Academic literature on the topic 'Primes in short intervals'

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Journal articles on the topic "Primes in short intervals"

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LI, HONGZE. "Primes in short intervals." Mathematical Proceedings of the Cambridge Philosophical Society 122, no. 2 (1997): 193–205. http://dx.doi.org/10.1017/s0305004196001193.

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In 1982, Glyn Harman [2] proved that for almost all n, the interval [n, n+n(1/10)+ε] contains a prime number. By this we mean that the set of n[les ]N for which the interval does not contain a prime has measure o(N) as n→+∞. It follows from Huxley's work [6] that if θ>1/6 then there will almost always be asymptotically nθ(log n)−1 primes in the interval [n, n+nθ]. In 1983, Glyn Harman [3] pointed that for almost all n, the interval [n, n+n(1/12)+ε] contains a prime number, and meantime Heath-Brown gave the outline of this result in [5]. The exponent was reduced to 1/13 by Jia [10], 2/27 by
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Maier, Helmut. "Primes in short intervals." Michigan Mathematical Journal 32, no. 2 (1985): 221–25. http://dx.doi.org/10.1307/mmj/1029003189.

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Montgomery, Hugh L., and K. Soundararajan. "Primes in Short Intervals." Communications in Mathematical Physics 252, no. 1-3 (2004): 589–617. http://dx.doi.org/10.1007/s00220-004-1222-4.

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Grenié, Loïc, Giuseppe Molteni, and Alberto Perelli. "PRIMES AND PRIME IDEALS IN SHORT INTERVALS." Mathematika 63, no. 2 (2017): 364–71. http://dx.doi.org/10.1112/s0025579316000310.

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Ramaré, Olivier, and Yannick Saouter. "Short effective intervals containing primes." Journal of Number Theory 98, no. 1 (2003): 10–33. http://dx.doi.org/10.1016/s0022-314x(02)00029-x.

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Liu, H. Q. "Almost Primes in Short Intervals." Journal of Number Theory 57, no. 2 (1996): 303–22. http://dx.doi.org/10.1006/jnth.1996.0050.

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Wu, Jie. "Almost primes in short intervals." Science China Mathematics 53, no. 9 (2010): 2511–24. http://dx.doi.org/10.1007/s11425-010-4039-y.

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Hassani, Mehdi. "Portion of Primes in Short in Intervals and Landaus Inequality." Journal of Zankoy Sulaimani - Part A 22, no. 2 (2020): 345–52. http://dx.doi.org/10.17656/jzs.10834.

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Watt, N. "Short intervals almost all containing primes." Acta Arithmetica 72, no. 2 (1995): 131–67. http://dx.doi.org/10.4064/aa-72-2-131-167.

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Zaccagnini, Alessandro. "Primes in almost all short intervals." Acta Arithmetica 84, no. 3 (1998): 225–44. http://dx.doi.org/10.4064/aa-84-3-225-244.

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Dissertations / Theses on the topic "Primes in short intervals"

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Juhas, Arne [Verfasser], and Karin [Akademischer Betreuer] Halupczok. "Lower bound estimates related to primes in short intervals / Arne Juhas ; Betreuer: Karin Halupczok." Münster : Universitäts- und Landesbibliothek Münster, 2017. http://d-nb.info/1142114902/34.

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Wolczuk, Dan. "Intervals with few Prime Numbers." Thesis, University of Waterloo, 2004. http://hdl.handle.net/10012/1064.

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In this thesis we discuss some of the tools used in the study of the number of primes in short intervals. In particular, we discuss a large sieve density estimate due to Gallagher and two classical delay equations. We also show how these tools have been used by Maier and Stewart and provide computational data to their result.
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Goudout, Elie. "Étude de la fonction ω : petits intervalles et systèmes translatés". Thesis, Sorbonne Paris Cité, 2019. http://www.theses.fr/2019USPCC040.

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Dans cette thèse, on s’intéresse à l’interaction entre les structures multiplicative et additive des entiers. Pour cela, on étudie notamment la fonction « nombre de facteurs premiers distincts », notée ω, dans de très petits intervalles, mais aussi sur des systèmes translatés. Ce projet est né suite à une importante percée de Matomäki & Radziwiłł dans l’étude des petits intervalles, en 2015. Dans un premier temps, on démontre que le théorème d’Erdős-Kac est vérifié dans presque tous les petits intervalles, dès lors que leur taille tend vers l’infini. On s’intéresse ensuite aux lois locales
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Whitworth, Alison Kathryn. "Short birth intervals and infant health in India." Thesis, University of Southampton, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.364723.

