Most of us are aware of the classic Gaussian Integral <msubsup> &#x222B;<!-- ∫ --> 0

Ayanna Trujillo 2022-06-14 Answered
Most of us are aware of the classic Gaussian Integral
0 e x 2 d x = π 2
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Answers (1)

Belen Bentley
Answered 2022-06-15 Author has 28 answers
As mentioned in the comments, this sum is related to one of the Jacobi theta functions.
n = 0 e n 2 = 1 2 ( 1 + n = ( 1 e ) n 2 ) = 1 2 [ 1 + ϑ 3 ( 0 , 1 e ) ] 1.386
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