| viXra.org > Functions and Analysis > 2401 |
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| viXra.org > Functions and Analysis > 2401 |
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[2] viXra:2401.0149 [pdf] submitted on 2024-01-31 21:17:59
Authors: Ayoub Zaroual
Comments: 36 Pages. In French
This paper proves that the Reimann zeta function on the complexe plane is a spiral, it shows the equation of the spiral and provide an analytic continuation of the Reimann zeta function. It also proves that the Reimann hypothesis is true based on some conditions.
Category: Functions and Analysis
[1] viXra:2401.0010 [pdf] replaced on 2026-01-01 00:42:27
Authors: Teo Banica
Comments: 400 Pages.
This is an introduction to calculus, and its applications to basic questions from physics. We first discuss the theory of functions $f:mathbb Rtomathbb R$, with the notion of continuity, and the construction of the derivative $f'(x)$ and of the integral $int_a^bf(x)dx$. Then we investigate the case of the complex functions $f:mathbb Ctomathbb C$, and notably the holomorphic functions, and harmonic functions. Then, we discuss the multivariable functions, $f:mathbb R^Ntomathbb R^M$ or $f:mathbb R^Ntomathbb C^M$ or $f:mathbb C^Ntomathbb C^M$, with general theory, integration results, maximization questions, and basic applications to physics.
Category: Functions and Analysis
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