A hyperbolic analogue of the Rademacher symbol
From MaRDI portal
Publication:6198268
DOI10.1007/s00208-023-02588-9arXiv2003.12354OpenAlexW3081808311MaRDI QIDQ6198268
Publication date: 21 February 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.12354
Forms of half-integer weight; nonholomorphic modular forms (11F37) Dedekind eta function, Dedekind sums (11F20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rational period functions and cycle integrals
- Cycle integrals of the \(j\)-function and mock modular forms
- On the theory of Dedekind sums.
- Fourier coefficients and modular forms of half-integral weight
- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- The logarithm of the Dedekind \(\eta\)-function
- Harmonic differentials and closed geodesics on a Riemann surface
- Euler and Maslov cocycles
- Modular forms associated to real quadratic fields
- Dedekind sums, \(\mu\)-invariants and the signature cocycle
- On divisors of modular forms
- Petersson norm of cusp forms associated to real quadratic fields
- Computing intersections of closed geodesics on the modular curve
- A continuity of cycle integrals of modular functions
- Modular knots, automorphic forms, and the Rademacher symbols for triangle groups
- Values of modular functions at real quadratics and conjectures of Kaneko
- A problem of Petersson about weight 0 meromorphic modular forms
- Cycle integrals of modular functions, Markov geodesics and a conjecture of Kaneko
- On the number of divisors of quadratic polynomials
- Modular cocycles and linking numbers
- Ein Summationsverfahren für die Poincareschen Reihen von der Dimension -2 zu den hyperbolischen Fixpunktepaaren
- Markov's Theorem and 100 Years of the Uniqueness Conjecture
- Elliptic Modular Forms and Their Applications
- Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
- OBSERVATIONS ON THE ‘VALUES’ OF THE ELLIPTIC MODULAR FUNCTION j(τ) AT REAL QUADRATICS
- Über einfache periodische Kettenbrüche und Vermutungen von P. Chowla und S. Chowla
- Shifted polyharmonic Maass forms for ${\rm PSL} (2,{\mathbb Z})$
- Meromorphic Modular Forms with Rational Cycle Integrals
- Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves
- Genus character L‐functions of quadratic orders and class numbers
- Locally Harmonic Maass Forms and the Kernel of the Shintani Lift
- Upper bound on √x Jν(x) and its applications
- The Reciprocity of Dedekind Sums and the Factor Set for the Universal Covering Group of SL(2, R)
- Modular Forms
This page was built for publication: A hyperbolic analogue of the Rademacher symbol