29 citations · 72 across the 19 of their papers we have counts for
19 papers
Generalized modular forms including the weak Maass forms,the Ramanujan's Theta functions and the Tau function
Christian Pierre
The modular forms are revisited from a geometric and an algebraic point of view leading to a geometric interpretation of the weak Maass forms connecting them to the Ramanujan Mock…
Random matrices and Riemann hypothesis
Christian Pierre
The curious connection between the spacings of the eigenvalues of random matrices and the corresponding spacings of the non trivial zeros of the Riemann zeta function is analyzed o…
Higher algebraic K-theories related to the global program of Langlands
Christian Pierre
The paper revisits concretely the algebraic K-theory in the light of the global program of Langlands by taking into account the new algebraic interpretation of homotopy viewed as d…
GL(2)-structures of the Langlands global program
Christian Pierre
All kinds of global correspondences of Langlands are evaluated from the functional representation spaces of the algebraic bilinear semigroups GL2(.x.) with entries in products,righ…
The Goldbach conjecture resulting from global-local cuspidal representations and deformations of Galois representations
Christian Pierre
In the basic general frame of the Langlands global program, a local p-adic elliptic semimodule corresponding to a local (left) cuspidal form is constructed from its global equivale…
Mass generation of elementary particles and origin of the fundamental forces in algebraic quantum theory
C. Pierre
The main thesis of this paper deals with the interactions of a set of fermions which are described by one basic type of bilinear interactions,two symmetric semiobjects,three embedd…