Scientific Research An Academic Publisher
OPEN ACCESS
Add your e-mail address to receive free newsletters from SCIRP.
Select Journal AA AAD AAR AASoci AAST ABB ABC ABCR ACES ACS ACT AD ADR AE AER AHS AID AiM AIT AJAC AJC AJCC AJCM AJIBM AJMB AJOR AJPS ALAMT ALC ALS AM AMI AMPC ANP APD APE APM ARS ARSci AS ASM BLR CC CE CellBio ChnStd CM CMB CN CRCM CS CSTA CUS CWEEE Detection EMAE ENG EPE ETSN FMAR FNS GEP GIS GM Graphene GSC Health IB ICA IIM IJAA IJAMSC IJCCE IJCM IJCNS IJG IJIDS IJIS IJMNTA IJMPCERO IJNM IJOC IJOHNS InfraMatics JACEN JAMP JASMI JBBS JBCPR JBiSE JBM JBNB JBPC JCC JCDSA JCPT JCT JDAIP JDM JEAS JECTC JEMAA JEP JFCMV JFRM JGIS JHEPGC JHRSS JIBTVA JILSA JIS JMF JMGBND JMMCE JMP JPEE JQIS JSBS JSEA JSEMAT JSIP JSS JSSM JST JTR JTST JTTs JWARP LCE MC ME MI MME MNSMS MPS MR MRC MRI MSA MSCE NJGC NM NR NS OALib OALibJ ODEM OJA OJAB OJAcct OJAnes OJAP OJApo OJAppS OJAPr OJAS OJBD OJBIPHY OJBM OJC OJCB OJCD OJCE OJCM OJD OJDer OJDM OJE OJEE OJEM OJEMD OJEpi OJER OJF OJFD OJG OJGas OJGen OJI OJIC OJIM OJINM OJL OJM OJMC OJMetal OJMH OJMI OJMIP OJML OJMM OJMN OJMP OJMS OJMSi OJN OJNeph OJO OJOG OJOGas OJOp OJOph OJOPM OJOTS OJPathology OJPC OJPChem OJPed OJPM OJPP OJPS OJPsych OJRA OJRad OJRD OJRM OJS OJSS OJSST OJST OJSTA OJTR OJTS OJU OJVM OPJ POS PP PST PSYCH SAR SCD SGRE SM SN SNL Soft SS TEL TI UOAJ VP WET WJA WJCD WJCMP WJCS WJET WJM WJNS WJNSE WJNST WJV WSN YM
More>>
Neuberger, J.W., Feiler, C., Maier, H. and Schleich, W.P. (2014) Newton Flow of the Riemann Zeta Function: Separatrices Control the Appearance of Zeros. New Journal of Physics, 16, Article ID: 103023. https://doi.org/10.1088/1367-2630/16/10/103023
has been cited by the following article:
TITLE: Common Properties of Riemann Zeta Function, Bessel Functions and Gauss Function Concerning Their Zeros
AUTHORS: Alfred Wünsche
KEYWORDS: Riemann Zeta and Xi Function, Modified Bessel Functions, Second Mean-Value Theorem or Gauss-Bonnet Theorem, Riemann Hypothesis
JOURNAL NAME: Advances in Pure Mathematics, Vol.9 No.3, March 29, 2019
ABSTRACT: The behavior of the zeros in finite Taylor series approximations of the Riemann Xi function (to the zeta function), of modified Bessel functions and of the Gaussian (bell) function is investigated and illustrated in the complex domain by pictures. It can be seen how the zeros in finite approximations approach to the genuine zeros in the transition to higher-order approximation and in case of the Gaussian (bell) function that they go with great uniformity to infinity in the complex plane. A limiting transition from the modified Bessel functions to a Gaussian function is discussed and represented in pictures. In an Appendix a new building stone to a full proof of the Riemann hypothesis using the Second mean-value theorem is presented.
Related Articles:
Fast Converging Series for Riemann Zeta Function
Hannu Olkkonen, Juuso T. Olkkonen
DOI: 10.4236/ojdm.2012.24025 3,804 Downloads 6,534 Views Citations
Pub. Date: November 1, 2012
Accelerated Series for Riemann Zeta Function at Odd Integer Arguments
Juuso T. Olkkonen, Hannu Olkkonen
DOI: 10.4236/ojdm.2013.31004 3,614 Downloads 5,950 Views Citations
Pub. Date: January 29, 2013
The Towering Zeta Function
Michael M. Anthony
DOI: 10.4236/apm.2016.65026 2,320 Downloads 3,197 Views Citations
Pub. Date: April 26, 2016
Elusive Zeros under Newton’s Method
Trevor M. O’Brien, Gareth E. Roberts
DOI: 10.4236/am.2014.515231 3,899 Downloads 4,371 Views Citations
Pub. Date: August 19, 2014
Editorial Article for the Journal of Microscopy Research
Marc Porti
DOI: 10.4236/mr.2013.12002 4,122 Downloads 9,276 Views Citations
Pub. Date: July 22, 2013
