inclusive 发表于 2025-3-25 06:21:13
Arithmetic Functions IBesides the notions of additive and multiplicative functions, and examples thereof, there is the Fermat–Euler theorem, and a description of the decimal system. Other topics include Dirichlet convolutions, additive characters, Gauss sum and Ramanujan sum.MONY 发表于 2025-3-25 07:43:07
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Primitive RootsProofs of the existence of primitive roots modulo a prime, and the primitive-roots theorem are given. After the proof of Korselt’s theorem there is a description of how to find Carmichael numbers. The key-exchange protocols in cryptography is explained with an application of the discrete logarithm.Anticlimax 发表于 2025-3-25 18:37:45
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Prime Number TheoremFollowing a brief sketch of the prime number theorem, the proof is given along the lines of Newman’s simplified proof of the Ikehara–Wiener tauberian theorem. There are discussions on the error-term of the prime number theorem, the zero-free region of the zeta-function, the Riemann hypothesis, and the problem of prime gaps.打火石 发表于 2025-3-26 03:30:23
urvey. HyspIRI will fly two instruments: a hyperspectral visible to short wave infrared imaging spectrometer, and a multispectral thermal infrared (TIR) imager. In this study we discuss the expected performance and use of the TIR instrument. The TIR instrument will have eight spectral channels, sevearthrodesis 发表于 2025-3-26 07:49:00
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Peter Shiuurvey. HyspIRI will fly two instruments: a hyperspectral visible to short wave infrared imaging spectrometer, and a multispectral thermal infrared (TIR) imager. In this study we discuss the expected performance and use of the TIR instrument. The TIR instrument will have eight spectral channels, seve高原 发表于 2025-3-26 15:21:49
Basicsm, the Chinese remainder theorem, and the fundamental theorem of arithmetic. There are also the theorems of Lagrange, Dirichlet, Thue, and Aubry, and an explanation on how . (mod .) can be evaluated efficiently.温和女孩 发表于 2025-3-26 19:41:22
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