Results 71 to 80 of about 6,496 (142)
Rational period functions and cycle integrals [PDF]
, 2018 In this paper we give some applications of weakly holomorphic forms and their cycle integrals to rational period functions for the modular group.
Duke, W., Imamoḡlu, Ö., Tóth, Á.
core
Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
wiley +1 more source
Borcherds Forms and Generalizations of Singular Moduli [PDF]
, 2005 We give a factorization of averages of Borcherds forms over CM points associated to a quadratic form of signature (n,2). As a consequence of this result, we are able to state a theorem like that of Gross and Zagier about which primes can occur in this ...
Schofer, Jarad
core +2 more sources
Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley +1 more source
Proceedings of the Japan Academy. Series A Mathematical sciences, 2022 Soyoung Choi
semanticscholar +1 more source
Weakly holomorphic modular forms of half-integral weight with nonvanishing constant terms modulo $\ell $ [PDF]
Transactions of the American Mathematical Society, 2009 Summary: Let \( \ell\) be a prime and \( \lambda,j\geq 0\) be an integer. Suppose that \( f(z)=\sum_{n}a(n)q^n\) is a weakly holomorphic modular form of weight \( \lambda+\frac{1}{2}\) and that \( a(0)\not \equiv 0 \pmod{\ell}\). We prove that if the coefficients of \( f(z)\) are not ``well-distributed'' modulo \( \ell^j\), then \[ \lambda=0\text{ or }
openaire +1 more source
A single-variable proof of the omega SPT congruence family over powers of 5. [PDF]
Ramanujan J, 2023 Smoot NA.
europepmc +1 more source
Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions. [PDF]
Ramanujan J, 2021 Klein D, Kupka J.
europepmc +1 more source
$p$-adic Limit of Weakly Holomorphic Modular Forms of Half Integral Weight
, 2007 Serre obtained the p-adic limit of the integral Fourier coefficient of modular forms on $SL_2(\mathbb{Z})$ for $p=2,3,5,7$. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ _{0}(4N)$ for $N=1,2,4$.
Choi, Dohoon, Choie, YoungJu
openaire +2 more sources
Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2023 Vernooij M, Wirth M.
europepmc +1 more source