Multiple modular values are a common generalisation of multiple zeta values and periods of
modular forms, and are periods of a hypothetical Tannakian category of mixed modular …

We consider the fourteen families W of Calabi–Yau threefolds with one complex structure
parameter and Picard–Fuchs equation of hypergeometric type, like the mirror of the quintic …

Ramanujan made many beautiful and elegant discoveries in his short life of 32 years, and
one of them that has attracted the attention of several mathematicians over the years is his …

The period polynomial rf (z) for an even weight k≥ 4 newform f∈ S k (Γ 0 (N)) is the
generating function for the critical values of L (f, s). It has a functional equation relating rf (z) …

We show that if the dimension of the space of cuspforms is greater than or equal to three,
then any three even periods are linearly independent. We also prove an asymptotic result for …

We consider the secant Dirichlet series ψ _s (τ)= ∑ _ n= 1^ ∞\sec (π n τ) n^ s ψ s (τ)=∑ n=
1∞ sec (π n τ) ns, recently introduced and studied by Lalín, Rodrigue and Rogers. In …

The purpose of this paper is to define and study a common generalisation of multiple zeta
values, which are iterated integrals on the projective line minus 3 points and periods of …

We prove that products of at most two vector valued Eisenstein series that originate in level 1
span all spaces of cusp forms for congruence subgroups. This can be viewed as an …

Generalizing a result of [15] for modular forms of level one, we give a closed formula for the
sum of all Hecke eigenforms on 0 (N), multiplied by their odd period polynomials in two …

We show that all but five of the zeros of the odd period polynomial associated to a newform
of even weight k on Γ 0 ( 2 ) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …