Jonathan Sondow

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Disproof of the Riemann Hypothesis	2021	Jonathan Sondow Cristian Dumitrescu Marek Wolf
+	The Disproof of the Riemann Hypothesis	2021	Jonathan Sondow Cristian Dumitrescu Marek Wolf
+ PDF Chat	Irrationality and Transcendence of Alternating Series via Continued Fractions	2021	Jonathan Sondow
+	Irrationality and Transcendence of Alternating Series Via Continued Fractions	2020	Jonathan Sondow
+	Irrationality and Transcendence of Alternating Series Via Continued Fractions	2020	Jonathan Sondow
+	Hypergeometry of the Parbelos	2019	John M. Campbell Jacopo D’Aurizio Jonathan Sondow
+ PDF Chat	Incompatibility between Riemann's Hypothesis and universality of Riemann's Zeta function	2019	Jonathan Sondow Cristian Dumitrescu
+	On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier–Legendre expansions	2019	John M. Campbell Jacopo D’Aurizio Jonathan Sondow
+	On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-$p$ digits	2019	Bernd C. Kellner Jonathan Sondow
+	Newton Quadrilaterals, the Associated Cubic Equations, and Their Rational Solutions	2019	Mowaffaq Hajja Jonathan Sondow
+	On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-$p$ digits	2019	Bernd C. Kellner Jonathan Sondow
+	Lorentz Stöer's <i>Geometria et Perspectiva</i>	2018	Jonathan Sondow
+	Extending Babbage's (Non-)Primality Tests	2018	Jonathan Sondow
+	On the interplay between hypergeometric functions, complete elliptic integrals and Fourier-Legendre series expansions	2017	John M. Campbell Jacopo D’Aurizio Jonathan Sondow
+	The denominators of power sums of arithmetic progressions	2017	Bernd C. Kellner Jonathan Sondow
+	The Denominators of Power Sums of Arithmetic Progressions.	2017	Bernd C. Kellner Jonathan Sondow
+	Initial Sums of the Legendre Symbol: Is $$\min + \max \ge 0$$ ?	2017	Kieren MacMillan Jonathan Sondow
+ PDF Chat	Extending Babbage’s (Non-)Primality Tests	2017	Jonathan Sondow
+ PDF Chat	Power-Sum Denominators	2017	Bernd C. Kellner Jonathan Sondow
+ PDF Chat	Primary Pseudoperfect Numbers, Arithmetic Progressions, and the Erdős-Moser Equation	2017	Jonathan Sondow Kieren MacMillan
+	On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier-Legendre expansions	2017	John M. Campbell Jacopo D’Aurizio Jonathan Sondow
+	The denominators of power sums of arithmetic progressions	2017	Bernd C. Kellner Jonathan Sondow
+ PDF Chat	Summation of Rational Series Twisted by Strongly $B$-multiplicative Coefficients	2015	Jean‐Paul Allouche Jonathan Sondow
+	A Geometric Proof that e is Irrational and a New Measure of its Irrationality	2014	Jonathan Sondow
+ PDF Chat	On the congruence $$1^m + 2^m + \cdots + m^m\equiv n \pmod {m}$$ 1 m + 2 m + ⋯ + m m ≡ n ( mod m ) with $$n\mid m$$ n ∣ m	2014	J. M. Grau Antonio M. Oller‐Marcén Jonathan Sondow
+ PDF Chat	Gauss and the Eccentric Halsted	2014	Jonathan Sondow
+	Summation of rational series twisted by strongly B-multiplicative coefficients	2014	Jean‐Paul Allouche Jonathan Sondow
+	The $p$-adic Order of Power Sums, the Erdös-Moser Equation, and Bernoulli Numbers	2014	Jonathan Sondow Emmanuel Tsukerman
+ PDF Chat	Ramanujan, Robin, highly composite numbers, and the Riemann Hypothesis	2014	Jean-Louis Nicolas Jonathan Sondow
