Sums of divisor functions in $$\mathbb {F}_q[t]$$ F q [ t ] and matrix integrals
نویسندگان
چکیده
منابع مشابه
Sums of divisor functions in and matrix integrals
We study the mean square of sums of the kth divisor function dk(n) over short intervals and arithmetic progressions for the rational function field over a finite field of q elements. In the limit as q → ∞ we establish a relationship with a matrix integral over the unitary group. Evaluating this integral enables us to compute the mean square of the sums of dk(n) in terms of a lattice point count...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2017
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-017-1884-1