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Ottman, M. J. "Influence of Nitrogen Fertilizer on Alfalfa Harvestern on Short Intervals." College of Agriculture, University of Arizona (Tucson, AZ), 1995. http://hdl.handle.net/10150/201440.

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Ye, Qing, and 叶青. "Short-term traffic speed forecasting based on data recorded at irregular intervals." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2011. http://hub.hku.hk/bib/B47250732.

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Efficient and comprehensive forecasting of information is of great importance to traffic management. Three types of forecasting methods based on irregularly spaced data—for situations when traffic detectors cannot be installed to generate regularly spaced data on all roads—are studied in this thesis, namely, the single segment forecasting method, multi-segment forecasting method and model-based forecasting method. The proposed models were tested using Global Positioning System (GPS) data from 400 Hong Kong taxis collected within a 2-kilometer section on Princess Margaret Road and Hong
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Azari, Pishkenari Leila, and Pishkenari Leila Azari. "Discrimination levels and perceived duration of intra- and intermodal short time intervals." Doctoral thesis, Université Laval, 2020. http://hdl.handle.net/20.500.11794/38117.

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Cette étude porte sur l’effet de l’intermodalité sur la discrimination de courts intervalles temporels. Chaque intervalle à discriminer est délimité par deux brefs stimuli sensoriels qui sont issus d’une même modalité sensorielle (intervalle intramodal) ou de modalités sensorielles différentes (intervalle intermodal). Une série de six expériences, chacune comprenant huit sessions expérimentales, a été réalisée. Une tâche de bissection temporelle a été utilisée dans chacune des expériences de l'étude, sur la base de laquelle on pouvait estimer, pour chaque participant dans chaque condition expé
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Morales, Dawn A. "Memory for color over brief intervals : one capacity or two? /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC IP addresses, 2003. http://wwwlib.umi.com/cr/ucsd/fullcit?p3089470.

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Hansson, Patrik. "A naïve sampling model of intuitive confidence intervals." Doctoral thesis, Umeå University, Psychology, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-1354.

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<p>A particular field in research on judgment and decision making (JDM) is concerned with realism of confidence in one’s knowledge. An interesting finding is the so-called format dependence effect, which implies that assessment of the same probability distribution generates different conclusions about over- or underconfidence depending on the assessment format. In particular, expressing a belief about some unknown continuous quantity (e.g., a stock value) in the form of an intuitive confidence interval is severely prone to overconfidence as compared to expressing the belief as an assessment of
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Wang, Zhiwei. "Les plus grands facteurs premiers d’entiers consécutifs." Thesis, Université de Lorraine, 2018. http://www.theses.fr/2018LORR0022/document.

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Dans cette thèse, on s'intéresse aux plus grands facteur premiers d'entiers consécutifs. Désignons par $P^+(n)$ (resp. $P^-(n)$) le plus grand (resp. plus petit) facteur premier d'un entier générique $n\geq 1$ avec la convention que $P^+(1)=1$ (resp. $P^-(1)=\infty$). Dans le premier chapitre, nous étudions les plus grands facteurs premiers d'entiers consécutifs dans les petits intervalles. Nous démontrons qu'il existe une proportion positive d'entiers $n$ tels que $P^+(n)P^+(n+1)$. Dans le deuxième chapitre, nous nous intéressons à la fonction $P_y^+(n)$, où $P_y^+(n)=\max\{p|n:\, p\leq y\}$
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Books on the topic "Primes in short intervals"

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Boerma, Ties. Short prospective birth intervals and child health. Netherlands Interuniversity Demographic Institute, 1985.

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Circuit techniques and integrated CMOS implementation for measuring short time intervals. Oulun Yliopisto, 1993.

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McNary, Shawn. The guitarist's scale book: Contains over 120 scales and modes plus short cuts on how to use and remember them. S. McNary, 1992.