+ PDF Chat	Generalized Ramanujan Primes	2014	Nadine Amersi Olivia Beckwith Steven J. Miller Ryan Ronan Jonathan Sondow
+ PDF Chat	Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-Non-Wilson Primes 2, 3, 14771	2014	Jonathan Sondow
+	Ramanujan, Robin, Highly Composite Numbers, and the Riemann Hypothesispublié dans "Contempory Mathematics", vol. 627, 2014, 145--156	2014	Jean-Louis Nicolas Jonathan Sondow
+ PDF Chat	From the <em>Monthly</em> Over 100 Years Ago…	2014	Jonathan Sondow
+	On the congruence $1^n + 2^n + ... + n^n \equiv d$ (mod $n$) with $d \| n$	2013	J. M. Grau Antonio M. Oller‐Marcén Jonathan Sondow
+	On the congruence $1^n + 2^n +... + n^n\equiv d$ (mod $n$), where $d$ divides $n$	2013	J. M. Grau Antonio M. Oller‐Marcén Jonathan Sondow
+	The Parbelos, a Parabolic Analog of the Arbelos	2013	Jonathan Sondow
+	The Schanuel Subset Conjecture implies Gelfond's Power Tower Conjecture	2012	Diego Marques Jonathan Sondow
+	Ramanujan, Robin, the Riemann Hypothesis, and Recent Results	2012	Jean-Louis Nicolas Jonathan Sondow
+ PDF Chat	Divisibility of power sums and the generalized Erdős–Moser equation	2012	Kieren MacMillan Jonathan Sondow
+ PDF Chat	On SA, CA, and GA numbers	2012	Geoffrey Caveney Jean-Louis Nicolas Jonathan Sondow
+ PDF Chat	A simple counterexample to Havil’s “reformulation” of the Riemann Hypothesis	2012	Jonathan Sondow
+ PDF Chat	Rebuttal of Kowalenko’s Paper As Concerns the Irrationality of Euler’s Constant γ	2012	Mark W. Coffey Jonathan Sondow
+	The parbelos, a parabolic analog of the arbelos	2012	Jonathan Sondow
+	The Schanuel Subset Conjecture implies Gelfond's Power Tower Conjecture	2012	Diego Marques Jonathan Sondow
+	Ramanujan, Robin, Highly Composite Numbers, and the Riemann Hypothesis	2012	Jean-Louis Nicolas Jonathan Sondow
+	Robin's theorem, primes, and a new elementary reformulation of the Riemann Hypothesis	2011	Geoffrey Caveney Jean-Louis Nicolas Jonathan Sondow
+	Ramanujan Primes: Bounds, Runs, Twins, and Gaps	2011	Jonathan Sondow John William Nicholson Tony D. Noe
+	Ramanujan Primes: Bounds, Runs, Twins, and Gaps	2011	Jonathan Sondow John William Nicholson Tony D. Noe
+ PDF Chat	Evaluation of Tachiya’s algebraic infinite products involving Fibonacci and Lucas numbers	2011	Jonathan Sondow Masaaki Amou Masanori Katsurada
+	Proofs of Power Sum and Binomial Coefficient Congruences Via Pascal’s Identity	2011	Kieren MacMillan Jonathan Sondow
+ PDF Chat	Robin's Theorem, Primes, and a New Elementary Reformulation of the Riemann Hypothesis	2011	Geoffrey Caveney Jean-Louis Nicolas Jonathan Sondow
+ PDF Chat	Reducing the Erdős–Moser Equation 1 n + 2 n + ⋯ + kn = (k + 1) n Modulo k and k 2	2011	Jonathan Sondow Kieren MacMillan
+	Robin's theorem, primes, and a new elementary reformulation of the Riemann Hypothesis	2011	Geoffrey Caveney Jean-Louis Nicolas Jonathan Sondow
+	Algebraic and transcendental solutions of some exponential equations	2011	Jonathan Sondow Diego Marques
+	Ramanujan Primes: Bounds, Runs, Twins, and Gaps	2011	Jonathan Sondow John W. Nicholson Tony D. Noe
+	Generalized Ramanujan Primes	2011	Nadine Amersi Olivia Beckwith Steven J. Miller Ryan Ronan Jonathan Sondow
+	Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-non-Wilson Primes 2, 3, 14771	2011	Jonathan Sondow
