We revisit the modular flavor symmetry from a more general perspective. The scalar forms of principal congruence subgroups are extended to vector-valued forms, then we have possible finite groups including $\Gamma_N$ and $\Gamma'_N$ as symmetry. theory provide method differential equation construct multiplets, it also reveals simple structure invariant mass models. review give results for lower...

We give a new construction of p-adic overconvergent Hilbert modular forms by using Scholze’s perfectoid Shimura varieties at infinite level and the Hodge–Tate period map. The definition is analytic, closely resembling that complex as holomorphic functions satisfying transformation property under congruence subgroups. As special case, we first revisit case elliptic forms, extending recent work C...

This paper presents the Modular Workload Format (MWF), a proposal for extending widely accepted Standard (SWF) job scheduling evaluation. David Talby and Dror Feitelson proposed SWF in 1999, allowing to describe data center workload synthesized way. Its simplicity, representing each by single line text file including details make evaluation quite accurate, was part of its success. Using these y...

Modular exponentiation is one of the most important operations in public-key cryptosystems. A modular exponentiation is composed of repetition of modular multiplications. Again, the modular multiplication consists of a multi-precision multiplication and a modular reduction. Therefore, we can reduce the execution time of the modular exponentiation by two methods. One is to reduce the number of m...