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- Frazer Jarvis
- 1997

In this paper, we prove that, to any Hilbert cuspidal eigenform, one may attach a compatible system of Galois representations. This result extends the analogous results of Deligne and Deligne–Serre… (More)

In 1987 Serre conjectured that any mod l two-dimensional irreducible odd representation of the absolute Galois group of the rationals came from a modular form in a precise way. We present a… (More)

First, let us notice that Sudoku grids are simply special cases of Latin squares; remember that a Latin square of order n is an n×n square containing each of the digits 1, . . . , n in every row and… (More)

In some of these boxes, the setter puts some of the digits 1–9; the aim of the solver is to complete the grid by filling in a digit in every box in such a way that each row, each column, and each 3 ×… (More)

- Frazer Jarvis, Paul Meekin
- 2004

- Frazer Jarvis
- 1999

In this paper, we prove an analogue of the result known as Mazur’s Principle concerning optimal levels of mod ` Galois representations. The paper is divided into two parts. We begin with the study… (More)

In this short note, we develop the Stienstra-Beukers theory of supercongruences in the setting of the Catalan-Larcombe-French sequence. We also give some applications to other sequences. AMS Subject… (More)

- Frazer Jarvis
- 2000

In this paper, we give an elementary proof of a curious identity of elliptic functions. It is very similar to a beautiful proof given by Coates of a different identity. The result was strongly… (More)

We study generalisations to totally real fields of the methods originating with Wiles and Taylor-Wiles ([32], [31]). In view of the results of Skinner-Wiles [26] on elliptic curves with ordinary… (More)

- Frazer Jarvis
- 1999