Shigeru Kanemitsu,Haruo Tsukada's Contributions to the Theory of Zeta-Functions:The Modular PDF

By Shigeru Kanemitsu,Haruo Tsukada

This quantity presents a scientific survey of just about all of the similar assertions to the sensible equations — zeta symmetry — which zeta-functions fulfill, therefore streamlining formerly released effects on zeta-functions. The identical kin are given within the type of modular family members in Fox H-function sequence, which at the moment comprise all which were regarded as applicants for components of a sequence. the implications are provided in a transparent and straightforward demeanour for readers to conveniently follow with out a lot wisdom of zeta-functions.

This quantity goals to maintain a checklist of the 150-year-old background ranging from Riemann on zeta-functions, that are ubiquitous in all mathematical sciences, anywhere there's a proposal of the norm. It offers just about all attainable similar relatives to the zeta-functions with out requiring a reader's deep wisdom on their definitions. this is often a terrific reference publication for these learning zeta-functions.

Show description

Read Online or Download Contributions to the Theory of Zeta-Functions:The Modular Relation Supremacy (Series on Number Theory and Its Applications) PDF

Best number theory books

Download e-book for kindle: Number Theory: An Introduction via the Distribution of by Benjamin Fine,Gerhard Rosenberger

This publication presents an advent and evaluate of quantity conception in accordance with the distribution and houses of primes. This new angle presents either an organization history within the usual fabric in addition to an outline of the entire self-discipline. all of the crucial subject matters are lined: basic theorem of mathematics, idea of congruences, quadratic reciprocity, mathematics capabilities, and the distribution of primes.

Mathematics of Aperiodic Order (Progress in Mathematics) by Johannes Kellendonk,Daniel Lenz,Jean Savinien PDF

What's order that isn't in keeping with basic repetition, that's, periodicity? How needs to atoms be prepared in a fabric in order that it diffracts like a quasicrystal? How will we describe aperiodically ordered structures mathematically? initially prompted through the – later Nobel prize-winning – discovery of quasicrystals, the research of aperiodic order has in view that turn into a well-established and quickly evolving box of mathematical learn with shut ties to a stunning number of branches of arithmetic and physics.

Get Die Wechselwirkung zwischen Zahlenrechnen und Zahlentheorie PDF

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer ebook information mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen.

Geometry, Analysis and Probability: In Honor of Jean-Michel by Jean-Benoît Bost,Helmut Hofer,François Labourie,Yves Le PDF

This quantity offers unique study articles and prolonged surveys relating to the mathematical curiosity and paintings of Jean-Michel Bismut. His notable contributions to chance concept and international research on manifolds have had a profound influence on a number of branches of arithmetic within the parts of keep watch over concept, mathematical physics and mathematics geometry.

Extra resources for Contributions to the Theory of Zeta-Functions:The Modular Relation Supremacy (Series on Number Theory and Its Applications)

Example text

Download PDF sample

Contributions to the Theory of Zeta-Functions:The Modular Relation Supremacy (Series on Number Theory and Its Applications) by Shigeru Kanemitsu,Haruo Tsukada

by Jeff

Rated 4.12 of 5 – based on 19 votes