Number theory

The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty.

This book, part of the series Contributions in Mathematical and Computational Sciences, reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics.

Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves.

In the more than 100 years since the fundamental group was first introduced by Henri Poincare it has evolved to play an important role in different areas of mathematics.

This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors' participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami.

This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors' participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami.

The distinctive compilation of topics in this text provides readers with a smooth and leisurely transition from basic number theory to graduate topics courses on the Langlands program.

The distinctive compilation of topics in this text provides readers with a smooth and leisurely transition from basic number theory to graduate topics courses on the Langlands program.

This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto.

This volume, as Andrew M.

This book constitutes the refereed proceedings of the 8th International Conference on Cryptology and Network Security, CANS 2009, held in Kanazawa, Japan, in December 2009.

This book constitutes the refereed proceedings of the 8th International Algorithmic Number Theory Symposium, ANTS 2008, held in Banff, Canada, in May 2008.

This monograph originates from a study of the continued fraction [1, 2, 3, .

This monograph originates from a study of the continued fraction [1, 2, 3, .

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The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives.

"e;Who would have thought a book on random numbers would be more than randomly interesting?

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes.

"e;Who would have thought a book on random numbers would be more than randomly interesting?

Beginnend mit einer ausführlichen Diskussion der Primfaktorzerlegung natürlicher Zahlen werden die grundlegenden algebraischen Strukturen, also Gruppen, Ringe und Körper, eingeführt und anhand von Beispielen veranschaulicht.

Beginnend mit einer ausführlichen Diskussion der Primfaktorzerlegung natürlicher Zahlen werden die grundlegenden algebraischen Strukturen, also Gruppen, Ringe und Körper, eingeführt und anhand von Beispielen veranschaulicht.

Zahlen faszinieren die Menschheit schon seit Jahrtausenden.

Dieses Lehrbuch führt auf prägnante und nachvollziehbare Art in die Abzähl- und Existenzprobleme der diskreten Mathematik ein.

Dieses Lehrbuch führt auf prägnante und nachvollziehbare Art in die Abzähl- und Existenzprobleme der diskreten Mathematik ein.

More Monthly Problem Gems is a sequel to Monthly Problem Gems (CRC Press, 2021).

More Monthly Problem Gems is a sequel to Monthly Problem Gems (CRC Press, 2021).

This book provides a hands-on approach to computer symbolic computation using the elementary commands of Python.

This book provides a hands-on approach to computer symbolic computation using the elementary commands of Python.

This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications.

This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications.

This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades.

This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades.

This book is a great treasure for everyone who enjoys the beauty of the fascinating world of recreational mathematics.

This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic.

This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic.

This book is the result of research initiatives formed during the workshop "e;Low Dimensional Topology and Number Theory XIII"e; at Kyushu University in 2022.

This proceedings volume, the sixth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 20th and 21st annual workshops, held in New York in 2022 (virtual) and 2023 (hybrid) respectively.

This proceedings volume, the sixth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 20th and 21st annual workshops, held in New York in 2022 (virtual) and 2023 (hybrid) respectively.

This book delves into the dynamic intersection of optimization and discrete mathematics, offering a comprehensive exploration of their applications in data sciences.

This book delves into the dynamic intersection of optimization and discrete mathematics, offering a comprehensive exploration of their applications in data sciences.

This book gathers carefully chosen selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries.

This book gathers carefully chosen selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries.

This 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.

This 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.

This book constitutes the refereed post-conference proceedings of the 4th International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2024, held in Szczecin, Poland, during June 24–26, 2024.

This book constitutes the refereed post-conference proceedings of the 4th International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2024, held in Szczecin, Poland, during June 24–26, 2024.

This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors.