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math.NT2026
The holonomic triangle: from a symmetry between and to additive Gamma functions
Benoit Cloitre
Two linear recurrences exhibit mirror symmetry connecting the constants and . When parametrized, their asymptotic connection constants extend to meromorphic functions satisf…
math.NT2025
An effective analytic recurrence for prime numbers
Benoit Cloitre
The Golomb--Keller formula expresses the next prime as a recurrence relation in terms of the first primes using the Riemann zeta function and an Eu…
math.NT2025
A BBP-type formula for the remainder of the Madhava-Gregory-Leibniz series
Benoit Cloitre
We derive a BBP-type formula for the remainder of the Madhava-Gregory-Leibniz series for . The result is a closed form in base- with Pochhammer denominators. The analogous f…