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A Course in Arithmetic
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TLDR
In this article, the theorem on arithmetic progressions modular forms is proved for finite fields p-adic fields Hilbert symbol quadratic forms over Qp, and over Q integral quadratics forms with discriminant +-1.Abstract:
Part 1 Algebraic methods: finite fields p-adic fields Hilbert symbol quadratic forms over Qp, and over Q integral quadratic forms with discriminant +-1. Part 2 Analytic methods: the theorem on arithmetic progressions modular forms.read more
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Über den Beweis der Fermat-Vermutung II
TL;DR: Jurg Kramer as mentioned in this paper studierte Mathematik und Physik an der Universitat Basel; im Jahre 1985 promovierte er dort bei Martin Eichler uber Modulund Jacobiformen.
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Hardy-Littlewood system and representations of integers by an invariant polynomial
TL;DR: In this article, the authors define the notion of Hardy-Littlewood system for the sequence of invariant polynomials and show that the level sets of the sequence are Hardy-littlewood.
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On bipartite graphs of diameter 3 and defect 2
TL;DR: In this paper, the existence of bipartite (3, 3, -2)-graphs was shown to be non-trivial under the condition that either Δ or Δ-2 must be a perfect square.
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A framework for deterministic primality proving using elliptic curves with complex multiplication
TL;DR: This paper uses a framework for using elliptic curves with complex multiplication to determine the primality or compositeness of integers that lie in special sequences, in deterministic quasi-quadratic time to find large primes.
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Theta-series of even unimodular lattices
TL;DR: In this article, higher theta-series of even unimodular N -dimensional lattices are investigated and relations between the coefficients of the theta series for N = 24 and N = 32 are found.