We study the web of correspondences linking the exceptional Lie algebras $ E_ {8, 7, 6} $
and the sporadic simple groups Monster, Baby and the largest Fischer group. This is done …

Let M k!(p) be the space of weakly holomorphic modular forms of weight k on Γ 0 (p), and let
M k!−(p) be the minus space which is the subspace of M k!(p) consisting of all eigenforms of …

The classical Kronecker limit formula describes the constant term in the Laurent expansion
at the first order pole of the non-holomorphic Eisenstein series associated to the cusp at …

Let E (z, s) be the non-holomorphic Eisenstein series for the modular group SL (2, Z) SL (2,
Z). The classical Kronecker limit formula shows that the second term in the Laurent …

There are a number of fundamental results in the study of holomorphic function theory
associated to the discrete group, which are related to 'Monstrous moonshine conjectures' …

The classical parabolic Eisenstein series is a non-holomorphic modular form of weight 0,
which is associated to a cusp of a given Fuchsian group of the first kind. Recently, hyperbolic …

Let X be a smooth, compact, projective Kahler variety and D be a divisor of a holomorphic
form F, and assume that D is smooth up to codimension two. Let ω be a Kahler form on X …

We develop two applications of the Kronecker's limit formula associated to elliptic Eisenstein
series: A factorization theorem for holomorphic modular forms, and a proof of Weil's …

We construct a weight 1/2 multiplier system for the group Γ 0+(p), the normalizer of the
congruence subgroup Γ 0 (p) where p is an odd prime, and we define an analogue of the eta …

We establish transformation laws for generalized Dedekind sums associated to the
Kronecker limit function of non-holomorphic Eisenstein series and their higher-order …