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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Euler’s constant to $1271$ places
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by Donald E. Knuth PDF
Math. Comp. 16 (1962), 275-281 Request permission

Abstract:

The value of Euler’s or Mascheroni’s constant \[ \gamma = \underset {n\to \infty }{\lim } (1 + \tfrac {1}{2} + \cdots + ({1}/{n}) - \ln n)\] has now been determined to 1271 decimal places, thus extending the previously known value of 328 places. A calculation of partial quotients and best rational approximations to $\gamma$ was also made.
References
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Additional Information
  • © Copyright 1962 American Mathematical Society
  • Journal: Math. Comp. 16 (1962), 275-281
  • MSC: Primary 10.41
  • DOI: https://doi.org/10.1090/S0025-5718-1962-0148255-X
  • MathSciNet review: 0148255