+	Reducing the Erdos-Moser equation 1^n + 2^n + . . . + k^n = (k+1)^n modulo k and k^2	2010	Jonathan Sondow Kieren MacMillan
+	Proofs of power sum and binomial coefficient congruences via Pascal's identity	2010	Kieren MacMillan Jonathan Sondow
+	Divisibility of Power Sums and the Generalized Erdos-Moser Equation	2010	Kieren MacMillan Jonathan Sondow
+	New Wallis- and Catalan-Type Infinite Products for $\pi, e$, and $\sqrt{2+\sqrt2}$	2010	Jonathan Sondow Yi C. Huang
+ PDF Chat	A monotonicity property of Riemann’s xi function and a reformulation of the Riemann hypothesis	2010	Jonathan Sondow Cristian Dumitrescu
+	New Vacca-Type Rational Series for Euler’s Constant γ and Its “Alternating” Analog $$\ln \frac{4}{\pi }$$	2010	Jonathan Sondow
+	Schanuel's conjecture and algebraic powers z^w and w^z with z and w transcendental	2010	Diego Marques Jonathan Sondow
+	Algebraic and transcendental solutions of some exponential equations	2010	Jonathan Sondow Diego Marques
+	New Wallis- and Catalan-Type Infinite Products for α, <em>e</em> and	2010	Jonathan Sondow Yi C. Huang
+ PDF Chat	Which partial sums of the Taylor series for 𝑒 are convergents to 𝑒? (and a link to the primes 2, 5, 13, 37, 463). Part II	2010	Jonathan Sondow Kyle Schalm
+	Proofs of power sum and binomial coefficient congruences via Pascal's identity	2010	Kieren MacMillan Jonathan Sondow
+	Divisibility of Power Sums and the Generalized Erdos-Moser Equation	2010	Kieren MacMillan Jonathan Sondow
+	Reducing the Erdos-Moser equation 1^n + 2^n + . . . + k^n = (k+1)^n modulo k and k^2	2010	Jonathan Sondow Kieren MacMillan
+	New Wallis- and Catalan-Type Infinite Products for $π, e$, and $\sqrt{2+\sqrt2}$	2010	Jonathan Sondow Yi C. Huang
+ PDF Chat	Ramanujan Primes and Bertrand's Postulate	2009	Jonathan Sondow
+ PDF Chat	Ramanujan Primes and Bertrand's Postulate	2009	Jonathan Sondow
+ PDF Chat	A hypergeometric approach, via linear forms involving logarithms, to criteria for irrationality of Euler’s constant	2009	Jonathan Sondow Sergey Alekseevich Zlobin
+	Ramanujan Primes and Bertrand's Postulate	2009	Jonathan Sondow
+ PDF Chat	“Integrals over Polytopes, Multiple Zeta Values and Polylogarithms, and Euler’s Constant”	2008	Jonathan Sondow S. A. Zlobin
+ PDF Chat	Integrals over polytopes, multiple zeta values and polylogarithms, and Euler’s constant	2008	Jonathan Sondow S. A. Zlobin
+	Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent	2008	Jesús Guillera Jonathan Sondow
+ PDF Chat	Интегралы по многогранникам, кратные дзета значения и полилогарифмы, и константа Эйлера	2008	Дж Сондоу Jonathan Sondow S. A. Zlobin Sergey Alekseevich Zlobin
+ PDF Chat	Which partial sums of the Taylor series for 𝑒 are convergents to 𝑒? (and a link to the primes 2, 5, 13, 37, 463)	2008	Jonathan Sondow Kyle Schalm
+	Infinite products with strongly $B$-multiplicative exponents	2007	Jean‐Paul Allouche Jonathan Sondow
+	Which Partial Sums of the Taylor Series for e are Convergents to e? (and a Link to the Primes 2, 5, 13, 37, 463, ...) with an Appendix by Kyle Schalm	2007	Jonathan Sondow
+	A Simple Counterexample to Havil's "Reformulation" of the Riemann Hypothesis	2007	Jonathan Sondow
+	Primes, Pi, and Irrationality Measure	2007	Jonathan Sondow
+	Which Partial Sums of the Taylor Series for $e$ are Convergents to $e$? (and a Link to the Primes 2, 5, 13, 37, 463), II	2007	Jonathan Sondow Kyle Schalm
