000 01585nam a22003257a 4500
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005 20250728131149.0
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020 _a9789811212918
020 _a9798886131451 (pbk.)
_c$ 88.00
040 _bENG
_cIISER-BPR
_dIISER-BPR
041 _aENG
082 _a512.73
_bSHI
_223rd
100 _aSHI, Minjia
_95479
222 _aMathematics
245 _aCodes and modular forms :
_bA dictionary
250 _a1st Indian ed.
260 _aSingapore:
_bWorld Scientific Publishing Co. Pte. Ltd.,
_c2025.
300 _axiv, 217p. :
_c23cm.
504 _aIncludes references after every chapter.
520 _aThere 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.
650 _aMathematics
650 _aAlgebra
650 _aNumber theory
650 _aAnalytic number theory
700 _aChoie, Youngju
_95480
700 _aSharma, Anuradha
_95481
700 _aSolé, Patrick
_95482
942 _2ddc
_cBK
999 _c4266
_d4266