The divisor problem for binary cubic forms

2010/06/17 by T. D. Browning, Browning, T. D. · 2 citations
Mathematics · #11N37 (11D25) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1006.3476

openalex publication_date 2010/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the average order of the divisor function at values of totally reducible binary cubic forms and discuss some applications.

Cited by

• Triple convolution sums of the generalised divisor functions and related sums over primes
• A triple convolution sum of the divisor function

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