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W, Herlinger Jan, and Prosdocimus, de Beldemandis, d. 1428., eds. Brevis summula proportionum quantum ad musicam pertinet ; and, Parvus tractatulus de modo monacordum dividendi =: A short summary of ratios insofar as they pertain to music ; and, A little treatise on the method of dividing the monochord. University of Nebraska Press, 1987.

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Johnston, Richard Malcolm. The Primes and Their Neighbors: Ten Tales of Middle Georgia (Short Story Index Reprint Series). Ayer Co Pub, 1991.

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Tülümen, Erol, and Martin Borggrefe. Monogenic and oligogenic cardiovascular diseases: genetics of arrhythmias—short QT syndrome. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780198784906.003.0150.

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Short QT syndrome (SQTS) is a very rare, sporadic or autosomal dominant inherited channelopathy characterized by abnormally short QT intervals on the electrocardiogram and increased propensity to atrial and ventricular tachyarrhythmias and/or sudden cardiac death. Since its recognition as a distinct clinical entity in 2000, significant progress has been made in defining the clinical, molecular, and genetic basis of SQTS. To date, several causative gain-of-function mutations in potassium channel genes and loss-of-function mutations in calcium channel genes have been identified. The physiologica
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Gelman, Andrew, and Deborah Nolan. Statistical inference. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198785699.003.0009.

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This chapter begins with a very successful demonstration that illustrates many of the general principles of statistical inference, including estimation, bias, and the concept of the sampling distribution. Students each take a “random” sample of different size candies, weigh them, and estimate the total weight of all candies. Then various demonstrations and examples are presented that take the students on the transition from probability to hypothesis testing, confidence intervals, and more advanced concepts such as statistical power and multiple comparisons. These activities include use an infl
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Kawahara, Shigeto, and Melanie Pangilinan. Spectral continuity, amplitude changes, and perception of length contrasts. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198754930.003.0002.

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Japanese displays a singleton/geminate contrast in obstruents and nasals, but not in glides. Patterns of emphatic gemination show that Japanese avoids creating new nasal geminates. This chapter tests hypotheses about why Japanese shows these preferences. Concerning the distinction between obstruent geminates and sonorant geminates, dispreference of sonorant geminates may exist because these geminates are easily confused with corresponding singletons. This confusability problem arises because sonorants are spectrally continuous with flanking vowels, and consequently perception of their constric
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James, Edward. An Introduction to Lois MCmaster Bujold. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252039324.003.0001.

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This chapter sketches the life and career of Lois McMaster Bujold. Lois McMaster was born in Columbus, Ohio, on November 2, 1949, the third child and only daughter of Robert Charles McMaster and Laura Gerould McMaster. She began reading science fiction when she was nine years old. Her favorite writers in the field included Poul Anderson and James H. Schmitz. In 1971, she married John Bujold, whom she had met at a science fiction convention two years earlier. Bujold's first professional sale was a short story, “Barter,” which was published in Twilight Zone Magazine in spring 1985. It was later
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Book chapters on the topic "Primes in short intervals"

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Goldston, Daniel A., and Hugh L. Montgomery. "Pair Correlation of Zeros and Primes in Short Intervals." In Analytic Number Theory and Diophantine Problems. Birkhäuser Boston, 1987. http://dx.doi.org/10.1007/978-1-4612-4816-3_10.

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Jia, Chaohua. "Three Primes Theorem in a Short Interval (II)." In International Symposium in Memory of Hua Loo Keng. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-07981-2_6.

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Karatsuba, Anatolij A., and Melvyn B. Nathanson. "The Density of the Zeros of the Zeta Function and the Problem of the Distribution of Prime Numbers in Short Intervals." In Basic Analytic Number Theory. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58018-5_7.

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Jia, Chaohua. "The Largest Prime Factor of Integers in the Short Interval." In Analytic Number Theory. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-3621-2_13.

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Freiberg, Tristan. "A Note on the Distribution of Primes in Intervals." In Irregularities in the Distribution of Prime Numbers. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-92777-0_2.

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Ng, Nathan. "The Möbius function in short intervals." In CRM Proceedings and Lecture Notes. American Mathematical Society, 2008. http://dx.doi.org/10.1090/crmp/046/19.

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Maynard, James. "Sums of Two Squares in Short Intervals." In Analytic Number Theory. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22240-0_15.

