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On modular functions

1996
For a lattice \(L\) and a group \(G\) a map \(\mu: L\to G\) is called a modular function if for all \(x,y\in L\), we have \(\mu(x\vee y)+ \mu(x\wedge y)= \mu(x)+ \mu(y)\). The important examples that provide much of the motivation for the study of modular functions are furnished by measures on Boolean algebras and linear operators on vector lattices ...
openaire   +2 more sources

Zeta-Functions of Modular Curves

2006
This work gives an exposition and a generalization of classical results due to M. Eichler [1] and G. Shimura [2], which give the expression of congruence-zeta-functions of some modular curves in terms of Hecke polynomials. The central point in these papers is the famous congruence relation which links the local factor of the Mellin transforms of ...
openaire   +1 more source

Functional equation of the p-adic L-function of Bianchi modular forms

Journal of Number Theory, 2023
Luis Santiago Palacios
exaly  

Selberg's zeta function for the modular group in the critical strip

Mathematische Nachrichten, 2021
Yasufumi Hashimoto
exaly  

Units in the modular function field

Mathematische Annalen, 1975
Dan Kubert, Kubert Dan
exaly   +2 more sources

An Application of the Modular Function in Nonlocal Variational Problems

Archive for Rational Mechanics and Analysis, 2007
Xinfu Chen   +2 more
exaly  

Inequalities and infinite product formula for Ramanujan generalized modular equation function

Ramanujan Journal, 2017
Miao-Kun Wang   +2 more
exaly  

MODULAR FUNCTIONS

Journal of Experimental Biology, 2005
openaire   +1 more source

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