Discrete Mean Estimates and the Landau-Siegel Zero

:::info Author: (1) Yitang Zhang. ::: Table of Links Abstract & Introduction Notation and outline of the proof The set Ψ1 Zeros of L(s, ψ)L(s, χψ) in Ω Some analytic lemmas Approximate formula for L(s, ψ) Mean value formula I Evaluation of Ξ11 Evaluation of Ξ12 Proof of Proposition 2.4 Proof of Proposition 2.6 Evaluation … Read more

Why Java Remains a Top Choice for Developers in 2024

Java is one of the world’s most well-known and widely used programming languages. Since its creation in 1995, it has maintained its popularity and significance despite the rapid development of technology and the emergence of new programming languages. Java is used to develop many mobile applications for large enterprise systems. Modern Capabilities of Java With … Read more

Syntax Error-Free and Generalizable Tool Use for LLMs: ToolDec Eliminates Syntax Errors

:::info Authors: (1) Kexun Zhang, UC Santa Barbara and Equal contribution; (2) Hongqiao Chen, Northwood High School and Equal contribution; (3) Lei Li, Carnegie Mellon University; (4) William Yang Wang,UC Santa Barbara. ::: Table of Links Abstract and Intro Related Work ToolDec: LLM Tool Use via Finite-State Decoding Experiment: ToolDec Eliminates Syntax Errors Experiment: ToolDec … Read more

Syntax Error-Free and Generalizable Tool Use for LLMs: Appendix

:::info Authors: (1) Kexun Zhang, UC Santa Barbara and Equal contribution; (2) Hongqiao Chen, Northwood High School and Equal contribution; (3) Lei Li, Carnegie Mellon University; (4) William Yang Wang,UC Santa Barbara. ::: Table of Links Abstract and Intro Related Work ToolDec: LLM Tool Use via Finite-State Decoding Experiment: ToolDec Eliminates Syntax Errors Experiment: ToolDec … Read more