Is the Euler–Mascheroni constant an algebraic number or a transcendental number?

Is the Euler–Mascheroni constant (\gamma ) an algebraic number or a transcendental number?

Valid Assumption (Convergence): 1.  \gamma = \frac{\sqrt{z^{2} - 1}}{2}.

Remark: We tentatively assume z is an algebraic number (rational number) where 1.52 < z < 1.53 .

We can apply Newton’s Method to equation one and study its convergence with regards to \gamma .

Warning: This may be a difficult problem…

Dave.

Relevant Reference Links:

Mascheroni_constant;

Newton’s_Method;

Is the Euler–Mascheroni constant an algebraic number?

Published by Dave

"May all beings be happy and peaceful. Thank you, Lord GOD! Praise you, Lord GOD! Love you, Lord GOD! Trust you, Lord GOD! Bless you, Lord GOD! Amen!" 😂 P.S. Go Blue! 👍 ✌

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