On the congruences of Euler numbers and the differential coefficients of trigonometric functions with respect to a prime modulus. (Q1553120)
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scientific article; zbMATH DE number 2710868
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the congruences of Euler numbers and the differential coefficients of trigonometric functions with respect to a prime modulus. |
scientific article; zbMATH DE number 2710868 |
Statements
On the congruences of Euler numbers and the differential coefficients of trigonometric functions with respect to a prime modulus. (English)
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1878
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Die Euler'schen Zahlen, für welche die symbolische Gleichung \[ (E+1)^n +(E-1)^n=0 \] besteht, haben die Eigenschaften \[ E_{p-1}+E_{p-3}+E_{p-5}+ \cdots E_2+E_0\equiv 0 \quad \text{(mod. \(p\))} \] \[ E_{2n}\equiv E_{2n+k(p-1)} \quad \text{(mod. \(p\)).} \]
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Euler numbers
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