:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Kilictas, Bugra, Alpay, Faruk
Format:	Preprint
Published:	2025
Subjects:	Number Theory Data Structures and Algorithms Numerical Analysis 11N05, 11Y35, 11M26, 65B10 F.2.1; I.1.2
Online Access:	https://arxiv.org/abs/2506.22634
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Constructive Heuristic Sieve for the Twin Prime Problem
by: Shi, Yuhang
Published: (2025)

Temporal Anchoring in Deepening Embedding Spaces: Event-Indexed Projections, Drift, Convergence, and an Internal Computational Architecture
by: Alpay, Faruk, et al.
Published: (2025)

Analysis of Algorithms for Moser's Problems on Sums of Consecutive Primes
by: Sorenson, Jonathan P., et al.
Published: (2025)

Explicit Bounds and Parallel Algorithms for Counting Multiply Gleeful Numbers
by: Moore, Sara, et al.
Published: (2025)

Tensor-based compression of the sea temperature data
by: Kosolapov, Ilya, et al.
Published: (2025)

Exact Computation of the Catalan Number $C(2,050,572,903)$
by: Ramani, Mahesh
Published: (2026)

Rigorous methods for computational number theory
by: de Boer, Koen, et al.
Published: (2025)

Asymptotic Semantic Collapse in Hierarchical Optimization
by: Alpay, Faruk, et al.
Published: (2026)

A simple and fast finite difference method for the integral fractional Laplacian of variable order
by: Hao, Zhaopeng, et al.
Published: (2024)

Invariant Manifolds of Discrete-time Dynamical Systems with Nonlinear Exosystems via Hybrid Physics-Informed Neural Networks
by: Patsatzis, Dimitrios G., et al.
Published: (2025)

Bounded Autonomy for Enterprise AI: Typed Action Contracts and Consumer-Side Execution
by: Sohail, Sarmad, et al.
Published: (2026)

New bounds in R.S. Lehman's estimates for the difference $π\left( x\right) -li\left( x\right) $
by: Revers, Michael
Published: (2025)

When Can Human-AI Teams Outperform Individuals? Tight Bounds with Impossibility Guarantees
by: Guo, Dongxin, et al.
Published: (2026)

Comparative Prime Number Theory Problem List
by: Hamieh, Alia, et al.
Published: (2024)

Approximation of higher-order powers of the spectral fractional Laplacian via polyharmonic extension
by: Otárola, Enrique, et al.
Published: (2026)

Deep Neural Networks with General Activations: Super-Convergence in Sobolev Norms
by: Yang, Yahong, et al.
Published: (2025)

One Policy, Infinite NPCs: Persona-Traceable Shared RL Policies for Scalable Game Agents
by: Hong, Yoosung
Published: (2026)

Reconstructing Trust Embeddings from Siamese Trust Scores: A Direct-Sum Approach with Fixed-Point Semantics
by: Alpay, Faruk, et al.
Published: (2025)

Numerical Approximation of the logarithmic Laplacian via sinc-basis
by: Dondl, Patrick, et al.
Published: (2025)

$ϕ^{\infty}$: Clause Purification, Embedding Realignment, and the Total Suppression of the Em Dash in Autoregressive Language Models
by: Kilictas, Bugra, et al.
Published: (2025)

Imbalance Prime Sieving: Every Prime Gap Is a Result of a Möbius Imbalance Obstruction
by: Bilokon, Paul Alexander
Published: (2025)

Neural Prime Sieves: Density-Driven Generalization and Empirical Evidence for Hardy-Littlewood Asymptotics
by: Kakkar, Manik
Published: (2026)

Reducing the Space Used by the Sieve of Eratosthenes When Factoring
by: Hartman, Samuel, et al.
Published: (2024)

The Evolution of Cryptography through Number Theory
by: Castro, Fernando Peralta
Published: (2024)

Universal Matrix Sparsifiers and Fast Deterministic Algorithms for Linear Algebra
by: Bhattacharjee, Rajarshi, et al.
Published: (2023)

Improved Spectral Density Estimation via Explicit and Implicit Deflation
by: Bhattacharjee, Rajarshi, et al.
Published: (2024)

N-Agent Ad Hoc Teamwork
by: Wang, Caroline, et al.
Published: (2024)

Idempotent Equilibrium Analysis of Hybrid Workflow Allocation: A Mathematical Schema for Future Work
by: Alpay, Faruk, et al.
Published: (2025)

On the mean values of the error terms in Mertens' theorems
by: Zhao, Tianyu
Published: (2024)

The Geometry of Thought: Disclosing the Transformer as a Tropical Polynomial Circuit
by: Alpay, Faruk, et al.
Published: (2026)

Stable and Convexified Information Bottleneck Optimization via Symbolic Continuation and Entropy-Regularized Trajectories
by: Alpay, Faruk
Published: (2025)

The Simplicial Geometry of Integer Partitions: An Exact $O(1)$ Formula via $A_{k-1}$ Root Systems
by: Bonelli, Antonio
Published: (2026)

Classic Round-Up Variant of Fast Unsigned Division by Constants: Algorithm and Full Proof
by: Li, Yifei
Published: (2024)

DUCTILE: Agentic LLM Orchestration of Engineering Analysis in Product Development Practice
by: Pradas-Gomez, Alejandro, et al.
Published: (2026)

Joint distributions of error terms for primes in arithmetic progressions modulo 11
by: Benli, Kübra, et al.
Published: (2025)

Enumeration of the Chebyshev-Frolov lattice points in axis-parallel boxes
by: Suzuki, Kosuke, et al.
Published: (2016)

Alpay Algebra V: Multi-Layered Semantic Games and Transfinite Fixed-Point Simulation
by: Kilictas, Bugra, et al.
Published: (2025)

Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings
by: Kilictas, Bugra, et al.
Published: (2025)

Manipulating Transformer-Based Models: Controllability, Steerability, and Robust Interventions
by: Alpay, Faruk, et al.
Published: (2025)

Primes of the form $ax+by$
by: Chen, Yong-Gao, et al.
Published: (2025)