1 citations · 2 across the 8 of their papers we have counts for
8 papers
On the irrationality of certain -adic zeta values
Li Lai, Cezar Lupu, Johannes Sprang
A famous theorem of Zudilin states that at least one of the Riemann zeta values is irrational. In this paper, we establish the -adic analogue of Zudili…
On some rational zeta series involving and binomial coefficients
Cezar Lupu, Vlad Matei
In this note, we give an exact formula for a general family of rational zeta series involving the coefficient in terms of Hurwitz zeta values. This formula generalizes two…
Elementary proofs of Zagier's formula for multiple zeta values and its odd variant
Li Lai, Cezar Lupu, Derek Orr
In this paper, we give elementary proofs of Zagier's formula for multiple zeta values involving Hoffman element and its odd variant due to Murakami. Zagier's formula was a key ingr…
Another look at Zagier's formula for multiple zeta values involving Hoffman elements
Cezar Lupu
In this paper, we give an elementary account into Zagier's formula for multiple zeta values involving Hoffman elements. Our approach allows us to obtain direct proof in a special c…
Approximations for Apery's constant and rational series representations involving
Cezar Lupu, Derek Orr
In this note, using an idea from \cite{Amo-Carrillo-Sanchez} we derive some new series representations involving and Euler numbers. Using a well-known series representation…
On a class of Variational-Hemivariational Inequalities involving set valued mappings
Nicusor Costea, Cezar Lupu
Using the KKM technique, we establish some existence results for variational-hemivariational inequalities involving monotone set valued mappings on bounded, closed and convex subse…
Sharpness of the Finsler-Hadwiger inequality
Cezar Lupu, Cosmin Pohoata
In this paper we shall prove a sharpened version of the Finsler-Hadwiger inequality which is a strong generalization of Weitzenbock inequality. After that we give another refinemen…
A new and elementary proof of Newton's "favorite" quadrature formulae
Cezar Lupu, Tudorel Lupu
In this note we shall give a new proof to a quadrature formulae due to Newton.