Titlebook: Number Theory with Computations; Peter Shiu Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to Spri

inclusive

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

intention

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

avulsion

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

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, seve

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砍伐

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

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.

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