Mathematics > Number Theory
[Submitted on 23 May 2018 (v1), last revised 27 Nov 2020 (this version, v5)]
Title:Proofs for two Lambert series identities of Gosper
View PDFAbstract:Applying the theory of modular forms and Lambert series manipulations we establish an Eisenstein series identity. From this formula we confirm a Lambert series identity conjectured by Gosper. Another Lambert series identity of Gosper is also confirmed by using Lambert series manipulations.
Submission history
From: Bing He [view email][v1] Wed, 23 May 2018 02:46:46 UTC (7 KB)
[v2] Sat, 11 Aug 2018 09:09:37 UTC (1 KB) (withdrawn)
[v3] Wed, 8 May 2019 07:54:33 UTC (1 KB) (withdrawn)
[v4] Sun, 16 Aug 2020 08:59:48 UTC (5 KB)
[v5] Fri, 27 Nov 2020 11:04:41 UTC (4 KB)
Current browse context:
math.NT
References & Citations
Bibliographic and Citation Tools
Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)
Code, Data and Media Associated with this Article
alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)
Demos
Recommenders and Search Tools
Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.