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Real and Complex Multiplication on K3 Surfaces via Period Integration
Experimental Mathematics, 2018We report on a new approach, as well as some related experiments, to construct families of K3 surfaces having real or complex multiplication. The approach is based on an explicit description of the transcendental part of the cohomology in a topological ...
A. Elsenhans, Jörg Jahnel
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Apéry-like numbers and families of newforms with complex multiplication
Research in Number Theory, 2018Using Hecke characters, we construct two infinite families of newforms with complex multiplication, one by $${\mathbb {Q}}(\sqrt{-3})$$Q(-3) and the other by $${\mathbb {Q}}(\sqrt{-2})$$Q(-2).
Alexis Gomez, D. McCarthy, Dylan C Young
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2005
In this chapter we present a method for finding a curve and the group order of its Jacobian which can be seen as complementary to those in Sections 17.2 and 17.3. Instead of trying several random curves over a fixed finite field until a good one is found and determining the group order by computing the characteristic polynomial of the Frobenius ...
Frey, G., Lange, T.
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In this chapter we present a method for finding a curve and the group order of its Jacobian which can be seen as complementary to those in Sections 17.2 and 17.3. Instead of trying several random curves over a fixed finite field until a good one is found and determining the group order by computing the characteristic polynomial of the Frobenius ...
Frey, G., Lange, T.
openaire +1 more source
Complex-valued matrix-vector multiplication using a scalable coherent photonic processor
Science AdvancesMatrix-vector multiplication is a fundamental operation in modern signal processing and artificial intelligence. Developing a chip-scale photonic matrix-vector multiplication processor (MVMP) offers the potential for notably enhanced computing speed and ...
Yiwei Xie +7 more
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