+	Infinite products with strongly $B$-multiplicative exponents	2007	Jean‐Paul Allouche Jonathan Sondow
+	A geometric proof that $e$ is irrational and a new measure of its irrationality	2007	Jonathan Sondow
+	A Simple Counterexample to Havil's "Reformulation" of the Riemann Hypothesis	2007	Jonathan Sondow
+ PDF Chat	The generalized-Euler-constant function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>γ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and a generalization of Somos's quadratic recurrence constant	2006	Jonathan Sondow Petros Hadjicostas
+ PDF Chat	Euler’s constant, q-logarithms, and formulas of Ramanujan and Gosper	2006	Jonathan Sondow Wadim Zudilin
+ PDF Chat	Summation of series defined by counting blocks of digits	2006	Jean‐Paul Allouche Jeffrey Shallit Jonathan Sondow
+ PDF Chat	A Geometric Proof That <i>e</i> Is Irrational and a New Measure of Its Irrationality	2006	Jonathan Sondow
+ PDF Chat	A Geometric Proof that 𝑒 Is Irrational and a New Measure of Its Irrationality	2006	Jonathan Sondow
+	Euler’s constant, q-logarithms, and formulas of Ramanujan and Gosper \| NOVA. The University of Newcastle's Digital Repository	2006	Jonathan Sondow Wadim Zudilin
+	A Faster Product for π and a New Integral for In	2005	Jonathan Sondow
+	A Faster Product for $\pi$ and a New Integral for ln $\frac{\pi}{2}$	2005	Jonathan Sondow
+	An Identity Involving Harmonic Numbers: 11026	2005	Jonathan Sondow Richard Stong Julien Grivaux
+	Double Integrals for Euler's Constant and In and an Analog of Hadjicostas's Formula	2005	Jonathan Sondow
+	Double Integrals for Euler's Constant and in $\frac{4}{\pi}$ and an Analog of Hadjicostas's Formula	2005	Jonathan Sondow
+	New Vacca-Type Rational Series for Euler's Constant and Its "Alternating" Analog ln(4/Pi)	2005	Jonathan Sondow
+	Irrationality Measures, Irrationality Bases, and a Theorem of Jarnik	2004	Jonathan Sondow
+	A Faster Product for Pi and a New Integral for ln(Pi/2)	2004	Jonathan Sondow
+	Zeros of the Alternating Zeta Function on the Line ℝ(<i>s</i>) = 1	2003	Jonathan Sondow
+ PDF Chat	Zeros of the Alternating Zeta Function on the Line R(S) = 1	2003	Jonathan Sondow
+	Criteria for irrationality of Euler’s constant	2003	Jonathan Sondow
+	An irrationality measure for Liouville numbers and conditional measures for Euler's constant	2003	Jonathan Sondow
+	An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma	2003	Jonathan Sondow
+	Double Integrals for Euler's Constant and ln(4/Pi)	2002	Jonathan Sondow
+	Formulas for pi(n) and the n-th prime	2002	Sebastián Martín Ruiz Jonathan Sondow
+	A Hypergeometric Approach, Via Linear Forms Involving Logarithms, to Irrationality Criteria for Euler's Constant	2002	Jonathan Sondow Sergey Alekseevich Zlobin
+	Criteria for Irrationality of Euler's Constant	2002	Jonathan Sondow
+	Double Integrals for Euler's Constant and ln(4/Pi) and an Analog of Hadjicostas's Formula	2002	Jonathan Sondow
+	Formulas for pi(n) and the n-th prime	2002	Sebastián Martín Ruiz Jonathan Sondow
+	Zeros of the alternating zeta function on the line R(s)=1	2002	Jonathan Sondow
+	An Antisymmetric Formula for Euler's Constant	1998	Jonathan Sondow
+	An Antisymmetric Formula for Euler's Constant	1998	Jonathan Sondow
