Abstract. We use the Arakawa-Berndt theory of generalized η-functions to prove a con-jecture of Lal̀ın, Rodrigue and Rogers concerning the algebraic nature of special values of the secant zeta function. 1
Riemann zeta function represents an important tool in analytical number theory with various applicat...
We use methods of real analysis to continue the Riemann zeta function ζ(s)ζ(s) to all complex ss, an...
Abstract. The Epstein zeta function Z ( s) is defined for Re a> 1 by where a, b, c are real numb...
Recently, Lalín, Rodrigue, and Rogers have studied the secant zeta function and its convergence. The...
According to the author, ``the purpose of this article is neither to prove new results nor to give a...
AbstractWe study generalized zeta functions of formal languages and series. We give necessary condit...
AbstractAs an analogue to special values at positive integers of the Riemann zeta function, we consi...
[[abstract]]As an analogue to special values at positive integers of the Riemann zeta function, we c...
AbstractThe paper introduces a general class of Tate-like zeta functions and proves an analytic cont...
We prove that the partial zeta function introduced in [9] is a rational function, generalizing Dwork...
AbstractWe consider the zeta and Möbius functions of a partial order on integer compositions first s...
We present a very natural generalization of the Arakawa-Kaneko zeta func-tion introduced ten years a...
AbstractWe study algebraic generalized zeta functions of formal power series. We show that the gener...
This book provides a systematic account of several breakthroughs in the modern theory of zeta functi...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
Riemann zeta function represents an important tool in analytical number theory with various applicat...
We use methods of real analysis to continue the Riemann zeta function ζ(s)ζ(s) to all complex ss, an...
Abstract. The Epstein zeta function Z ( s) is defined for Re a> 1 by where a, b, c are real numb...
Recently, Lalín, Rodrigue, and Rogers have studied the secant zeta function and its convergence. The...
According to the author, ``the purpose of this article is neither to prove new results nor to give a...
AbstractWe study generalized zeta functions of formal languages and series. We give necessary condit...
AbstractAs an analogue to special values at positive integers of the Riemann zeta function, we consi...
[[abstract]]As an analogue to special values at positive integers of the Riemann zeta function, we c...
AbstractThe paper introduces a general class of Tate-like zeta functions and proves an analytic cont...
We prove that the partial zeta function introduced in [9] is a rational function, generalizing Dwork...
AbstractWe consider the zeta and Möbius functions of a partial order on integer compositions first s...
We present a very natural generalization of the Arakawa-Kaneko zeta func-tion introduced ten years a...
AbstractWe study algebraic generalized zeta functions of formal power series. We show that the gener...
This book provides a systematic account of several breakthroughs in the modern theory of zeta functi...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
Riemann zeta function represents an important tool in analytical number theory with various applicat...
We use methods of real analysis to continue the Riemann zeta function ζ(s)ζ(s) to all complex ss, an...
Abstract. The Epstein zeta function Z ( s) is defined for Re a> 1 by where a, b, c are real numb...