Cover Image

The congruence properties of Romik's sequence of Taylor coefficients of Jacobi's theta function $θ_3$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Krattenthaler, Christian, Müller, Thomas W.
Format:	Preprint
Published:	2023
Subjects:	Number Theory Primary 11F37, Secondary 11B83 14K25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Multiplicative congruences for Andrews's even parts below odd parts function and related infinite products
by: Garvan, Frank, et al.
Published: (2025)

Hecke Relations for Eta Multipliers and Congruences of Higher-Order Smallest Parts Functions
by: Williams, Clayton
Published: (2024)

Correspondence among congruence families for generalized Frobenius partitions via modular permutations
by: Chen, Rong, et al.
Published: (2025)

Lefschetz decompositions of Kudla-Millson theta functions
by: Bruinier, Jan Hendrik, et al.
Published: (2024)

Transformation properties of Andrews-Beck $NT$ functions and generalized Appell-Lerch series
by: Chen, Rong, et al.
Published: (2024)

Analogue of the theta group $Γ_θ$
by: Matsuda, Kazuhide
Published: (2026)

Partition Frequency Moments: Modularity and Congruences
by: Bal, Hartosh Singh
Published: (2026)

An alternating sum of the floor function of square roots
by: Chamberland, Marc, et al.
Published: (2025)

Notes on congruence zeta functions via a Berkovich approach
by: Yamada, Yuto
Published: (2026)

Analogue of the theta group $Γ_θ,$ II
by: Matsuda, Kazuhide
Published: (2026)

Construction of Jacobi forms using adjoint of Jacobi-Serre derivative
by: Charan, Mrityunjoy, et al.
Published: (2024)

Arithmetic properties of the Taylor coefficients of differentially algebraic power series
by: Krattenthaler, Christian, et al.
Published: (2025)

Central $L$-values of newforms and local polynomials
by: Males, Joshua, et al.
Published: (2023)

Asymptotics and sign patterns of Hecke polynomial coefficients
by: Ross, Erick, et al.
Published: (2024)

Non-repetition of second coefficients of Hecke polynomials
by: Clayton, Archer, et al.
Published: (2024)

A Balanced Three-term Generalization of Nicomachus' Identity
by: Kim, Seon-Hong, et al.
Published: (2025)

Elliptic normal curves of even degree and theta functions
by: Kaneko, Masanobu, et al.
Published: (2020)

Critical probabilistic characteristics of the Cramér model for primes and arithmetical properties
by: Weber, Michel
Published: (2021)

Counting rational approximations on rank one flag varieties
by: Pfitscher, René
Published: (2024)

An additive problem in the Fourier coefficients of cusp forms
by: Harcos, Gergely
Published: (2001)

Polarizations, torsors and theta groups
by: Laga, Jef
Published: (2025)

On the parity of coefficients of eta powers
by: Charlton, Steven, et al.
Published: (2024)

Isomorphism between Jacobi forms of index $D_{2n+1}$ and elliptic modular forms of level $2$
by: Hayashida, Shuichi
Published: (2025)

Double coset operators and eta-quotients
by: Zhou, Hai-Gang, et al.
Published: (2021)

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
by: Anamby, Pramath, et al.
Published: (2025)

Recurrence and congruences for the smallest parts function
by: Wang, Wei
Published: (2025)

Automorphic density estimates and optimal Diophantine exponents
by: Fraczyk, Mikolaj, et al.
Published: (2024)

A formula for Fourier coefficients of certain eta-quotients and their expansions as Eisenstein series
by: Zhu, Xiao-Jie
Published: (2024)

Quasimodular forms arising from Jacobi's theta function and special symmetric polynomials
by: Amdeberhan, Tewodros, et al.
Published: (2025)

The quotient problem for linear recurrence sequences
by: Nair, Parvathi S, et al.
Published: (2026)

Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025)

Metric properties of continued fractions with large prime partial quotients
by: Cheng, Wanjin, et al.
Published: (2025)

Measure theoretic properties of large products of consecutive partial quotients
by: Brown-Sarre, Adam, et al.
Published: (2024)

Polynomials and algebraic curves related to certain binary and $b$-ary overpartitions
by: Dilcher, Karl, et al.
Published: (2024)

The metric theory of small gaps for a sequence of real numbers
by: Mahajan, Jewel
Published: (2025)

A Hyperbolic Analogue of the Rademacher Symbol
by: Matsusaka, Toshiki
Published: (2020)

Local Maaß forms and Eichler--Selberg type relations for negative weight vector-valued mock modular forms
by: Males, Joshua, et al.
Published: (2021)

On $q$-Analogs of the $3x+1$ Dynamical System
by: Monks, Kenneth G.
Published: (2025)

$\ell$-adic properties and congruences of $\ell$-regular partition functions
by: El-Guindy, Ahmad, et al.
Published: (2024)

Integrability of Siegel transforms and an application
by: Pfitscher, René
Published: (2025)