7 citations · 21 across the 12 of their papers we have counts for
12 papers
Analytic renormalization of multiple zeta functions. Geometry and combinatorics of the generalized Euler reflection formula for MZV
Andrei Vieru
The renormalization of MZV was until now carried out by algebraic means. We show that renormalization in general, of the multiple zeta functions in particular, is more than mere co…
Euler constant as a renormalized value of Riemann zeta function at its pole. Rationals related to Dirichlet L-functions
Andrei Vieru
We believe that Euler constant is not just the "renormalized" value of the Riemann zeta function in 1. In a sense that we shall clarify it is in fact the normal and natural value o…
Fractal algebraic and linguistic structures generated by the Laurent series for the Gamma function near its negative poles
Andrei Vieru
We give closed-form expressions for the Laurent series coefficients of the Gamma function near all its strictly negative singularities. These closed-form expressions are clearly se…
Pisot Numbers and Primes
Andrei Vieru
We define and study a transform whose iterates bring to the fore interesting relations between Pisot numbers and primes. Although the relations we describe are general, they take a…
Agoh's conjecture: its generalizations, its analogues
Andrei Vieru
In this paper we formulate two generalizations of Agoh's conjecture. We also formulate conjectures involving congruence modulo primes about hyperbolic secant, hyperbolic tangent, N…
Short note on additive sequences and on recursive processes
Andrei Vieru
Simple methods permit to generalize the concepts of iteration and of recursive processes. We shall see briefly on several examples what these methods generate. In additive sequence…