Limit laws for rational continued fractions and value distribution of quantum modular forms (Q6075048)

scientific article; zbMATH DE number 7740421

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English	Limit laws for rational continued fractions and value distribution of quantum modular forms	scientific article; zbMATH DE number 7740421

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instance of

scholarly article

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title

Limit laws for rational continued fractions and value distribution of quantum modular forms (English)

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Proceedings of the London Mathematical Society

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publication date

20 September 2023

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full work available at URL

https://arxiv.org/abs/1903.00457

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zbMATH Keywords

quantum modular forms

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continued fractions

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Gauss map

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arithmetic statistics

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MaRDI publication profile

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cites work

LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS

0 references

ASYMPTOTICS OF THE QUANTUM INVARIANTS FOR SURGERIES ON THE FIGURE 8 KNOT

0 references

A local limit theorem with speed of convergence for Euclidean algorithms and Diophantine costs

0 references

Euclidean algorithms are Gaussian

0 references

Exponential decay of correlations for surface semi-flows without finite Markov partitions

0 references

Sur une \'equation fonctionnelle approch\'ee due \`a J. R. Wilton

0 references

On the Distribution of a Cotangent Sum: Fig. 1.

0 references

On the reciprocity law for the twisted second moment of Dirichlet $L$-functions

0 references

High moments of the Estermann function

0 references

Period functions and cotangent sums

0 references

A Reciprocity Formula for a Cotangent Sum

0 references

Effective estimation of some oscillatory integrals related to infinitely divisible distributions

0 references

Modularity and value distribution of quantum invariants of hyperbolic knots

0 references

Q4836494

0 references

On moments of twisted L-functions

0 references

Some applications of smooth bilinear forms with Kloosterman sums

0 references

Unimodal sequences and ``strange'' functions: a family of quantum modular forms

0 references

Vector-valued higher depth quantum modular forms and higher Mordell integrals

0 references

Asymptotics for the number of row-Fishburn matrices

0 references

On Some Special Families of q-hypergeometric Maass Forms

0 references

Half-integral weight Eichler integrals and quantum modular forms

0 references

Q3840248

0 references

Dedekind sums and Fourier coefficients of modular forms

0 references

Holomorphic Automorphic Forms and Cohomology

0 references

Period Functions for Maass Wave Forms and Cohomology

0 references

Small quotients in Euclidean algorithms

0 references

Finite-dimensional period spaces for the spaces of cusp forms

0 references

Mock modular forms and quantum modular forms

0 references

More than two fifths of the zeros of the Riemann zeta function are on the critical line.

0 references

Integral moments of L-functions

0 references

Q3955608

0 references

Q4341641

0 references

La conjecture de Weil. I

0 references

Short incomplete Gauss sums and rational points on metaplectic horocycles

0 references

Exact results for perturbative Chern-Simons theory with complex gauge group

0 references

The number of steps in the Euclidean algorithm

0 references

Q5776337

0 references

On decay of correlations in Anosov flows

0 references

Q5798359

0 references

Q3549563

0 references

Mock modular forms and $d$-distinct partitions

0 references

MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS

0 references

Quantum knot invariants

0 references

Evaluation of state integrals at rational points

0 references

Q4252234

0 references

Limit theorems in dynamical systems using the spectral method

0 references

Théorèmes limites pour une classe de chaînes de Markov et applications aux difféomorphismes d'Anosov. (Limit theorems for a class of Markov chains and applications to Anosov diffeomorphisms)

0 references

Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions

0 references

Q5613266

0 references

Rates of Convergence in Stable Limit Theorems for Sums of Exponentially Ψ-mixing Random Variables with an Application to Metric Theory of Continued Fractions

0 references

The largest digit in the continued fraction expansion of a rational number

0 references

Continued fractions and density results for Dedekind sums.

0 references

Large deviations for combinatorial distributions. I: Central limit theorems

0 references

Théorie ergodique pour des classes d'opérations non completement continues

0 references

Q4350164

0 references

Q4790111

0 references

Q4830109

0 references

Multifractal analysis of the Brjuno function

0 references

The uniform central limit theorem for theta sums

0 references

A LINK INVARIANT FROM QUANTUM DILOGARITHM

0 references

Perturbation theory for linear operators.

0 references

Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity

0 references

Q4631975

0 references

An implicit function theorem: Comment

0 references

Modular forms and quantum invariants of $3$-manifolds

0 references

Fractions continues aléatoires

0 references

Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis

0 references

Nonvanishing of the central $L$-values with large weight

0 references

Generalizations of a cotangent sum associated to the Estermann zeta function

0 references

Q3655916

0 references

Limit theorems for theta sums

0 references

On a $\zeta$ function related to the continued fraction transformation

0 references

Q4010473

0 references

The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙)

0 references

Mayer’s transfer operator approach to Selberg’s zeta function

0 references

The binary additive divisor problem

0 references

The colored Jones polynomials and the simplicial volume of a knot

0 references

Integer partitions, probabilities and quantum modular forms

0 references

Central values of additive twists of cuspidal $L$-functions

0 references

Q3999409

0 references

Q4534509

0 references

Modular symbols have a normal distribution

0 references

Arithmetic statistics of modular symbols

0 references

Distribution of closed geodesics on the modular surface and quadratic irrationals

0 references

Q5663963

0 references

Moments and distribution of central $L$-values of quadratic twists of elliptic curves

0 references

Q5496814

0 references

Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux

0 references

Q4301585

0 references

Q3135199

0 references

Moments of the Riemann zeta function

0 references

Q3142876

0 references

Q4800024

0 references

Q3412521

0 references

On limit theorems for continued fractions

0 references

Q4272975

0 references

Dynamical analysis of a class of Euclidean algorithms.

0 references

Digits and continuants in Euclidean algorithms. Ergodic versus Tauberian theorems

0 references

A relation between Dedekind sums and Kloosterman sums

0 references

Q4039227

0 references

An approximate functional equation with applications to a problem of Diophantine approximation.

0 references

On the theorem of Gauss-Kusmin-Lévy and a Frobenius-type theorem for function spaces

0 references

Analysis of the subtractive algorithm for greatest common divisors

0 references

The fourth moment of Dirichlet $L$-functions

0 references

Q4252251

0 references

Vassiliev invariants and a strange identity related to the Dedekind eta-function

0 references

Q3001498

0 references

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Mathematics(1 entry)

mardi Publication:6075048