Problem 45831. Compute the Bernoulli numbers

The Bernoulli numbers appear in several applications in number theory, including expressions for sums of powers and certain values of the Riemann zeta function. For each index m, the Bernoulli numbers have two values, one denoted with a plus superscript and one denoted with a minus superscript.
For m = 0, 1, 2, 3, 4, the "plus" values are B_m^+ = 1, 1/2, 1/6, 0, and -1/30, respectively. The "minus" values are the same, except for m = 1, for which the value is -1/2.
Compute the two values of the Bernoulli numbers for the given index. Round to seven places after the decimal.
Solve

Solution Stats

36.11% Correct | 63.89% Incorrect
Last Solution submitted on Feb 25, 2024

Solution Comments

Show comments

Problem Recent Solvers12

Suggested Problems

More from this Author279

Problem Tags

number theory

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!