Hilbert's Seventh Problem

1. Hilbert’s seventh problem: Its statement and origins
Robert Tubbs

2. The transcendence of e, ? and e^{sqrt 2 }

Robert Tubbs

3. Three partial solutions
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4. Gelfond’s solution
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5. Schneider’s solution
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6. Hilbert’s seventh problem and transcendental functions
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7. Variants and generalizations
Robert Tubbs

Avainsanat: Mathematics, History of Mathematical Sciences, Functional Analysis, Integral Equations, Number Theory