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The Ternary Goldbach Problem with a Missing Digit and Other Primes of Special Types

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Analysis at Large

Abstract

The goal of the present paper is to prove on assumption of the Generalized Riemann Hypothesis that each sufficiently large odd integer N 0 can be expressed in the form

$$\displaystyle N_0=p_1+p_2+p_3\:, $$

where p 1, p 2 are Piatetski-Shapiro primes and p 3 is a prime with a missing digit.

Dedicated to the Memory of Jean Bourgain

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Acknowledgements

M. Th. Rassias: I would like to express my gratitude to Artur Avila and Ashkan Nikeghbali for their essential support throughout the preparation of this work.

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Authors and Affiliations

  1. Department of Mathematics, University of Ulm, Ulm, Germany

    Helmut Maier

  2. Department of Mathematics and Engineering Sciences, Hellenic Military Academy, Vari Attikis, Greece

    Michael Th. Rassias

  3. Institute for Advanced Study, Program in Interdisciplinary Studies, Princeton, NJ, USA

    Michael Th. Rassias

Authors
  1. Helmut Maier
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  2. Michael Th. Rassias
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Corresponding author

Correspondence to Michael Th. Rassias .

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Editors and Affiliations

  1. Institute of Mathematics, University of Zurich, Zürich, Switzerland

    Artur Avila

  2. Department of Mathematics and Engineering Sciences, Hellenic Military Academy, Athens, Greece

    Michael Th. Rassias

  3. Department of Mathematics, Princeton University, Princeton, NJ, USA

    Yakov Sinai

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Maier, H., Rassias, M.T. (2022). The Ternary Goldbach Problem with a Missing Digit and Other Primes of Special Types. In: Avila, A., Rassias, M.T., Sinai, Y. (eds) Analysis at Large. Springer, Cham. https://doi.org/10.1007/978-3-031-05331-3_14

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