8 citations · 11 across the 19 of their papers we have counts for
4 papers · 1 filter
Shifts of the prime divisor function of Alladi and Erdős
Snehal Shekatkar, Tian An Wong
We introduce a variation on the prime divisor function of Alladi and Erdős, a close relative of the sum of proper divisors function . After proving some basic properti…
A note on mock automorphic forms and the BPS index
Tian An Wong
We discuss mock automorphic forms from the point of view of representation theory, that is, obtained from weak harmonic Maass forms give rise to nontrivial -cohom…
Heights of CM cycles and derivatives of L-series
Yara Elias, Tian An Wong
We extend the work of S. Zhang and Yuan-Zhang-Zhang to obtain a Gross-Zagier formula for modular forms of even weight in terms of an arithmetic intersection pairing of CM-cycles on…
Biases in prime factorizations and Liouville functions for arithmetic progressions
Peter Humphries, Snehal M. Shekatkar, Tian An Wong
We introduce a refinement of the classical Liouville function to primes in arithmetic progressions. Using this, we discover new biases in the appearances of primes in a given arith…