Landau's problems (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Landau's problems" in English language version.

refsWebsite

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16arxiv.org

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15doi.org

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6semanticscholar.org

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3harvard.edu

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2mtak.hu

low place

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2nih.gov

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1icm.edu.pl

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1princeton.edu

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1ams.org

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1projecteuclid.org

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1lynchburg.edu

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1ieee.org

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1stanford.edu

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1eudml.org

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1jstor.org

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ams.org

mathscinet.ams.org

D.H.J. Polymath (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical Sciences. 1 (12): 12. arXiv:1407.4897. doi:10.1186/s40687-014-0012-7. MR 3373710. S2CID 119699189.

arxiv.org

Helfgott, H.A. (2013). "Major arcs for Goldbach's theorem". arXiv:1305.2897 [math.NT].
Helfgott, H.A. (2012). "Minor arcs for Goldbach's problem". arXiv:1205.5252 [math.NT].
Helfgott, H.A. (2013). "The ternary Goldbach conjecture is true". arXiv:1312.7748 [math.NT].
Matteo Bordignon, Daniel R. Johnston, and Valeriia Starichkova, An explicit version of Chen's theorem
Yamada, Tomohiro (2015-11-11). "Explicit Chen's theorem". arXiv:1511.03409 [math.NT].
Matteo Bordignon, Valeriia Starichkova, An explicit version of Chen's theorem assuming the Generalized Riemann Hypothesis
Daniel R. Johnston and Valeriia V. Starichkova, Some explicit results on the sum of a prime and an almost prime (2023)
Janos Pintz, A new explicit formula in the additive theory of primes with applications II. The exceptional set in Goldbach's problem, 2018 preprint
D.H.J. Polymath (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical Sciences. 1 (12): 12. arXiv:1407.4897. doi:10.1186/s40687-014-0012-7. MR 3373710. S2CID 119699189.
J. Maynard (2015), Small gaps between primes. Annals of Mathematics 181(1): 383-413.
Alan Goldston, Daniel; Motohashi, Yoichi; Pintz, János; Yalçın Yıldırım, Cem (2006). "Small Gaps between Primes Exist". Proceedings of the Japan Academy, Series A. 82 (4): 61–65. arXiv:math/0505300. doi:10.3792/pjaa.82.61. S2CID 18847478.
Olli Järviniemi, On large differences between consecutive primes, arXiv preprint (2022). arXiv:2212.10965 [math.NT]
Heath-Brown, Roger (October 2020). "The Differences Between Consecutive Primes, V". International Mathematics Research Notices. 2021 (22): 17514–17562. arXiv:1906.09555. doi:10.1093/imrn/rnz295.
Merikoski, Jori (2022). "Largest prime factor of $n^{2}+1$ ". Journal of the European Mathematical Society. 25 (4): 1253–1284. arXiv:1908.08816. doi:10.4171/JEMS/1216.
de la Bretèche, Régis; Drappeau, Sary (2020), "Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables", Journal of the European Mathematical Society, 22 (5): 1577–1624, arXiv:1703.03197, doi:10.4171/JEMS/951, S2CID 146808221
Stephan Baier and Liangyi Zhao, Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli, Acta Arith., Vol. 125, No. 2, 2006, pp. 187-201. arXiv:math/0602116 [math.NT]

