Periodic minimum in the count of binomial coefficients not divisible by a prime
The summatory function of the number of binomial coefficients not divisible by a prime is known to exhibit regular periodic oscillations, yet identifying the less regularly behaved minimum of the underlying periodic functions has been open for almost all cases. We propose an approach to identify such minimum in some generality, solving particularly a previous conjecture of B. Wilson [Acta Arith. 83 (1998), 105–116].
Authors
- Hsien‐Kuei Hwang (ORCID: https://orcid.org/0000-0002-9410-6476)
- Tsung‐Hsi Tsai
- Svante Janson (ORCID: https://orcid.org/0000-0002-9680-2790)
Institutions
- Uppsala University (SE)
- Institute of Statistical Science, Academia Sinica (TW)
Publication Details
- Journal
- Mathematics of Computation
- Published
- 2025-06-16
- DOI
- https://doi.org/10.1090/mcom/4108
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Knut och Alice Wallenbergs Stiftelse
- Vetenskapsrådet
- Ministry of Science and Technology, Taiwan