We consider certain convolution sums that are the subject of a conjecture by Chester, Green,
Pufu, Wang, and Wen in string theory. We prove a generalized form of their conjecture …

We discuss a two-parameter renormalization group (RG) flow when parameters are
organized in a single complex variable, τ, with modular properties. Throughout the work we …

An exact transformation, which we call the master identity, is obtained for the first time for the
series∑ n= 1∞ σ a (n) e-ny for a∈ C and Re (y)> 0. New modular-type transformations …

We discuss a two-parameter renormalization group (RG) consideration of a phyllotaxis
model in the framework of the``energetic approach''proposed by L. Levitov in 1991 …

In this expository article, we discuss the contributions made by several mathematicians with
regard to a famous formula of Ramanujan for odd zeta values. The goal is to complement …

An exact transformation, which we call a master identity, is obtained for the series∑∞ n= 1
σa (n) e− ny for a∈ C and Re (y)> 0. As corollaries when a is an odd integer, we derive the …

A Ramanujan-type formula involving the squares of odd zeta values is obtained. The crucial
part in obtaining such a result is to conceive the correct analogue of the Eisenstein series …

In this article, we obtain a transformation formula for the higher power of odd zeta values,
which generalizes Ramanujan's formula for odd zeta values. We have also investigated …

Abstract We consider the Kudla–Millson theta series associated to a quadratic space of
signature (N, N). By combining a “see-saw” argument with the Siegel–Weil formula, we show …

Orthogonal Eisenstein Series of Singular Weight Page 1 Orthogonal Eisenstein Series of
Singular Weight Vom Fachbereich Mathematik der Technischen Universität Darmstadt zur …