2 papers
math.NT2025
On Galois representations associated to mod Hilbert modular forms
Fred Diamond, Shu Sasaki
We consider mod Hilbert modular forms for a totally real field , viewed as sections of automorphic line bundles on Hilbert modular varieties in prime characteristic . For…
math.NT2022
Values of zeta-one functions at positive even integers
Masato Kobayashi, Shunji Sasaki
Motivated by Euler-Goldbach and Shallit-Zikan theorems, we introduce zeta-one functions with infinite sums of as an analogy of the Riemann zeta function. Then we comput…