doi.org

Montgomery, H. L.; Vaughan, R. C. (1975). "The exceptional set in Goldbach's problem" (PDF). Acta Arithmetica. 27: 353–370. doi:10.4064/aa-27-1-353-370.
Pintz, J.; Ruzsa, I. Z. (July 2020). "On Linnik's approximation to Goldbach's problem. II" (PDF). Acta Mathematica Hungarica. 161 (2): 569–582. doi:10.1007/s10474-020-01077-8. S2CID 225457520.
D.H.J. Polymath (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical Sciences. 1 (12): 12. arXiv:1407.4897. doi:10.1186/s40687-014-0012-7. MR 3373710. S2CID 119699189.
Alan Goldston, Daniel; Motohashi, Yoichi; Pintz, János; Yalçın Yıldırım, Cem (2006). "Small Gaps between Primes Exist". Proceedings of the Japan Academy, Series A. 82 (4): 61–65. arXiv:math/0505300. doi:10.3792/pjaa.82.61. S2CID 18847478.
Heath-Brown, Roger (October 2020). "The Differences Between Consecutive Primes, V". International Mathematics Research Notices. 2021 (22): 17514–17562. arXiv:1906.09555. doi:10.1093/imrn/rnz295.
Kaisa Matomäki (2007). "Large differences between consecutive primes". Quarterly Journal of Mathematics. 58 (4): 489–518. doi:10.1093/qmath/ham021..
Ingham, A. E. (1937). "On the difference between consecutive primes". Quarterly Journal of Mathematics. 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255.
Iwaniec, H. (1978). "Almost-primes represented by quadratic polynomials". Inventiones Mathematicae. 47 (2): 178–188. Bibcode:1978InMat..47..171I. doi:10.1007/BF01578070. S2CID 122656097.
Robert J. Lemke Oliver (2012). "Almost-primes represented by quadratic polynomials" (PDF). Acta Arithmetica. 151 (3): 241–261. doi:10.4064/aa151-3-2..
Harman, G.; Lewis, P. (2001). "Gaussian primes in narrow sectors". Mathematika. 48 (1–2): 119–135. doi:10.1112/S0025579300014388. S2CID 119730332.
Merikoski, Jori (2022). "Largest prime factor of $n^{2}+1$ ". Journal of the European Mathematical Society. 25 (4): 1253–1284. arXiv:1908.08816. doi:10.4171/JEMS/1216.
de la Bretèche, Régis; Drappeau, Sary (2020), "Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables", Journal of the European Mathematical Society, 22 (5): 1577–1624, arXiv:1703.03197, doi:10.4171/JEMS/951, S2CID 146808221
Hooley, Christopher (July 1967). "On the greatest prime factor of a quadratic polynomial". Acta Mathematica. 117: 281–299. doi:10.1007/BF02395047.
J. Todd (1949), "A problem on arc tangent relations", American Mathematical Monthly, 56 (8): 517–528, doi:10.2307/2305526, JSTOR 2305526
Friedlander, John; Iwaniec, Henryk (1997), "Using a parity-sensitive sieve to count prime values of a polynomial", PNAS, 94 (4): 1054–1058, Bibcode:1997PNAS...94.1054F, doi:10.1073/pnas.94.4.1054, PMC 19742, PMID 11038598.

eudml.org

Jean-Marc Deshouillers and Henryk Iwaniec, On the greatest prime factor of $n^{2}+1$ , Annales de l'Institut Fourier 32:4 (1982), pp. 1–11.

harvard.edu

ui.adsabs.harvard.edu

Ingham, A. E. (1937). "On the difference between consecutive primes". Quarterly Journal of Mathematics. 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255.
Iwaniec, H. (1978). "Almost-primes represented by quadratic polynomials". Inventiones Mathematicae. 47 (2): 178–188. Bibcode:1978InMat..47..171I. doi:10.1007/BF01578070. S2CID 122656097.
Friedlander, John; Iwaniec, Henryk (1997), "Using a parity-sensitive sieve to count prime values of a polynomial", PNAS, 94 (4): 1054–1058, Bibcode:1997PNAS...94.1054F, doi:10.1073/pnas.94.4.1054, PMC 19742, PMID 11038598.

icm.edu.pl

matwbn.icm.edu.pl

Montgomery, H. L.; Vaughan, R. C. (1975). "The exceptional set in Goldbach's problem" (PDF). Acta Arithmetica. 27: 353–370. doi:10.4064/aa-27-1-353-370.

