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## 1—10 of 62 matching pages

##### 1: 25.10 Zeros

##### 2: Viewing DLMF Interactive 3D Graphics

##### 3: Foreword

*NIST Digital Library of Mathematical Functions (DLMF)*, presents the same technical information along with extensions and innovative interactive features consistent with the new medium. … ►This could not have been done without the cooperation of many mathematicians, information technologists, and physical scientists both within NIST and externally. …

##### 4: Errata

In the paragraph immediately below (25.10.4), it was originally stated
that “more than one-third of all zeros in the critical strip lie on the
critical line.” which referred to Levinson (1974). This sentence
has been updated with “one-third” being replaced with “41%” now referring
to Bui et al. (2011) (*suggested by Gergő Nemes on 2021-08-23*).

In the online version, the leading divided difference operators were previously omitted from these formulas, due to programming error.

*Reported by Nico Temme on 2021-06-01*

Originally a minus sign was missing in the entries for $\mathrm{cd}u$ and $\mathrm{dc}u$ in the second column (headed $z+K+i{K}^{\prime}$). The correct entries are $-{k}^{-1}\mathrm{ns}z$ and $-k\mathrm{sn}z$. Note: These entries appear online but not in the published print edition. More specifically, Table 22.4.3 in the published print edition is restricted to the three Jacobian elliptic functions $\mathrm{sn},\mathrm{cn},\mathrm{dn}$, whereas Table 22.4.3 covers all 12 Jacobian elliptic functions.

$u$ | ||||||
---|---|---|---|---|---|---|

$z+K$ | $z+K+\mathrm{i}{K}^{\prime}$ | $z+\mathrm{i}{K}^{\prime}$ | $z+2K$ | $z+2K+2\mathrm{i}{K}^{\prime}$ | $z+2\mathrm{i}{K}^{\prime}$ | |

$\mathrm{\vdots}$ | ||||||

$\mathrm{cd}u$ | $-\mathrm{sn}z$ | $-{k}^{-1}\mathrm{ns}z$ | ${k}^{-1}\mathrm{dc}z$ | $-\mathrm{cd}z$ | $-\mathrm{cd}z$ | $\mathrm{cd}z$ |

$\mathrm{\vdots}$ | ||||||

$\mathrm{dc}u$ | $-\mathrm{ns}z$ | $-k\mathrm{sn}z$ | $k\mathrm{cd}z$ | $-\mathrm{dc}z$ | $-\mathrm{dc}z$ | $\mathrm{dc}z$ |

$\mathrm{\vdots}$ |

*Reported 2014-02-28 by Svante Janson.*

##### 5: Bibliography B

##### 6: Possible Errors in DLMF

##### 7: How to Cite

*permalinks*used online in the DLMF enables readers of either version to cite specific items and

*their*readers to easily look them up again — in either version! ►The following table outlines the correspondence between reference numbers as they appear in the Handbook, and the URL’s that find the same item online. …

##### 8: 3.12 Mathematical Constants

##### 9: DLMF Project News

*error generating summary*