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Sun, Hung-Min, Mu-En Wu, Ron Steinfeld, Jian Guo, and Huaxiong Wang. "Cryptanalysis of Short Exponent RSA with Primes Sharing Least Significant Bits." In Cryptology and Network Security. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-89641-8_4.

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Luo, Wenzhi. "Lower Bound for Number of B-Twins in Short Intervals." In International Symposium in Memory of Hua Loo Keng. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-07981-2_10.

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Barabanov, Andrey, Alexandr Melnikov, Valentin Magerkin, and Evgenij Vikulov. "Fast Algorithm for Precise Estimation of Fundamental Frequency on Short Time Intervals." In Speech and Computer. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23132-7_27.

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Conference papers on the topic "Primes in short intervals"

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KUMCHEV, ANGEL V. "ON WEYL SUMS OVER PRIMES IN SHORT INTERVALS." In Proceedings of the 6th China–Japan Seminar. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814452458_0007.

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Willett, Fred T. "A Method for Evaluating Market Value of Turbine Gaspath Component Alternatives." In 2002 International Joint Power Generation Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/ijpgc2002-26118.

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An economic model was developed to evaluate gas turbine component alternatives for base load combined cycle operation, cyclic duty simple cycle operation, and peaking duty simple cycle operation. Power plant operator value of alternative replacement first stage buckets for a GE Frame 7EA gas turbine is evaluated. The popularity and large installed base of the 7EA has prompted a number of replacement part offerings, in addition to the replacement parts offered by the OEM. A baseline case is established to represent the current bucket repair and replacement situation. Each of the modes of power
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Fujii, Tomoharu, and Terutaka Fujioka. "Development of Gas Turbine Hot Gas Path Parts Maintenance Planning Support System." In ASME Turbo Expo 2008: Power for Land, Sea, and Air. ASMEDC, 2008. http://dx.doi.org/10.1115/gt2008-50249.

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Since the hot gas path parts such as combustors, blades, and vanes are subject to extremely severe working conditions, the parts must be inspected and repaired at relatively short intervals. Therefore, it is essential to reduce the maintenance costs for economic reasons. Furthermore, since the hot gas path parts have cooling structures with advanced design and coated with various types of coatings, the prices of parts are usually very high. Therefore, using the parts efficiently and extending the service life of the parts are needed to significantly reduce the maintenance costs. In such a situ
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Negoescu, Porges, Goddard, Richardson, and Carlton. "Short Term Oscillations In Systolic Time Intervals." In Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 1992. http://dx.doi.org/10.1109/iembs.1992.595682.

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Negoescu, R. M., S. W. Porges, P. Goddard, D. C. Richardson, and Barbara Carlton. "Short term oscillations in systolic time intervals." In 1992 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 1992. http://dx.doi.org/10.1109/iembs.1992.5761082.

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Wang, Suqin, and Cuiling Jia. "Prediction Intervals for Short-Term Photovoltaic Generation Forecasts." In 2015 Fifth International Conference on Instrumentation & Measurement, Computer, Communication and Control (IMCCC). IEEE, 2015. http://dx.doi.org/10.1109/imccc.2015.103.

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Boneh, Dan. "Finding smooth integers in short intervals using CRT decoding." In the thirty-second annual ACM symposium. ACM Press, 2000. http://dx.doi.org/10.1145/335305.335337.

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Scolari, E., D. Torregrossa, J. Y. Le Boudec, and M. Paolone. "Ultra-short-term prediction intervals of photovoltaic AC active power." In 2016 International Conference on Probabilistic Methods Applied to Power Systems (PMAPS). IEEE, 2016. http://dx.doi.org/10.1109/pmaps.2016.7764064.

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MATOMÄKI, KAISA, and MAKSYM RADZIWIŁŁ. "MULTIPLICATIVE FUNCTIONS IN SHORT INTERVALS, AND CORRELATIONS OF MULTIPLICATIVE FUNCTIONS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0056.

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Moulin, Luciano S., and Alexandre P. Alves da Silva. "Neural Network Based Short-Term Electric Load Forecasting with Confidence Intervals." In 4. Congresso Brasileiro de Redes Neurais. CNRN, 2016. http://dx.doi.org/10.21528/cbrn1999-002.

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