Gertsch quotient living in the “poor man’s adele ring” A: Kurepa-Bell-Wilson congruence
Francis Atta Howard (University of Abomey-Calavi, Benin Republic)
| Sat Jul 18, 18:00-18:25 (8 days from now) | |
| Lecture held in Science Center in the CUNY Graduate Center (4th floor). |
Abstract: Wilson's theorem is related to left factorials, expressed as $K_p \equiv \mathbf{Bell}_{p-1} - 1 \pmod p$, for prime $p\geq3$. This study examines a Kurepa-Bell-Wilson congruence (KBW), $$\frac{K_p + 1}{p}\equiv \frac{ \mathbf{Bell}_{p-1}}{p}+ W_p \pmod{p},$$ and demonstrates that it naturally generates the non-zero "Gertsch quotient ($\mathbb{G}_p$)," which, for larger primes modulo $p$ resides in the poor man's adele ring $\mathcal{A}$.
number theory
Audience: researchers in the topic
Combinatorial and additive number theory seminar (CANT 2026)
| Organizer: | Mel Nathanson* |
| *contact for this listing |
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