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Exceptional zeros, sieve parity, Goldbach

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Publication:6044271
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DOI10.2140/ent.2022.1.13zbMath1526.11051MaRDI QIDQ6044271

Henryk Iwaniec, John B. Friedlander

Publication date: 17 May 2023

Published in: Essential Number Theory (Search for Journal in Brave)


zbMATH Keywords

primessievesalmost-primesexceptional zerosGoldbach representations


Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Distribution of primes (11N05) Sieves (11N35)




Cites Work

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  • An application of the Hardy-Littlewood conjecture
  • Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri
  • Exceptional characters and prime numbers in short intervals
  • Exceptional zeros and the Goldbach problem
  • Bounded gaps between primes
  • On the conditional bounds for Siegel zeros
  • Prime Twins and Siegel Zeros
  • On the class numbers of certain quadratic extensions
  • GOLDBACH REPRESENTATIONS IN ARITHMETIC PROGRESSIONS AND ZEROS OF DIRICHLET L ‐FUNCTIONS
  • Conditional Bounds on Siegel Zeros
  • An improvement of Selberg's sieve method I
  • THE ILLUSORY SIEVE


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