scholarly journals Is Complex Number Theory Free From Contradiction?

2021 ◽  
Author(s):  
Han Geurdes
Keyword(s):  
Number Theory ◽  
Complex Number

In the paper it is demonstrated that a valid path to a contradiction in complex number theory exists. In the path use is made of Euler’s identity and simple trigonometry. Each step can be easily verified.

Watermarking of Digital Image Based on Complex Number Theory

2021 ◽  
pp. 531-541
Author(s):  
Nadia Afrin Ritu ◽  
Ahsin Abid ◽  
Al Amin Biswas ◽  
M. Imdadul Islam
Keyword(s):  
Number Theory ◽  
Digital Image ◽  
Complex Number

scholarly journals HUA'S INEQUALITY FOR COMPLEX NUMBER

1995 ◽  
Vol 26 (3) ◽  
pp. 257-260
Author(s):  
SEVER SILVESTRU DRAGOMIR
Keyword(s):  
Number Theory ◽  
Complex Number ◽  
Complex Numbers

Variants for the complex numbers of the celebrated Lo-Keng Hua's inequality which is very important in Number Theory are given.

scholarly journals Complex Number Theory without Imaginary Number (i)

OALib ◽  
2014 ◽  
Vol 01 (07) ◽  
pp. 1-13
Author(s):  
Deepak Bhalchandra Gode
Keyword(s):  
Number Theory ◽  
Complex Number ◽  
Imaginary Number

Formalization of the Complex Number Theory in HOL4,

2013 ◽  
Vol 7 (1) ◽  
pp. 279-286 ◽  
Author(s):  
Zhiping Shi ◽  
Liming Li ◽  
Yong Guan ◽  
Xiaoyu Song ◽  
Minhua Wu ◽  
...  
Keyword(s):  
Number Theory ◽  
Complex Number

Characteristic Functions

2021 ◽  
pp. 213-234
Author(s):  
James Davidson
Keyword(s):  
Number Theory ◽  
Characteristic Function ◽  
Complex Number ◽  
Random Variables ◽  
Infinite Divisibility ◽  
Characteristic Functions ◽  
Conditional Distributions ◽  
Inversion Theorem ◽  
Sums Of Random Variables

This chapter begins with a look at convolutions and the distribution of sums of random variables. It briefly surveys complex number theory before defining the characteristic function and studying its properties, with a range of examples. The concept of infinite divisibility is introduced. The important inversion theorem is treated and finally consideration is given to characteristic functions in conditional distributions.

Multiplicative Number Theory I

2006 ◽  
Author(s):  
Hugh L. Montgomery ◽  
Robert C. Vaughan
Keyword(s):  
Number Theory
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