irrationality measure
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On Irrationality Measure of Some Values of $\operatorname{arctg} \frac{1}{n}$

2020 ◽  
Vol 64 (12) ◽  
pp. 29-37
Author(s):  
V. Kh. Salikhov ◽  
M. G. Bashmakova
Keyword(s):  
Irrationality Measure

scholarly journals The irrationality measure of $\pi$ as seen through the eyes of cos($n$)

2020 ◽  
Vol 75 (4) ◽  
pp. 152-165
Author(s):  
Sully Chen ◽  
Erin P. J. Pearse
Keyword(s):  
Irrationality Measure

On the Irrationality Measure of ln 7

2020 ◽  
Vol 107 (3-4) ◽  
pp. 404-412
Author(s):  
I. V. Bondareva ◽  
M. Yu. Luchin ◽  
V. Kh. Salikhov
Keyword(s):  
Irrationality Measure

scholarly journals Hypergeometric rational approximations to ζ(4)

2020 ◽  
Vol 63 (2) ◽  
pp. 374-397
Author(s):  
Raffaele Marcovecchio ◽  
Wadim Zudilin
Keyword(s):  
Rational Approximations ◽  
The Novel ◽  
Irrationality Measure ◽  
Hypergeometric Integrals

AbstractWe give a new hypergeometric construction of rational approximations to ζ(4), which absorbs the earlier one from 2003 based on Bailey's 9F8 hypergeometric integrals. With the novel ingredients we are able to gain better control of the arithmetic and produce a record irrationality measure for ζ(4).

On irrationality measure of some values of arctg 1/n

2020 ◽  
pp. 32-40
Author(s):  
Vladislav Khasanovich Salikhov ◽  
◽  
Mariya Gennadievna Bashmakova ◽  
Keyword(s):  
Irrationality Measure

On Irrationality Measure of arctan $$\frac{1}{3}$$

2019 ◽  
Vol 63 (1) ◽  
pp. 61-66
Author(s):  
V. Kh. Salikhov ◽  
M. G. Bashmakova
Keyword(s):  
Irrationality Measure

scholarly journals On Irrationality Measure of arctan 1/3

2019 ◽  
pp. 69-75
Author(s):  
Vladislav Khasanovich Salikhov ◽  
◽  
Mariya Gennad'evna Bashmakova ◽  
Keyword(s):  
Irrationality Measure

scholarly journals On astimate of irrationality measure of the logariphms of some rational numbers

2019 ◽  
Vol 20 (4) ◽  
pp. 225-234
Author(s):  
Mikhail Yurevich Luchin ◽  
Vladislav Khasanovich Salikhov ◽  
Ekaterina Sergeevna Zolotukhina
Keyword(s):  
Rational Numbers ◽  
Irrationality Measure

scholarly journals On irrationality measure arctg 1/2

2019 ◽  
Vol 20 (4) ◽  
pp. 57-67
Author(s):  
Mariya Gennadievna Bashmakova ◽  
Vladislav Khasanovich Salikhov
Keyword(s):  
Irrationality Measure
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