Generalized modular forms including the weak Maass forms,the Ramanujan's Theta functions and the Tau function

Abstract

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 Theta functions and to the cusp forms generated from the Langlands global program.

67 pages

References in corpus (8)

• Mock Theta Functions
• Algebraic quantum theory
• n-Dimensional global correspondences of Langlands over singular schemes (II)
• From global class field concepts and modular representations to the conjectures of Shimura-Taniyama-Weil,Birch-Swinnerton-Dyer and Riemann
• Higher algebraic K-theories related to the global program of Langlands
• The Langlands functoriality conjecture in the bisemialgebra framework
• The Thurston's program derived from the Langlands global program with singularities
• GL(2)-structures of the Langlands global program