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On Gelfond's conjecture about the sum of digits of prime numbers

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Publication:1032651
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DOI10.5802/jtnb.678zbMath1226.11016OpenAlexW2314751904WikidataQ123010066 ScholiaQ123010066MaRDI QIDQ1032651

Joël Rivat

Publication date: 26 October 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10888



Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Radix representation; digital problems (11A63) Distribution of primes (11N05) Rate of growth of arithmetic functions (11N56)




Cites Work

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  • On a problem of Gelfond: the sum of digits of prime numbers
  • The polynomial \(X^2+Y^4\) captures its primes
  • Asymptotic sieve for primes
  • Sums of digits and almost primes
  • Méthodes de crible et fonctions sommes des chiffres
  • Sur les nombres premiers ayant des chiffres initiaux et finals donnés
  • Primes with preassigned digits
  • An elementary method in prime number theory
  • Prime Numbers in Short Intervals and a Generalized Vaughan Identity
  • Primes with preassigned digits
  • Sur les nombres qui ont des propriétés additives et multiplicatives données
  • Primes represented by \(x^3+ 2y^3\)


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