20 citations · 23 across the 9 of their papers we have counts for
10 papers
Four-digit Kaprekar dynamics in odd bases
Evan Chen, Ken Ono, Richard E. Schwartz +1
Start with four digits, arrange them in both descending and ascending order, subtract, and repeat. This simple process is known as the Kaprekar routine, famous in base ten for send…
Fermat-Wilson Supercongruences, arithmetic derivatives and strange factorizations
Dinesh S Thakur
In [Tha15], we looked at two (`multiplicative' and `Carlitz-Drinfeld additive') analogs each, for the well-known basic congruences of Fermat and Wilson, in the case of polynomials…
Expected Mordell-Weil rank heuristics through Sato-Tate, Birch and Swinnerton-Dyer conjectures
Dinesh S Thakur
We present an heuristic argument for the prediction of expected Mordell-Weil rank of elliptic curves over number fields, using Birch and Swinnerton-Dyer's original conjecture and S…
Zeta-like Multizeta Values for higher genus curves
José Alejandro Lara Rodríguez, Dinesh S. Thakur
We prove or conjecture several relations between the multizeta values for positive genus function fields of class number one, focusing on the zeta-like values, namely those whose r…
Surprising symmetries in distribution of prime polynomials
Dinesh S. Thakur
The primes or prime polynomials (over finite fields) are supposed to be distributed `irregularly' , despite nice asymptotic or average behavior. We provide some conjectures/guesses…
Multiplicative relations between coefficients of logarithmic derivatives of -linear functions and applications
José Alejandro Lara Rodríguez, Dinesh S. Thakur
We prove some interesting multiplicative relations which hold between the coefficients of the logarithmic derivatives obtained in a few simple ways from -linear forma…