Abstract. We investigate the behavior of the Euler products of the Riemann zeta function and Dirichlet L-functions on the critical line. A refined version of the Riemann hypothesis, which is named “the Deep Riemann Hypothesis ” (DRH), is examined. We also study various analogs for global function fields. We give an interpretation for the nontrivial zeros from the viewpoint of statistical mechanics. 1
thesisThis thesis is concerned with the development of certain aspects of the theory of the Riemann ...
The Riemann hypothesis is an unproven statement referring to the zeros of the Riemann zeta function....
The Riemann Hypothesis, posed in 1859 by Bernhard Riemann, is about zerosof the Riemann zeta-functio...
Abstract. We investigate the behavior of the Euler products of the Riemann zeta function and Dirichl...
In previous work, it was shown that if certain series based on sums over primes of non-principal Dir...
Abstract: We show a proof of the so-called Riemann Hypothesis (RH) stating that “All the non-trivial...
International audienceWe show a proof of the so-called Riemann Hypothesis (RH) stating that " All th...
In this paper the famous Riemann Hypothesis is proven. It was proven that the zeta-function allows u...
Abstract: An equivalent, but variant form of Riemann's functional equation is explored, and sev...
An equivalent, but variant form of Riemann’s functional equation is explored, and several discoverie...
L functions based on Dirichlet characters are natural generalizations of the Riexnann zeta (s) funct...
The Riemann hypothesis is an unsolved problem in mathematics involving the locations of the non-tr...
In this work we consider an equation for the Riemann zeta-function in the critical half-strip. With ...
All eyes are on the Riemann’s hypothesis, zeta and L-functions, which are false, read this paper. Th...
We estimate large and small values of $|L(\rho',\chi)|$, where $\chi$ is a primitive character mod $...
thesisThis thesis is concerned with the development of certain aspects of the theory of the Riemann ...
The Riemann hypothesis is an unproven statement referring to the zeros of the Riemann zeta function....
The Riemann Hypothesis, posed in 1859 by Bernhard Riemann, is about zerosof the Riemann zeta-functio...
Abstract. We investigate the behavior of the Euler products of the Riemann zeta function and Dirichl...
In previous work, it was shown that if certain series based on sums over primes of non-principal Dir...
Abstract: We show a proof of the so-called Riemann Hypothesis (RH) stating that “All the non-trivial...
International audienceWe show a proof of the so-called Riemann Hypothesis (RH) stating that " All th...
In this paper the famous Riemann Hypothesis is proven. It was proven that the zeta-function allows u...
Abstract: An equivalent, but variant form of Riemann's functional equation is explored, and sev...
An equivalent, but variant form of Riemann’s functional equation is explored, and several discoverie...
L functions based on Dirichlet characters are natural generalizations of the Riexnann zeta (s) funct...
The Riemann hypothesis is an unsolved problem in mathematics involving the locations of the non-tr...
In this work we consider an equation for the Riemann zeta-function in the critical half-strip. With ...
All eyes are on the Riemann’s hypothesis, zeta and L-functions, which are false, read this paper. Th...
We estimate large and small values of $|L(\rho',\chi)|$, where $\chi$ is a primitive character mod $...
thesisThis thesis is concerned with the development of certain aspects of the theory of the Riemann ...
The Riemann hypothesis is an unproven statement referring to the zeros of the Riemann zeta function....
The Riemann Hypothesis, posed in 1859 by Bernhard Riemann, is about zerosof the Riemann zeta-functio...