From the 1 of 11 linked papers with an AI index.
6 papers · 1 filter
Parity of -differentials in genus zero and one
Dawei Chen, Evan Chen, Kenny Lau +2
Here we completely determine the spin parity of -differentials with prescribed zero and pole orders on Riemann surfaces of genus zero and one. This result was previously obtaine…
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…
Thakur's hypotheses on power sums of
Evan Chen, Ken Ono
In his 2009 paper, Thakur posed three conjectural hypotheses for the degrees of the power sums \[ S_d(k)=\sum_{\substack{a\in \mathbb F_q[t] \text{ monic}\\ °a=d}} a^{-k} \qquad\t…
ABC implies that Ramanujan's tau function misses almost all primes
David Kurniadi Angdinata, Evan Chen, Chris Cummins +21
Lehmer conjectured that Ramanujan's tau-function never vanishes. In a related direction, a folklore conjecture asserts that infinitely many primes arise as absolute values of Raman…
Almost all primes are partially regular
Evan Chen, Chris Cummins, Ben Eltschig +18
For odd primes , we let be the th cyclotomic field and let denote its Teichmuller character. For , we say that an odd prime is partia…
Semi-Lie arithmetic fundamental lemma for the full spherical Hecke algebra
Evan Chen
As an analog to the Jacquet-Rallis fundamental lemma that appears in the relative trace formula approach to the Gan-Gross-Prasad conjectures, the arithmetic fundamental lemma was p…