of the lower order terms in the asymptotic formula for the mean square along [T, 2T] of a Dirichlet polynomial of arbitrary length with divisor functions as coefficients. |
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