81 citations · 142 across the 34 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.HO2023
Dubious Identities: A Visit to the Borwein Zoo
Zachary P. Bradshaw, Christophe Vignat
We contribute to the zoo of dubious identities established by J.M. and P.B. Borwein in their 1992 paper, "Strange Series and High Precision Fraud" with five new entries, each of a…
math.NT2023
Curious multisection identities by index factorization
C. Vignat, M. Milgram
This manuscript introduces a general multisection identity expressed equivalently in terms of infinite double products and/or infinite double series, from which several new product…
math.PR2023
Probabilistic aspects of Jacobi theta functions
Paavo Salminen, Christophe Vignat
In this note we deduce well known modular identities for Jacobi theta functions using the spectral representations associated with the real valued Brownian motion taking values on…