326 citations
- Max Planck SocietyDE129 papers
- Max Planck Institute for Mathematics in the SciencesDE33 papers
- Capital Normal UniversityCN8 papers
- University of BonnDE6 papers
- Northwestern UniversityUS5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Fudan UniversityCN4 papers
- Collège de FranceFR3 papers
- Brown UniversityUS2 papers
- California Institute of TechnologyUS2 papers
- ETH ZurichCH2 papers
- King's College LondonGB2 papers
6 papers · 2 filters
On the non-quadraticity of values of the q-exponential function and related q-series
Christian Krattenthaler, Igor Rochev, Keijo Vaananen +1
We investigate arithmetic properties of values of the entire function $$ F(z)=F_q(z;λ)=\sum_{n=0}^\infty\frac{z^n}{\prod_{j=1}^n(q^j-λ)}, \qquad |q|>1, \quad λ\notin q^{\mathbb Z_{…
On Level-Raising Congruences
Yuval Z. Flicker
A work of Sorensen is rewritten here to include nontrivial types at the infinite places. This extends results of K. Ribet and R. Taylor on level-raising for algebraic modular forms…
Irreducibility of the Hilbert-Blumenthal moduli spaces with parahoric level structure
Chia-Fu Yu
We determine the number of irreducible components of the reduction mod p of any Hilbert-Blumenthal moduli space with a parahoric level structure, where p is unramified in the total…
Iterated Integrals and higher order automorphic forms
Nikolaos Diamantis, Ramesh Sreekantan
Higher order automorphic forms have recently been introduced to study important questions in number theory and mathematical physics. We investigate the connection between these fun…
Remarks on modular symbols for Maass wave forms
Yu I. Manin
In this paper I introduce modular symbols for Maass wave cusp forms. They appear in the guise of finitely additive functions on the Boolean algebra generated by intervals with non-…
A Strong Symmetry Property Of Eisenstein Series
Bernhard Heim
In this paper we present a new method to study Fourier coefficients of holomorphic and non-holomorphic Eisenstein series simultaneously.