The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions PDF Download
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Author: Valentin Blomer
Publisher: American Mathematical Society
ISBN: 1470456788
Category : Mathematics
Languages : en
Pages : 160
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Author: Valentin Blomer
Publisher: American Mathematical Society
ISBN: 1470456788
Category : Mathematics
Languages : en
Pages : 160
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Author: Emmanuel Kowalski
Publisher: Cambridge University Press
ISBN: 1108899560
Category : Mathematics
Languages : en
Pages : 271
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Book Description
Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deeper and better understood. Aimed at beginning graduate students, this textbook is the first to explain some of the most modern parts of the story. Such topics include the Chebychev bias, universality of the Riemann zeta function, exponential sums and the bewitching shapes known as Kloosterman paths. Emphasis is given throughout to probabilistic ideas in the arguments, not just the final statements, and the focus is on key examples over technicalities. The book develops probabilistic number theory from scratch, with short appendices summarizing the most important background results from number theory, analysis and probability, making it a readable and incisive introduction to this beautiful area of mathematics.
Author: Martin Herschend
Publisher: American Mathematical Society
ISBN: 1470456311
Category : Mathematics
Languages : en
Pages : 156
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Book Description
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Author: Sema Güntürkün
Publisher: American Mathematical Society
ISBN: 1470465469
Category : Mathematics
Languages : en
Pages : 148
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Author: James East
Publisher: American Mathematical Society
ISBN: 1470462699
Category : Mathematics
Languages : en
Pages : 144
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Author: Nobuhiro Honda
Publisher: American Mathematical Society
ISBN: 1470464128
Category : Mathematics
Languages : en
Pages : 148
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Author: Mohandas Pillai
Publisher: American Mathematical Society
ISBN: 1470459930
Category : Mathematics
Languages : en
Pages : 254
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Author: Narjess Afzaly
Publisher: American Mathematical Society
ISBN: 1470447126
Category : Mathematics
Languages : en
Pages : 94
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Author: Philipp Grohs
Publisher: American Mathematical Society
ISBN: 147045632X
Category : Mathematics
Languages : en
Pages : 106
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Author: Giao Ky Duong
Publisher: American Mathematical Society
ISBN: 1470461218
Category : Mathematics
Languages : en
Pages : 104
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Book Description
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