THE AVERAGE VALUE OF DIVISOR SUMS IN ARITHMETIC PROGRESSIONS |
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Authors: | Blomer V |
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Institution: | Department of Mathematics, University of Toronto, 40 St George Street, Toronto, Ontario, Canada M5S 2E4 |
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Abstract: | Let (n) denote the Fourier coefficients of cusp forms or thenumber of divisors of n. Estimates of the type
are shown, uniformly in q X. The methods canbe extended to other arithmetic functions, for example, thenumber of representations of n as a sum of two squares or k-freenumbers. As an application, sums of the type n X (n) (n) forany q-periodic function can be estimated non-trivially. |
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