Number Theory Research Group - Seminar Publications: Additional Data

Number Theory Research Group - Seminar Publications: Additional Data

Number Theory Research Group


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Seminar Publications: Additional Material

This page lists some material done by members of the seminar. In each table you can find the author and the description of the material. If you are looking for the seminar publications click here.

Author/s	Description	Sources
Luis Dieulefait, Nuno Freitas	Complementary computations to the paper Fermat-type Equations of signature (13,13,p) via Hilbert cusp forms. The files on the right contain two lists of Hilbert newforms and a list of primes in Q(\sqrt{13}). The newforms are defined over Q(\sqrt{13}), of parallel weight 2 and of levels 2^313 and 2^413. They are given by the minimal polynomials of their Fourier coefficients corresponding (in the same order) to the primes listed in the file primes.txt. These computations were performed by John Voight.	primes.txt 23new.txt 24new.txt
Nuno Freitas	Complementary computations to the paper Recipes to Fermat-type Equations of the form x^r +y^r = Cz^p. Let K=Q(z) be the totally real cubic subfield of the cyclotomic field Q(\zeta_7). The generator z satisfies z^3 - z^2 - 2z + 1 = 0. Denote by pp7 the prime in K above 7. The files on the right have the following content: pps.out -- a list of pairs < Norm, Generator > corresponding to prime ideals in K. For each pair, the first entry is the norm of the ideal generated by the element in the second entry. new2437.out -- all the Hilbert newforms defined over K, having rational coefficients, of parallel weight 2, trivial character and level 2^43pp7 new23372.out -- all the Hilbert newforms defined over K, having rational coefficients, of parallel weight 2, trivial character and level 2^33pp7^2 The newforms are given by their Fourier coefficients corresponding (in the same order) to the primes listed in the file pps.out. These computations were performed by John Voight.	pps.out new2437.out new23372.out


	© Universitat de Barcelona	Edició: Seminari de Teoria de Nombres Última actualització o validació: 30.06.2010