1 citations · 4 across the 8 of their papers we have counts for
8 papers
Learning from Ramanujan: Elementary Approaches to Profound Ideas
Zachary P. Bradshaw, C. Vignat
We revisit several entries from Ramanujan's notebooks which follow from more elementary arguments than a first glance may suggest. Our goal is to demystify these results through mo…
A trigonometric approach to an identity by Ramanujan
C. Vignat
An identity by Ramanujan is expressed using polar coordinates, so that its proof reduces to the verification of an elementary trigonometric identity. This approach produces a few v…
Bernoulli and Euler Partitions
Thomas Curtright, Christophe Vignat
Exact rational partitions are presented for Bernoulli and Euler numbers as novel sums involving Faulhaber and Salié coefficients.
Scale Invariant Scattering in 2D
T. Curtright, C. Vignat
For a non-relativistic scale invariant system in two spatial dimensions, the quantum scattering amplitude is given as a dispersion relation, with a simple closed form for ${…
Non-Conventional Limits of Random Sequences Related to Partitions of Integers
J. Stoyanov, C. Vignat
We deal with a sequence of integer-valued random variables which is related to restricted partitions of positive integers. We observe that $Z_N=X_1+ \ldots…
Settling some sum suppositions
Tanay Wakhare, Christophe Vignat
We solve multiple conjectures by Byszewski and Ulas about the sum of base digits function. In order to do this, we develop general results about summations over the sum of digi…
Structural identities for generalized multiple zeta values
T. Wakhare, C. Vignat
There has been an avalanche of recent research on multiple zeta values. We propose dividing identities for multiple zeta values into structural and specific types. Structural ident…
A Continuous Analogue of Lattice Path Enumeration: Part II
T. Wakhare, C. Vignat
Here are exhibited some additional results about the continuous binomial coefficients as introduced by L. Cano and R. Diaz in [1].