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Lesson 10 Keystone - Adjective Noun Math
... it's necessary that we have proofs. However, having done this, our strategy in this course will be to prove only those facts that might not seem to be obvious to us from our past experiences in mathematics. In other words, we shall continue to state as facts such things as: we may “subtract equals f ...
... it's necessary that we have proofs. However, having done this, our strategy in this course will be to prove only those facts that might not seem to be obvious to us from our past experiences in mathematics. In other words, we shall continue to state as facts such things as: we may “subtract equals f ...
Transcendental values of certain Eichler integrals,
... F2k+1 (α) − α2k F2k+1 (−1/α) is transcendental for every algebraic α ∈ H. In particular, there are at most 2k + 2 + δ algebraic numbers α ∈ H such that F2k+1 (α) and F2k+1 (−1/α) are both algebraic. The results in [25] show that the numbers i, ρ and −ρ2 are examples of such exceptional algebraic num ...
... F2k+1 (α) − α2k F2k+1 (−1/α) is transcendental for every algebraic α ∈ H. In particular, there are at most 2k + 2 + δ algebraic numbers α ∈ H such that F2k+1 (α) and F2k+1 (−1/α) are both algebraic. The results in [25] show that the numbers i, ρ and −ρ2 are examples of such exceptional algebraic num ...
