Transcendental values of the digamma function

M. Ram Murty, N. Saradha

Type: Article

Publication Date: 2007-01-23

Citations: 74

DOI: https://doi.org/10.1016/j.jnt.2006.09.017

View Publication

Locations

Journal of Number Theory - View
CiteSeer X (The Pennsylvania State University) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Transcendental values of the p-adic digamma function	2008	M. Ram Murty N. Saradha
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-Extensions of some estimates associated with the digamma function	2013	Necdet Batır
+	Transcendence for sums of trigonometric and digamma functions and explicit values for their $q$-analogues	2018	Mohamed El Bachraoui József Sándor
+	Transcendental nature of p-adic digamma values	2024	Tapas Chatterjee Sonam Garg
+	Euler-Mascheroni constant and gamma function near its singularities	2013	Andrei Vieru
+	Euler, D’Alembert and the Logarithm Function	2007	Robert E. Bradley
+ PDF Chat	Transcendental nature of $p$-adic digamma values	2024	Tapas Chatterjee Sonam Garg
+	Rational approximations for values of the digamma function and a denominators conjecture	2010	Khodabakhsh Hessami Pilehrood Tatiana Hessami Pilehrood
+	Logarithmically completely monotonic functions concerning gamma and digamma functions	2007	Feng Qi Shouxin Chen Wing‐Sum Cheung
+ PDF Chat	The digamma function, Euler–Lehmer constants and their p-adic counterparts	2014	Tapas Chatterjee Sanoli Gun
+	Irrationality of Zeros of the Digamma Function	2023	M. Ram Murty
+	Determination of some generalised Euler sums involving the digamma function	2008	Donal F. Connon
+	Analytic computation of digamma function using some new identities	2020	Mohammad Idris Qureshi Mohd Shadab
+	Rational approximations to values of the digamma function and a conjecture on denominators	2011	Tatiana Hessami Pilehrood Kh. Hessami Pilehrood
+	Completely monotonic degree of a function involving trigamma and tetragamma functions	2020	Feng Qi
+	On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials	2019	Uğur Duran Mehmet Açíkgöz
+	Correction: On the positivity of a certain function related with the Digamma function	2025	K. Castillo
+	Transcendence of the log gamma function and some discrete periods	2009	Sanoli Gun M. Ram Murty Purusottam Rath
+	The Digamma Function ψ(v)	2008	Keith B. Oldham Jan C. Myland Jerome Spanier
+	Inequalities involving gamma and digamma functions	2014	Horst Alzer Chao-Ping Chen

Works That Cite This (73)

Action	Title	Year	Authors
+ PDF Chat	OKADA'S THEOREM AND MULTIPLE DIRICHLET SERIES	2020	Yoshinori Hamahata
+ PDF Chat	On $p$-adic Euler constants	2020	Abhishek Bharadwaj
+	Baker’s Theorems and Applications	2020	N. Saradha R. Thangadurai
+ PDF Chat	Some new sums of q-trigonometric and related functions through a theta product of Jacobi	2020	Mohamed El Bachraoui József Sándor
+	Analytic computation of digamma function using some new identities	2020	Mohammad Idris Qureshi Mohd Shadab
+	Erdősian functions and an identity of Gauss	2019	Tapas Chatterjee Suraj Singh Khurana
+	A short note on generalized Euler–Briggs constants	2019	Abhishek Bharadwaj
+ PDF Chat	Linear independence of harmonic numbers over the field of algebraic numbers	2019	Tapas Chatterjee Sonika Dhillon
+ PDF Chat	Distribution and non-vanishing of special values of L-series attached to Erdős functions	2019	Siddhi Pathak
+	E-sequences and the Stone–Weierstrass Theorem	2012	Lee Klingler M. Victoria Marshall

Works Cited by This (18)

Action	Title	Year	Authors
+	Zur Theorie der Abelschen Funktionen und Integrale.	1941	Theodor Schneider
+ PDF Chat	Introduction to Analytic Number Theory	1976	Tom M. Apostol
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington
+ PDF Chat	Transcendental Number Theory	1975	A. Baker
+ PDF Chat	Transcendence of Periods: The State of the Art	2006	Michel Waldschmidt
+	Modular functions and transcendence questions	1996	Yu. V. Nesterenko
+ PDF Chat	Euler constants for arithmetic progressions	1975	D. Lehmer
+	Algebraic independence of the periods of abelian integrals	1996	K. G. Vasil'ev
+	The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation	1970	S. Chowla
+	On a problem of Chowla	1973	A. Baker B. J. Birch Eduard Wirsing