+ PDF Chat	The Riemann Hypothesis, simple zeros and the asymptotic convergence degree of improper Riemann sums	1998	Jonathan Sondow
+ PDF Chat	Analytic Continuation of Riemann's Zeta Function and Values at Negative Integers Via Euler's Transformation of Series	1994	Jonathan Sondow
+ PDF Chat	Analytic continuation of Riemann’s zeta function and values at negative integers via Euler’s transformation of series	1994	Jonathan Sondow
+	Triviality of the involution on SK1 for periodic groups	1985	Jonathan Sondow
+ PDF Chat	Nonlinear smooth representations of compact Lie groups	1979	Melvin Rothenberg Jonathan Sondow
+ PDF Chat	Fixed Points of Anosov Maps of Certain Manifolds	1976	Jonathan Sondow
+ PDF Chat	Fixed points of Anosov maps of certain manifolds	1976	Jonathan Sondow
+ PDF Chat	When is a manifold a leaf of some foliation?	1975	Jonathan Sondow
+	The Godbillon-Vey Invariant of a Product Foliation is Zero††AMS (MOS) 1970 SUBJECT CLASSIFICATION: 57D36.	1973	Jonathan Sondow
+	Some homeomorphic sphere pairs that are combinatorially distinct	1966	L. C. Siebenmann Jonathan Sondow
+	Disproof of the hauptvermutung for manifold pairs	1965	Jonathan Sondow

Common Coauthors

Coauthor	Papers Together
Kieren MacMillan	11
Jean-Louis Nicolas	8
Bernd C. Kellner	6
Jean‐Paul Allouche	5
Diego Marques	5
Geoffrey Caveney	4
Cristian Dumitrescu	4
Jacopo D’Aurizio	4
Sergey Alekseevich Zlobin	3
Kyle Schalm	3
S. A. Zlobin	3
John M. Campbell	3
Tony D. Noe	3
Antonio M. Oller‐Marcén	3
Yi C. Huang	3
J. M. Grau	3
Marek Wolf	2
Ryan Ronan	2
Sebastián Martín Ruiz	2
Nadine Amersi	2
Wadim Zudilin	2
John William Nicholson	2
Steven J. Miller	2
Olivia Beckwith	2
L. C. Siebenmann	1
Jesús Guillera	1
Mark W. Coffey	1
Дж Сондоу	1
Melvin Rothenberg	1
Emmanuel Tsukerman	1
Masaaki Amou	1
Julien Grivaux	1
Mowaffaq Hajja	1
John W. Nicholson	1
Jeffrey Shallit	1
Richard Stong	1
Masanori Katsurada	1
Petros Hadjicostas	1
John M. Campbell	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Criteria for irrationality of Euler’s constant	2003	Jonathan Sondow	13
+	A Note on the Irrationality of ζ(2) and ζ(3)	1979	Frits Beukers	10
+ PDF Chat	The On-Line Encyclopedia of Integer Sequences	2007	N. J. A. Sloane	10
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	9
+	Double Integrals for Euler's Constant and In and an Analog of Hadjicostas's Formula	2005	Jonathan Sondow	9
+	A Faster Product for π and a New Integral for In	2005	Jonathan Sondow	9
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	8
+	Similarities in irrationality proofs for π, ln 2, ζ(2), and ζ(3) (2001)	2016	Dirk Huylebrouck	7
+	Polylogarithms and Associated Functions	1981	L. Lewin	6
+ PDF Chat	Unsolved Problems in Number Theory	1994	Richard K. Guy	6
+	A Faster Product for $\pi$ and a New Integral for ln $\frac{\pi}{2}$	2005	Jonathan Sondow	6
+ PDF Chat	A Top Hat for Moser’s Four Mathemagical Rabbits	2011	Pieter Moree	5
+ PDF Chat	The generalized-Euler-constant function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>γ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and a generalization of Somos's quadratic recurrence constant	2006	Jonathan Sondow Petros Hadjicostas	5
+	Riemann's Zeta Function	1974	Harold M. Edwards	5
+	Theory and Application of Infinite Series	1972	Konrad Knopp	5
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	5
