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most citedVariance of sums in arithmetic progressions of arithmetic functions associated with higher degree -functions in

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math.NT2020

Sums of singular series and primes in short intervals in algebraic number fields

Vivian Kuperberg, Brad Rodgers, Edva Roditty-Gershon

Gross and Smith have put forward generalizations of Hardy - Littlewood twin prime conjectures for algebraic number fields. We estimate the behavior of sums of a singular series tha…