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These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops. The workshop and this volume are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields.

Number theory --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra

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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact

Science: general issues --- Psychology --- approximate number system --- Number Sense --- non-symbolic number acuity --- Numerical cognition --- Mathematics --- approximate number system --- Number Sense --- non-symbolic number acuity --- Numerical cognition --- Mathematics

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Computing and random numbers examines various aspects of random numbers and variablesincluding an extensive overview of Computing and random numbers. It includesImplementation of Hardware-Accelerated Scalable Parallel Random Number Generators,True-Randomness and Pseudo-Randomness in Ring Oscillator-Based True Random NumberGenerators, Random Route and Quota Sampling: Do They Offer Any Advantage overProbably Sampling Method and Fuzzy -Means and Cluster Ensemble with Random Projectionfor Big Data Clustering. It provides the reader with insights into the developmentof its history, so as to understand the social emotional optimization algorithm with randomemotional selection strategy, lymph diseases prediction using random forest and particleswarm optimization, challenges of internal and external variables of consumer behaviourtowards mobile.

Random number generators. --- Random number generators --- Computer programs.

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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact

approximate number system --- Number Sense --- non-symbolic number acuity --- Numerical cognition --- Mathematics

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This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic. It provides an overview of the conjecture and a few special cases where the conjecture is proved. The broad theme of the two conferences was “Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture”. The first was held at Beijing International Centre for Mathematical Research (BICMR) in December 2014 and the second was held at the International Centre for Theoretical Sciences (ICTS), Bangalore, India in December 2016. Providing a broad overview of the subject, the book is a valuable resource for young researchers wishing to work in this area. The articles have an extensive list of references to enable diligent researchers to gain an idea of the current state of art on this conjecture.

Number theory. --- Geometry, algebraic. --- Number Theory. --- Algebraic Geometry. --- Algebraic geometry --- Geometry --- Number study --- Numbers, Theory of --- Algebra --- Algebraic geometry.