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The sum of digits of Gaussian primes

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Publication:662897
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DOI10.1007/s11139-010-9289-3zbMath1243.11007OpenAlexW2051596298MaRDI QIDQ662897

Johannes F. Morgenbesser

Publication date: 13 February 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-010-9289-3


zbMATH Keywords

Fourier analysisExponential sumsGaussian primesBeurling-Selberg functionSum-of-digits function


Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Sums over primes (11L20) Trigonometric polynomials, inequalities, extremal problems (42A05) Distribution functions associated with additive and positive multiplicative functions (11N60)


Related Items

The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields



Cites Work

  • Unnamed Item
  • The sum of digits of squares
  • Sequences, discrepancies and applications
  • On a problem of Gelfond: the sum of digits of prime numbers
  • The sum of digits of squares in \(\mathbb Z[i\)]
  • The sum of digits of primes in \(\mathbb Z[i\)]
  • Asymptotic normality of \(b\)-additive functions on polynomial sequences in the Gaussian number field
  • Some extremal functions in Fourier analysis
  • The Sum-of-Digits Function for Complex Bases
  • Sur les nombres qui ont des propriétés additives et multiplicatives données
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