Modern Arithmetic
- Riemann zeta function
- L-functions
- Multiplicative functions
- Modular forms
Read more about this topic: Outline Of Arithmetic
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“So all that is said of the wise man by Stoic or Oriental or modern essayist, describes to each reader his own idea, describes his unattained but attainable self.”
—Ralph Waldo Emerson (1803–1882)
“I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”
—Gottlob Frege (1848–1925)