A paucity problem associated with a shifted integer analogue of the divisor function

DOI10.1016/j.jnt.2022.05.006zbMath1505.11125arXiv2108.00287OpenAlexW3191277493WikidataQ114156471 ScholiaQ114156471MaRDI QIDQ2079504

Yanyan Li

Publication date: 30 September 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.00287

zbMATH Keywords

divisor functionsshifted integerspaucity problems

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Counting solutions of Diophantine equations (11D45)

Related Items (2)

Moments of the Hurwitz zeta function on the critical line ⋮ THE PAUCITY PROBLEM FOR CERTAIN SYMMETRIC DIOPHANTINE EQUATIONS

Cites Work

• On the product of Hurwitz zeta-functions
• A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions
• Moments of Random Multiplicative Functions and Truncated Characteristic Polynomials
• A special case of Vinogradov's mean value theorem
• Moments of the Hurwitz zeta function on the critical line
• Paucity problems and some relatives of Vinogradov’s mean value theorem
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