Results 31 to 40 of about 389,243 (281)

On p-adic properties of Siegel modular forms

, 2013
We show that Siegel modular forms of level \Gamma_0(p^m) are p-adic modular forms. Moreover we show that derivatives of such Siegel modular forms are p-adic. Parts of our results are also valid for vector-valued modular forms.
Boecherer, Siegfried, Nagaoka, Shoyu
core   +1 more source

Almost holomorphic Poincare series corresponding to products of harmonic Siegel-Maass forms [PDF]

, 2016
We investigate Poincar\'e series, where we average products of terms of Fourier series of real-analytic Siegel modular forms. There are some (trivial) special cases for which the products of terms of Fourier series of elliptic modular forms and harmonic ...
Bringmann, K., Richter, O. K., Westerholt-Raum, M.   +2 more
core   +2 more sources

Polar harmonic Maass forms and their applications [PDF]

, 2016
In this survey, we present recent results of the authors about non-meromorphic modular objects known as polar harmonic Maass forms. These include the computation of Fourier coefficients of meromorphic modular forms and relations between inner products of
Bringmann, Kathrin, Kane, Ben
core   +2 more sources

Finite Modular Forms

Finite Fields and Their Applications, 2001
The author develops a theory of modular forms for the fractional linear action of \(\Gamma:= \text{GL}(2,K)\) on the ``upper half plane'' \(\Omega:={\mathbf P}^1_K - {\mathbf P}^1(K)\), where \(K\) is a finite field. The theory looks like a shadow of the theory of classical or Drinfeld modular forms and, indeed, occurs naturally as the reduction of the
openaire   +2 more sources

Covariants of binary sextics and vector-valued Siegel modular forms of genus two [PDF]

, 2017
We extend Igusa’s description of the relation between invariants of binary sextics and Siegel modular forms of degree 2 to a relation between covariants and vector-valued Siegel modular forms of degree 2.
Cléry, F., Faber, C., Geer, G.
core   +2 more sources

Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52

Open Mathematics, 2017
The convolution sum, ∑(l,m)∈N02αl+βm=nσ(l)σ(m), $ \begin{array}{} \sum\limits_{{(l\, ,m)\in \mathbb{N}_{0}^{2}}\atop{\alpha \,l+\beta\, m=n}} \sigma(l)\sigma(m), \end{array} $ where αβ = 22, 44, 52, is evaluated for all natural numbers n. Modular forms
Ntienjem Ebénézer
doaj   +1 more source

ORGANIZATION MANAGEABILITY ENHANCED THROUGH TOPOLOGICAL MODULAR FORMS

Journal of Social Sciences, 2023
Organizational manageability is a crucial aspect of business management, requiring a combination of forecasting, planning, organizing, implementing, controlling and decision-making.
NANTOI, Daria, NANTOI, Vadim
doaj   +1 more source

MAGNETIC (QUASI-)MODULAR FORMS

Nagoya Mathematical Journal, 2022
AbstractA (folklore?) conjecture states that no holomorphic modular form $F(\tau )=\sum _{n=1}^{\infty } a_nq^n\in q\mathbb Z[[q]]$ exists, where $q=e^{2\pi i\tau }$ , such that its anti-derivative $\sum _{n=1}^{\infty } a_nq^n/n$ has integral coefficients in the q-expansion.
VICENŢIU PAŞOL, WADIM ZUDILIN
openaire   +4 more sources

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
wiley   +1 more source

On the common zeros of quasi-modular forms for Γ+0(N) of level N = 1, 2, 3

Open Mathematics
In this article, we study common zeros of the iterated derivatives of the Eisenstein series for Γ0+(N){\Gamma }_{0}^{+}\left(N) of level N=1,2,and2,N=1,2, and 3, which are quasi-modular forms.
Im Bo-Hae, Kim Hojin, Lee Wonwoong
doaj   +1 more source