ieee.org

ieeexplore.ieee.org

Heath-Brown, Roger (October 2020). "The Differences Between Consecutive Primes, V". International Mathematics Research Notices. 2021 (22): 17514–17562. arXiv:1906.09555. doi:10.1093/imrn/rnz295.

jstor.org

J. Todd (1949), "A problem on arc tangent relations", American Mathematical Monthly, 56 (8): 517–528, doi:10.2307/2305526, JSTOR 2305526

lynchburg.edu

faculty.lynchburg.edu

Dr. Thomas R. Nicely, First occurrence prime gaps

mtak.hu

real.mtak.hu

http://real.mtak.hu/124681/1/Cikk2020Rivista.pdf
Pintz, J.; Ruzsa, I. Z. (July 2020). "On Linnik's approximation to Goldbach's problem. II" (PDF). Acta Mathematica Hungarica. 161 (2): 569–582. doi:10.1007/s10474-020-01077-8. S2CID 225457520.

nih.gov

ncbi.nlm.nih.gov

Friedlander, John; Iwaniec, Henryk (1997), "Using a parity-sensitive sieve to count prime values of a polynomial", PNAS, 94 (4): 1054–1058, Bibcode:1997PNAS...94.1054F, doi:10.1073/pnas.94.4.1054, PMC 19742, PMID 11038598.

pubmed.ncbi.nlm.nih.gov

Friedlander, John; Iwaniec, Henryk (1997), "Using a parity-sensitive sieve to count prime values of a polynomial", PNAS, 94 (4): 1054–1058, Bibcode:1997PNAS...94.1054F, doi:10.1073/pnas.94.4.1054, PMC 19742, PMID 11038598.

princeton.edu

annals.math.princeton.edu

Yitang Zhang, Bounded gaps between primes, Annals of Mathematics 179 (2014), pp. 1121–1174 from Volume 179 (2014), Issue 3

projecteuclid.org

Alan Goldston, Daniel; Motohashi, Yoichi; Pintz, János; Yalçın Yıldırım, Cem (2006). "Small Gaps between Primes Exist". Proceedings of the Japan Academy, Series A. 82 (4): 61–65. arXiv:math/0505300. doi:10.3792/pjaa.82.61. S2CID 18847478.

semanticscholar.org

api.semanticscholar.org

Pintz, J.; Ruzsa, I. Z. (July 2020). "On Linnik's approximation to Goldbach's problem. II" (PDF). Acta Mathematica Hungarica. 161 (2): 569–582. doi:10.1007/s10474-020-01077-8. S2CID 225457520.
D.H.J. Polymath (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical Sciences. 1 (12): 12. arXiv:1407.4897. doi:10.1186/s40687-014-0012-7. MR 3373710. S2CID 119699189.
Alan Goldston, Daniel; Motohashi, Yoichi; Pintz, János; Yalçın Yıldırım, Cem (2006). "Small Gaps between Primes Exist". Proceedings of the Japan Academy, Series A. 82 (4): 61–65. arXiv:math/0505300. doi:10.3792/pjaa.82.61. S2CID 18847478.
Iwaniec, H. (1978). "Almost-primes represented by quadratic polynomials". Inventiones Mathematicae. 47 (2): 178–188. Bibcode:1978InMat..47..171I. doi:10.1007/BF01578070. S2CID 122656097.
Harman, G.; Lewis, P. (2001). "Gaussian primes in narrow sectors". Mathematika. 48 (1–2): 119–135. doi:10.1112/S0025579300014388. S2CID 119730332.
de la Bretèche, Régis; Drappeau, Sary (2020), "Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables", Journal of the European Mathematical Society, 22 (5): 1577–1624, arXiv:1703.03197, doi:10.4171/JEMS/951, S2CID 146808221

stanford.edu

Robert J. Lemke Oliver (2012). "Almost-primes represented by quadratic polynomials" (PDF). Acta Arithmetica. 151 (3): 241–261. doi:10.4064/aa151-3-2..