Add to ORKGAfter reviewing properties of analytic functions on the multicomplex number space ℂk (a commutative generalization of the bicomplex numbers ℂ2), a multicomplex Riemann zeta function is defined through analytic continuation. Properties of this function are explored, and we are able to state a multicomplex equivalence to the Riemann hypothesis. © 2012 Springer Basel
In mathematics still exist a lot of unproven theorems and one of them is Riemann hypothesis about ze...
The survey is devoted to the multidimensional generalization of the Riemann zeta function as a funct...
This paper is based on lecture notes given by the second author at Temple University in the spring o...
After reviewing properties of analytic functions on the multicomplex number space ℂk (a commutative ...
After reviewing properties of analytic functions on the multicomplex number space (a commutative gen...
This thesis is an exposition of the Riemann zeta function. Included are techniques of analytic cont...
The objective of this dissertation is to study the Riemann zeta function in particular it will exami...
AbstractSome of the results on the criteria for the existence of an analytic continuation into a dom...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
Abstract. The Riemann zeta function at integer arguments can be written as an infinite sum of certai...
Abstract. The Riemann zeta function at integer arguments can be written as an infinite sum of certai...
We present some novelties on the Riemann zeta function. Using the analytic continuation we created f...
This thesis is an exposition of the Riemann zeta function. Included are techniques of  analytic co...
analytic continuation and the asymptotic behaviour of multiple zeta-functions II Kohji Matsumoto The...
In mathematics still exist a lot of unproven theorems and one of them is Riemann hypothesis about ze...
The survey is devoted to the multidimensional generalization of the Riemann zeta function as a funct...
This paper is based on lecture notes given by the second author at Temple University in the spring o...
After reviewing properties of analytic functions on the multicomplex number space ℂk (a commutative ...
After reviewing properties of analytic functions on the multicomplex number space (a commutative gen...
This thesis is an exposition of the Riemann zeta function. Included are techniques of analytic cont...
The objective of this dissertation is to study the Riemann zeta function in particular it will exami...
AbstractSome of the results on the criteria for the existence of an analytic continuation into a dom...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
Abstract. The Riemann zeta function at integer arguments can be written as an infinite sum of certai...
Abstract. The Riemann zeta function at integer arguments can be written as an infinite sum of certai...
We present some novelties on the Riemann zeta function. Using the analytic continuation we created f...
This thesis is an exposition of the Riemann zeta function. Included are techniques of  analytic co...
analytic continuation and the asymptotic behaviour of multiple zeta-functions II Kohji Matsumoto The...
In mathematics still exist a lot of unproven theorems and one of them is Riemann hypothesis about ze...
The survey is devoted to the multidimensional generalization of the Riemann zeta function as a funct...
This paper is based on lecture notes given by the second author at Temple University in the spring o...