+ PDF Chat	Analytic continuation of Riemann’s zeta function and values at negative integers via Euler’s transformation of series	1994	Jonathan Sondow	5
+ PDF Chat	ON A CONJECTURE ON RAMANUJAN PRIMES	2010	Shanta Laishram	5
+	Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent	2008	Jesús Guillera Jonathan Sondow	5
+ PDF Chat	Euler’s constant, q-logarithms, and formulas of Ramanujan and Gosper	2006	Jonathan Sondow Wadim Zudilin	4
+ PDF Chat	Random Recursive Trees and the Bolthausen-Sznitman Coalesent	2005	Christina Goldschmidt James Martin	4
+	A few remarks on ζ(3)	1996	Yu. V. Nesterenko	4
+ PDF Chat	Some asymptotic expressions in the theory of numbers	1913	T. H. Gronwall	4
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy	4
+	Unsolved Problems in Number Theory	1981	Richard K. Guy	4
+	An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma	2003	Jonathan Sondow	4
+	Zeros of the Alternating Zeta Function on the Line ℝ(<i>s</i>) = 1	2003	Jonathan Sondow	4
+ PDF Chat	An Elementary Problem Equivalent to the Riemann Hypothesis	2002	Jeffrey C. Lagarias	3
+	Infinite products with strongly $B$-multiplicative exponents	2007	Jean‐Paul Allouche Jonathan Sondow	3
+	Euler and the Zeta Function	1974	Raymond Ayoub	3
+	Irresistible integrals: symbolics, analysis and experiments in the evaluation of integrals	2005	George Boros Victor H. Moll	3
+ PDF Chat	On the Diophantine Equation <i>n</i>(<i>n</i> + <i>d</i>) · · · (<i>n</i> + (<i>k</i> − 1)<i>d</i>) = <i>by</i><sup><i>l</i></sup>	2004	Kálmán Győry Lajos Hajdu N. Saradha	3
+	Irrationalitätsmaße füre a ,a≠0 rational oder Liouville-Zahl	1971	Peter Bundschuh	3
+	An Infinite Product for <i>e</i>	1980	Nicholas Pippenger	3
+ PDF Chat	Rational approximations to <i>e</i>	1978	C. S. Davis	3
+ PDF Chat	A proof of Bertrand's postulate	2012	Andrea Asperti Wilmer Ricciotti	3
+	Multiplicative Number Theory	1980	H. Davenport	3
+ PDF Chat	Summation of series defined by counting blocks of digits	2006	Jean‐Paul Allouche Jeffrey Shallit Jonathan Sondow	3
+	Sums of digits and the Hurwitz zeta function	1990	Jean‐Paul Allouche Jeffrey Shallit	3
+ PDF Chat	A Geometric Proof That <i>e</i> Is Irrational and a New Measure of Its Irrationality	2006	Jonathan Sondow	3
+	Special values of multiple polylogarithms	2000	Jonathan M. Borwein David M. Bradley D.J. Broadhurst Petr Lisoněk	3
+ PDF Chat	Abundant Numbers and the Riemann Hypothesis	2006	Keith Briggs	3
+	The William Lowell Putnam Mathematical Competition	1986	Leonard F. Klosinski Gerald L. Alexanderson Loren C. Larson	3
+ PDF Chat	Evaluations of $k$-fold Euler/Zagier sums: a compendium of results for arbitrary $k$	1996	Jonathan M. Borwein David M. Bradley D. J. Broadhurst	3
+	Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work	1978	G. H. Hardy	3
+	New Vacca-Type Rational Series for Euler’s Constant γ and Its “Alternating” Analog $$\ln \frac{4}{\pi }$$	2010	Jonathan Sondow	3
+ PDF Chat	Multiple Polylogarithms: An Introduction	2002	Michel Waldschmidt	3
+	Using Fourier–Legendre expansions to derive series for $\frac{1}{\pi}$ and $\frac{1}{\pi^{2}}$	2010	Paul Levrie	3
+ PDF Chat	RANDOM WALKS, ELLIPTIC INTEGRALS AND RELATED CONSTANTS	2013	J. G. Wan	3
+	Irrationality Measures, Irrationality Bases, and a Theorem of Jarnik	2004	Jonathan Sondow	3