Results 11 to 20 of about 120,275 (213)
Harmonic sets and the harmonic prime number theorem [PDF]
Bulletin of the Australian Mathematical Society, 2005 We restrict primes and prime powers to sets . Let . Then the error in θH(x) has, unconditionally, the expected order of magnitude . However, if then ψH (x) = x log 2 + O (log x). Some reasons for and consequences of these sharp results are explored. A proof is given of the “harmonic prime number theorem”, πH (x)/π (x) → log 2.
Broughan, Kevin A., Casey, Rory J.
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Median Bernoulli Numbers and Ramanujan’s Harmonic Number Expansion [PDF]
Mathematics, 2022 Ramanujan-type harmonic number expansion was given by many authors. Some of the most well-known are: Hn∼γ+logn−∑k=1∞Bkk·nk, where Bk is the Bernoulli numbers.
Kwang-Wu Chen
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On the Ramanujan–Lodge harmonic number expansion [PDF]
Applied Mathematics and Computation, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristinel Mortici, Mark B. Villarino
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Harmonic number identities via polynomials with r-Lah coefficients [PDF]
Comptes Rendus. Mathématique, 2020 In this paper, polynomials whose coefficients involve $r$-Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers.
Kargın, Levent, Can, Mümün
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ON THE CONVERGENCE OF THE EULER HARMONIC SERIES [PDF]
, 2000 The aim oj this article is to study the convergence oj the Euler harmonic series. Firstly, the results concerning the convergence oj the Smaralldache and Erdos harmonic junctions are reviewed Secondly, the Euler harmonic series is proved to be convergent
Tabirca, Tatiana, Tabirca, Sabin
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Spatiotemporal phase-matching in capillary high-harmonic generation [PDF]
, 2012 We present a simple phase-matching model that takes into account the full spatiotemporal nature of capillary high-harmonic generation. Spectra predicted from the model are compared to experimental results for a number of gases and are shown to reproduce ...
Rogers, Edward T.F. +22 more
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Non-Uniform Time Sampling for Multiple-Frequency Harmonic Balance Computations [PDF]
, 2013 A time-domain harmonic balance method for the analysis of almost-periodic (multi-harmonics) flows is presented. This method relies on Fourier analysis to derive an efficient alternative to classical time marching schemes for such flows.
Dufour, Guillaume +5 more
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New 5-Phase Concentrated Winding Machine with Bi-Harmonic Rotor for Automotive Application [PDF]
, 2014 For a power range from 10 to 30 kW, 5-phase machines are well adapted to low-voltage (48V) supply thanks to their reduced current per phase. For three-phase machines but with higher voltages (>120V), machines with a number of slots per pole and per phase
B. Aslan +3 more
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Harmonic numbers and finite groups [PDF]
Rendiconti del Seminario Matematico della Università di Padova, 2014 Given a finite group G , let {\tau} (G) be the number of normal subgroups of G ...
Baishya, Sekhar Jyoti, Das, Ashish Kumar
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Harmonic measures for distributions with finite support on the mapping class group are singular [PDF]
, 2014 Kaimanovich and Masur showed that a random walk on the mapping class group for an initial distribution whose support generates a nonelementary subgroup when projected into Teichmüller space converges almost surely to a point in the space PMF of ...
Gadre, Vaibhav
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