全ての素数の積が偶数なのが納得がいかない数学徒たちAbstract We generalize the classical definition of zeta-regularization of an infinite product. The extension enjoys the same properties as the classical definition, and yields new infinite products. With this generalization we compute the product over all prime numbers answering a question of Ch. Soulé. The result is 4π2. This gives a new analytic proof, companion to Euler’s classical proof, that
全ての素数の積が奇数であることの証明(？)が出現
全ての素数の積が偶数なのが納得がいかない人たち
