Notes on number theory and dynamical systems (original) (raw)

On Transfer Operators for Continued Fractions with Restricted Digits The first author acknowledges the warm hospitality of the University of North Texas, where some of this research took place. The second author was supported by the CONACYT grant no. 110864/110990. The third author was supported ...

Leti Gonzalez

Proceedings of the London Mathematical Society, 2003

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On the Application of the Matrix Formalism for the Heat Kernel to Number Theory

Aleksandr Ivanov

Journal of Mathematical Sciences, 2019

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Some applications of homogeneous dynamics to number theory

beks dani

2002

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Dynamical Numbers: Interplay between Dynamical Systems and Number Theory

P. Moree

2010

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THE EARLY PAPERS ON NUMBER-THEORETIC TRANSFORMS (NTT)–A BIBLIOGRAPHY UNTIL 1991

Reiner Creutzburg

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A new discrete dynamical system of signed integer partitions

Paolo Antonio Oliverio

European Journal of Combinatorics, 2016

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A new formula for calculating Stark units over real quadratic number fields

Robert Sczech

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Recent Work on the Partition Function

Ken Ono

2013

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A generalised dyadic number system

Enrique de Amo

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An arithmetic formula for the partition function

Ken Ono

Proceedings of The American Mathematical Society, 2007

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Generalized Farey Trees, Transfer Operators and Phase Transitions

Mirko Esposti

Shock Waves, 2007

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On a two-variable zeta function for number fields

Jeffrey Lagarias

Annales de l’institut Fourier, 2003

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Notes on Number Theory and Discrete Mathematics

Florentin Smarandache

2003

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Partition function zeros at first-order phase transitions: Pirogov-Sinai theory

Christian Borgs

2003

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On mex-related partition functions of Andrews and Newman

Rupam Barman

Research in Number Theory, 2021

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Note on a partition function

Manvendra Tamba

Journal of Number Theory, 1992

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Integrals of a Lotka-Volterra System of Odd Number of Variables

Yoshiaki Itoh

Progress of Theoretical Physics, 1987

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The Lattice Structure of Equally Extended Signed Partitions

Paolo Antonio Oliverio

Fundamenta Informaticae, 2015

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Integer matrices related to Liouville’s function

Shea Oon

Czechoslovak Mathematical Journal, 2013

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An Elementary Dyadic Riemann Hypothesis

Oliver Knill

arXiv (Cornell University), 2018

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Heat Kernel Expansions on the Integers

F. Alberto GRUNBAUM

2002

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Gibbs partitions, Riemann–Liouville fractional operators, Mittag–Leffler functions, and fragmentations derived from stable subordinators

Man Wai Ho

Journal of Applied Probability, 2021

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Transfer operators and dimension of bad sets for non-uniform Fuchsian lattices. (arXiv:1812.11921v3 [math.DS] UPDATED)

Luca Marchese

arXiv Dynamical Systems, 2020

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Partition Functions in Numeration Systems with Bounded Multiplicity

alain thomas

2014

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Partition-theoretic formulas for arithmetic densities, II

Ken Ono

Hardy-Ramanujan Journal

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On a New Mathematical Application Concerning the Discrete and the Analytic Functions. Mathematical Connections with Some Sectors of Number Theory and String Theory

Michele Nardelli

viXra, 2020

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Analysis of Tsallis’ classical partition function’s poles

Plastino Luis

Physica A: Statistical Mechanics and its Applications, 2017

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On the Density of the Odd Values of the Partition Function

William J. Keith

Annals of Combinatorics

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The part-frequency matrices of a partition

William J. Keith

Journal of Algebra Combinatorics Discrete Structures and Applications, 2016

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Signatures of partition functions and their complexity reduction through the KP II equation

Mario Angelelli

2018

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Graphs of Partitions and Ramanujan’s Τ-Function

Barry Brent

2004

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Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models

Dieter Mayer

Communications in Mathematical Physics - COMMUN MATH PHYS, 2002

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Semigroup's series for negative degrees of the gaps values in numerical semigroups generated by two integers and identities for the Hurwitz zeta functions

Leonid Fel

arXiv (Cornell University), 2017

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Parallel and sequential dynamics of two discrete models of signed integer partitions

Paolo Antonio Oliverio

Applied Mathematics and Computation, 2014

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The partition function and Hecke operators

Ken Ono

Advances in Mathematics, 2011

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