The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions

The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions PDF Author: Valentin Blomer
Publisher: American Mathematical Society
ISBN: 1470456788
Category : Mathematics
Languages : en
Pages : 160

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An Introduction to Probabilistic Number Theory

An Introduction to Probabilistic Number Theory PDF 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.

Representation Theory of Geigle-Lenzing Complete Intersections

Representation Theory of Geigle-Lenzing Complete Intersections PDF 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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The Representation Theory of the Increasing Monoid

The Representation Theory of the Increasing Monoid PDF Author: Sema Güntürkün
Publisher: American Mathematical Society
ISBN: 1470465469
Category : Mathematics
Languages : en
Pages : 148

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Congruence Lattices of Ideals in Categories and (Partial) Semigroups

Congruence Lattices of Ideals in Categories and (Partial) Semigroups PDF Author: James East
Publisher: American Mathematical Society
ISBN: 1470462699
Category : Mathematics
Languages : en
Pages : 144

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Twistors, Quartics,and del Pezzo Fibrations

Twistors, Quartics,and del Pezzo Fibrations PDF Author: Nobuhiro Honda
Publisher: American Mathematical Society
ISBN: 1470464128
Category : Mathematics
Languages : en
Pages : 148

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Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation

Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation PDF Author: Mohandas Pillai
Publisher: American Mathematical Society
ISBN: 1470459930
Category : Mathematics
Languages : en
Pages : 254

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The Classification of Subfactors with Index at Most $5 frac {1}{4}$

The Classification of Subfactors with Index at Most $5 frac {1}{4}$ PDF Author: Narjess Afzaly
Publisher: American Mathematical Society
ISBN: 1470447126
Category : Mathematics
Languages : en
Pages : 94

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A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations

A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations PDF Author: Philipp Grohs
Publisher: American Mathematical Society
ISBN: 147045632X
Category : Mathematics
Languages : en
Pages : 106

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Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters

Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters PDF 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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