University of Illinois Urbana-Champaign

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Showing 31–60 of 64 items
Thumbnail for Geometric and ergodic properties of certain classes of continued fractions
Geometric and ergodic properties of certain classes of continued fractions
Merriman, Claire

Thumbnail for Topics in analytic number theory
Topics in analytic number theory
Pratt, Kyle

Thumbnail for Infrastructure, Arithmetic, and Class Number Computations in Purely Cubic Function Fields of Characteristic at Least 5
Infrastructure, Arithmetic, and Class Number Computations in Purely Cubic Function Fields of Characteristic at Least 5
Landquist, Eric

Thumbnail for Chebyshev-like polynomials, conic distribution of roots, and continued fractions
Chebyshev-like polynomials, conic distribution of roots, and continued fractions
Oyengo, Michael Obiero

Thumbnail for Fourier Coefficients of Modular Forms and Their Applications
Fourier Coefficients of Modular Forms and Their Applications
Masri, Nadia Rose

Thumbnail for Distribution of Selmer Groups of Quadratic Twists of a Family of Elliptic Curves
Distribution of Selmer Groups of Quadratic Twists of a Family of Elliptic Curves
Xiong, Maosheng

Thumbnail for The sum-product problem
The sum-product problem
Shakan, George

Thumbnail for Effective estimates for sums of Kloosterman sums, modular forms, and applications
Effective estimates for sums of Kloosterman sums, modular forms, and applications
Gonzalez-Pagan, Oscar E. • 2023

Thumbnail for Topics in analytic number theory
Topics in analytic number theory
Jaffe, Grace Natalie • 2023

Thumbnail for Zeros and moments of L-functions and applications
Zeros and moments of L-functions and applications
Liu, Di • 2025

Thumbnail for Prime and Quasi-Prime Number Races
Prime and Quasi-Prime Number Races
Sneed, Jason P.

Thumbnail for Investigations Into Cranks of Partitions, Trigonometric Sums, and Q-Integrals
Investigations Into Cranks of Partitions, Trigonometric Sums, and Q-Integrals
Chan, O-Yeat

Thumbnail for Product Identities for Theta Functions
Product Identities for Theta Functions
Cao, Zhu

Thumbnail for Analytic Computation of the Prime -Counting Function
Analytic Computation of the Prime -Counting Function
Galway, William Floyd

Thumbnail for Localization of Divisors of Integers and of Some Arithmetic Functions
Localization of Divisors of Integers and of Some Arithmetic Functions
Hu, Yong

Thumbnail for Topics in analytic number theory
Topics in analytic number theory
Khale, Tanmay • 2026

Thumbnail for Infinite Series Identities in the Theory of Elliptic Functions and Q-Series
Infinite Series Identities in the Theory of Elliptic Functions and Q-Series
Kongsiriwong, Sarachai

Thumbnail for Problems in number theory and hyperbolic geometry
Problems in number theory and hyperbolic geometry
Sinick, Jonah D.

Thumbnail for Modular forms, the Shimura correspondence, and arithmetic applications
Modular forms, the Shimura correspondence, and arithmetic applications
Dicks, Robert • 2023

Thumbnail for Combinatorial methods in number theory: Sieve theory and special functions
Combinatorial methods in number theory: Sieve theory and special functions
Xie, Likun • 2025

Thumbnail for Distribution of Farey Series and Free Path Lengths for a Certain Billiard in the Unit Square
Distribution of Farey Series and Free Path Lengths for a Certain Billiard in the Unit Square
Ledoan, Andrew Huyvu

Thumbnail for Analytic and ergodic properties of certain classes of Euclidean algorithms
Analytic and ergodic properties of certain classes of Euclidean algorithms
Siskaki, Maria • 2023

Thumbnail for On Cranks of Partitions, Generalized Lambert Series, and Basic Hypergeometric Series
On Cranks of Partitions, Generalized Lambert Series, and Basic Hypergeometric Series
Chan, Song Heng

Thumbnail for On the Convergence and Divergence of Q-Continued Fractions on and Off the Unit Circle
On the Convergence and Divergence of Q-Continued Fractions on and Off the Unit Circle
Mc Laughlin, James

Thumbnail for Topics in the theory of automorphic L-functions
Topics in the theory of automorphic L-functions
Basak, Debmalya • 2025

Thumbnail for Cremer Points and Critical Points in Complex Dynamics
Cremer Points and Critical Points in Complex Dynamics
Petracovici, Lia

Thumbnail for Zeros of Generalized Rogers -Ramanujan Series and Topics From Ramanujan's Theory of Elliptic Functions
Zeros of Generalized Rogers -Ramanujan Series and Topics From Ramanujan's Theory of Elliptic Functions
Huber, Timothy

Thumbnail for Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory
Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory
Dixit, Atul

Thumbnail for Entire Function Majorants
Entire Function Majorants
Littmann, Friedrich

Thumbnail for The distribution of k-free numbers and integers with fixed number of prime factors
The distribution of k-free numbers and integers with fixed number of prime factors
Meng, Xianchang