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024 7 _a10.1007/978-981-97-6911-7
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050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
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072 7 _aPBH
_2thema
245 1 0 _aClass Groups of Number Fields and Related Topics
_h[electronic resource] :
_bICCGNERT 2021 and 2022, Kozhikode, India, October 21–24, 2021 and November 21–24, 2022 /
_cedited by Kalyan Chakraborty, Azizul Hoque, Prem Prakash Pandey.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aVIII, 246 p. 4 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Proceedings in Mathematics & Statistics,
_x2194-1017 ;
_v470
505 0 _aN. Fellini, Fermat Quotients and the Ankeny-Artin-Chowla Conjecture -- A. Togbe, Connections of Class Numbers to the Group Structure of Generalized Pythagorean Triples -- Chan-Ho Kim and Sujatha, On the Mod p Iwasawa Theory for Elliptic Curves -- K. Ono : The Partition Function Modulo -- J. Chatterjee, A Collage of Results on the Divisibility and Indivisibility of Class Numbers of Quadratic Fields -- A. Dujella, Triples, Quadruples And Quintuples Which are D(N)-Sets for Several N’s -- S. Das and A. Saikia, Congruent Numbers and Class Groups of Associated Quadratic Fields.
520 _aThis book collects original research papers and survey articles presented at two conferences on the same theme: the International Conference on Class Groups of Number Fields and Related Topics, held at Kerala School of Mathematics, Kozhikode, Kerala, India, from 21–24 October 2021 and then from 21–24 November 2022. It presents the fundamental research problems that arise in the study of class groups of number fields and related areas. The book also covers some new techniques and tools to study these problems. Topics in this book include class groups of number fields, units, Ankeny–Artin–Chowla conjecture, Iwasawa theory, elliptic curves, Diophantine equations, partition functions, Diophantine tuples, congruent numbers, Carmichael ideals in a number field and their connection with class groups. This book will be a valuable resource for graduate students and researchers in mathematics interested in class groups of number fields and their connections to other branches of mathematics. It also attracts new researchers to the field and young researchers will benefit immensely from the diverse problems discussed in this book. All the contributing authors are leading academicians, scientists and profound researchers. This book is dedicated to Prof. Michel Waldschmidt, a renowned French number theorist, on his 75th birthday.
650 0 _aNumber theory.
650 1 4 _aNumber Theory.
700 1 _aChakraborty, Kalyan.
_eeditor.
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_4http://id.loc.gov/vocabulary/relators/edt
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700 1 _aHoque, Azizul.
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700 1 _aPandey, Prem Prakash.
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
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830 0 _aSpringer Proceedings in Mathematics & Statistics,
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856 4 0 _uhttps://doi.org/10.1007/978-981-97-6911-7
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