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Codes and Modular Forms: A Dictionary

SKU: 9789811212932

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Additional information

Full Title

Codes and Modular Forms: A Dictionary

Author(s)

Minjia Shi, Youngju Choie, Anuradha Sharma, Patrick Sole

Edition
ISBN

9789811212932, 9789811212918, 9789811212925

Publisher

World Scientific

Format

PDF and EPUB

Description

There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960’s. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules over some commutative rings. The connection between codes over finite fields and lattices has been well documented since the 1970s. Due to an avalanche of results on codes over rings since the 1990’s there is a need for an update at book level.