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eljose79
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let be the product R(s)R(s+a) with a a complex or real number..the i would like to know the limit Lim(s tends to e) being e a number so R(e)=0 ¿is there a number a so the limit is non-zero nor infinite?..thanks.
eljose79 said:Another question..could be proved that 1/R(s+1/2)=O(R(s)?
eljose79 said:thanks again... the equality 1/R(1/2+it)=O(R(1/2+it) is true?..
eljose79 said:another question let be the Riemann zeta function inside the criticla strip 0<sigma<1 then ..is the product R(a+s)R(s) bounded in the sense exist a and b so a<[R(s+a)R(s)]<b where [x] is the modulus of x [x]=sqrt(x*.x) ?
The Riemann function, also known as the Riemann zeta function, is a mathematical function that plays a significant role in number theory and has applications in physics and engineering. It is defined as the sum of the reciprocals of all positive integers raised to a given power.
One of the most well-known problems with the Riemann function is the Riemann hypothesis, which states that all non-trivial zeros of the function lie on the critical line of 0.5 + i*y. Another problem is the convergence of the function, which is only valid for certain values of the power parameter.
The Riemann function has been used in various fields, including physics, engineering, and cryptography. It has been used to study the distribution of prime numbers and has applications in quantum mechanics, statistical mechanics, and signal processing.
The Riemann function can be challenging to understand, especially for those without a strong background in mathematics. It involves complex numbers and concepts such as the zeta function, which can be daunting for some. However, with dedication and study, it can be understood by anyone.
Yes, there are several unsolved problems related to the Riemann function. The most famous one is the Riemann hypothesis, which has been a subject of intense research for over a century. Other unsolved problems include the distribution of zeros and the behavior of the function at the critical line.