pith. sign in

S. M. Abrarov

Identifiers

  • name variant S. M. Abrarov 0.60 · backfill

Papers (35)

  1. A sampling-based approximation of the complex error function and its implementation without poles math.NA · 2018 · author #1
  2. Efficient computation of pi by the Newton - Raphson iteration and a two-term Machin-like formula math.GM · 2017 · author #1
  3. An iteration procedure for a two-term Machin-like formula for pi with small Lehmer's measure math.GM · 2017 · author #1
  4. The two-term Machin-like formula for pi with small arguments of the arctangent function math.GM · 2017 · author #1
  5. A set of the Vi\`ete-like recurrence relations for the unity constant math.GM · 2017 · author #1
  6. A reformulated series expansion of the arctangent function math.GM · 2017 · author #1
  7. A formula for pi involving nested radicals math.GM · 2016 · author #1
  8. An alternative representation of the Vi\`ete's formula for pi by Chebyshev polynomials of the first kind math.NT · 2016 · author #1
  9. The Fourier expansion approximation for high-accuracy computation of the Voigt/complex error function at small imaginary argument math.NA · 2016 · author #1
  10. A simple identity for derivatives of the arctangent function math.GM · 2016 · author #1
  11. Identities for the arctangent function by enhanced midpoint integration and the high-accuracy computation of pi math.GM · 2016 · author #1
  12. A rational approximation of the arctangent function and a new approach in computing pi math.GM · 2016 · author #1
  13. A new asymptotic expansion series for the constant pi math.GM · 2016 · author #1
  14. A rational approximation of the Dawson's integral for efficient computation of the complex error function math.NA · 2016 · author #1
  15. A new application methodology of the Fourier transform for rational approximation of the complex error function math.GM · 2015 · author #1
  16. Representation of the Fourier transform as a weighted sum of the complex error functions math.GM · 2015 · author #1
  17. A rational approximation for the Dawson's integral of real argument math.NA · 2015 · author #1
  18. A rational approximation for efficient computation of the Voigt function in quantitative spectroscopy physics.data-an · 2015 · author #1
  19. Accurate approximations for the complex error function with small imaginary argument math.NA · 2014 · author #1
  20. Sampling by incomplete cosine expansion of the sinc function: application to the Voigt/complex error function math.NA · 2014 · author #1
  21. A rapid and highly accurate approximation for the error function of complex argument math.NA · 2013 · author #1
  22. Efficient application of the Chiarella and Reichel series approximation of the complex error function math.GM · 2012 · author #1
  23. On the Fourier expansion method for highly accurate computation of the Voigt/complex error function in a rapid algorithm math.NA · 2012 · author #1
  24. On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function math.CA · 2012 · author #1
  25. Properties and applications of the prime detecting function: infinitude of twin primes, asymptotic law of distribution of prime pairs differing by an even number math.GM · 2011 · author #2
  26. Sieve Procedure for the M\"obius prime-functions, the Infinitude of Primes and the Prime Number Theorem math.GM · 2010 · author #2
  27. Probabilistic interpretation of the M\"obius function identity and the Riemann Hypothesis math.GM · 2010 · author #2
  28. Formulas for Positive, Negative and Zero Values of the M\"obius Function math.NT · 2009 · author #2
  29. Riemann Hypothesis may be proved by induction math.GM · 2008 · author #2
  30. On the properties of generalized harmonic and oscillatory numbers. Simple proof of the Prime Number Theorem math.NT · 2007 · author #2
  31. Broadening of band-gap in photonic crystals with optically saturated media physics.optics · 2007 · author #1
  32. Identities for number series and their reciprocals: Dirac delta function approach math.GM · 2007 · author #1
  33. Equations for filling factor estimation in opal matrix physics.optics · 2005 · author #1
  34. Deep level emission of ZnO nanoparticles deposited inside UV opal physics.optics · 2005 · author #1
  35. Regular and oscillatory parts for basic functions of prime numbers. I Regular parts math.NT · 2005 · author #2

Mentions

  • 1511.00774 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1802.06077 #1 · arxiv_oai · confidence 0.70 S. M. Abrarov
  • 1606.07871 #1 · arxiv_oai · confidence 0.70 S. M. Abrarov
  • 1604.03752 #1 · arxiv_oai · confidence 0.70 S. M. Abrarov
  • 1601.01261 #1 · arxiv_oai · confidence 0.70 S. M. Abrarov
  • 1505.04683 #1 · arxiv_oai · confidence 0.70 S. M. Abrarov
  • 1411.1024 #1 · arxiv_oai · confidence 0.70 S. M. Abrarov
  • 1407.0533 #1 · arxiv_oai · confidence 0.70 S. M. Abrarov
  • 1308.3399 #1 · arxiv_oai · confidence 0.70 S. M. Abrarov
  • 1507.01241 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1505.04683 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1504.00322 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1411.1024 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1407.0533 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1308.3399 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1208.2062 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1205.1768 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1202.5457 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 1109.6557 #2 · backfill · confidence 0.70 S. M. Abrarov
  • 1004.1563 #2 · backfill · confidence 0.70 S. M. Abrarov
  • 1002.1682 #2 · backfill · confidence 0.70 S. M. Abrarov
  • 0905.0294 #2 · backfill · confidence 0.70 S. M. Abrarov
  • 0802.1764 #2 · backfill · confidence 0.70 S. M. Abrarov
  • 0709.3145 #2 · backfill · confidence 0.70 S. M. Abrarov
  • 0708.4043 #1 · backfill · confidence 0.70 S. M. Abrarov
  • 0704.1936 #1 · backfill · confidence 0.70 S. M. Abrarov

Frequent Coauthors