Books

1 J.M. Borwein, I. Shparlinski & W. Zudilin (eds.)
Number Theory and Related Fields, In memory of Alf van der Poorten
Springer Proceedings in Mathematics & Statistics 43 (2013), Springer MathSciNet Zentralblatt
2 J.M. Borwein, A. van der Poorten, J. Shallit & W. Zudilin
Neverending Fractions, An Introduction to Continued Fractions
Australian Mathematical Society Lecture Series 23 (2014), Cambridge University Press (in press)

Scientific papers & preprints

1 W. Zudilin
On rational approximations of values of a certain class of entire functions
Sb. Math. 186:4 (1995), 555–590 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Sb. 186:4 (1995), 89–124 pdf
2 W. Zudilin
On a measure of irrationality for values of G-functions
Izv. Math. 60:1 (1996), 91–118 CrossRef MathSciNet Zentralblatt
Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 60:1 (1996), 87–114 pdf
3 W. Zudilin
On algebraic structure of functional matrices of special form
Math. Notes 60:6 (1996), 642–648 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 60:6 (1996), 851–860
4 W. Zudilin
Lower bounds for polynomials in the values of certain entire functions
Sb. Math. 187:12 (1996), 1791–1818 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Sb. 187:12 (1996), 57–86 pdf
5 W. Zudilin
On the measure of linear and algebraic independence for values of entire hypergeometric functions
Math. Notes 61:2 (1997), 246–248 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 61:2 (1997), 302–304
6 W. Zudilin
Recurrent sequences and the measure of irrationality of values of elliptic integrals
Math. Notes 61:5 (1997), 657–661 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Zametki 61:5 (1997), 785–789
7 W. Zudilin
Difference equations and the irrationality measure of numbers
Proc. Steklov Inst. Math. 218 (1997), 160–174 MathSciNet Zentralblatt pdf
Russian version in Tr. Mat. Inst. Steklova 218 (1997), 165–178
8 W. Zudilin
Thetanulls and differential equations
Sb. Math. 191:12 (2000), 1827–1871 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Sb. 191:12 (2000), 77–122 pdf
9 W. Zudilin
Cancellation of factorials
Sb. Math. 192:8 (2001), 1181–1207 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Sb. 192:8 (2001), 95–122 pdf
Preprint math.NT/0008017
10 D. Bertrand & W. Zudilin
On the transcendence degree of the differential field generated by Siegel modular forms
J. Reine Angew. Math. 554 (January 2003), 47–68 CrossRef MathSciNet Zentralblatt
Prépublication de l'Institut de Mathématiques de Jussieu, no. 248, Mars 2000
Preprint math.NT/0006176
11 W. Zudilin
Hypergeometric equation and Ramanujan functions
Ramanujan J. 7:4 (2003), 435–447 CrossRef MathSciNet Zentralblatt pdf
12 W. Zudilin
Transcendence problems of the mirror [Number theory casting a look at the mirror]
Preprint math.NT/0008237 pdf
13 W. Zudilin
Integrality of power expansions related to hypergeometric series
Math. Notes 71:5 (2002), 604–616; CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 71:5 (2002), 662–676 pdf
14 D. Bertrand & W. Zudilin
Derivatives of Siegel modular forms and exponential functions
Izv. Math. 65:4 (2001), 659–671 CrossRef MathSciNet Zentralblatt pdf
Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 65:4 (2001), 21–34 pdf
Prépublication de l'Institut de Mathématiques de Jussieu, no. 280, Mars 2001
15 W. Zudilin
On the irrationality of the values of the zeta function at odd integer points
Russian Math. Surveys 56:2 (2001), 423–424 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 56:2 (2001), 215–216 pdf
16 W. Zudilin
Irrationality of values of zeta-function
Preprint math.NT/0104249 pdf
Russian version in Contemporary Research in Mathematics and Mechanics, Proceedings of the XXIII Conference of Young Scientists of the Department of Mechanics and Mathematics (Moscow State University, April 9–14, 2001), Moscow, Publ. Dept. Mech. Math. MSU, 2001, Part 2, 127–135
17 W. Zudilin
Irrationality of values of the Riemann zeta function
Izv. Math. 66:3 (2002), 489–542 CrossRef MathSciNet Zentralblatt pdf
Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 66:3 (2002), 49–102 pdf
18 W. Zudilin
One of the eight numbers ζ(5), ζ(7), ..., ζ(17), ζ(19) is irrational
Math. Notes 70:3 (2001), 426–431 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 70:3 (2001), 472–476 pdf
19 W. Zudilin
Arithmetic of linear forms involving odd zeta values
J. Théor. Nombres Bordeaux 16:1 (2004), 251–291 CrossRef MathSciNet Zentralblatt pdf
Preprint math.NT/0206176
20 W. Zudilin
One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
Russian Math. Surveys 56:4 (2001), 774–776 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 56:4 (2001), 149–150 pdf
21 W. Zudilin
One parameter models of Hopf algebras assosiated with multiple zeta values
Preprint (16 June 2001), 11 pages pdf
22 W. Zudilin
Remarks on irrationality of q-harmonic series
Manuscripta Math. 107:4 (2002), 463–477 CrossRef MathSciNet Zentralblatt
23 W. Zudilin
Algebraic relations for multiple zeta values
Russian Math. Surveys 58:1 (2003), 1–29 CrossRef MathSciNet Zentralblatt
Russian version in Uspekhi Mat. Nauk 58:1 (2003), 3–32 pdf
24 W. Zudilin
On the irrationality of ζq(2)
Russian Math. Surveys 56:6 (2001), 1183–1185 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 56:6 (2001), 147–148 pdf
25 W. Zudilin
On the irrationality measure for a q-analogue of ζ(2)
Sb. Math. 193:8 (2002), 1151–1172 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Sb. 193:8 (2002), 49–70 pdf
26 T. Rivoal & W. Zudilin
Diophantine properties of numbers related to Catalan's constant
Math. Ann. 326:4 (2003), 705–721 CrossRef MathSciNet Zentralblatt
Prépublication de l'Institut de Mathématiques de Jussieu, no. 315, Janvier 2002
27 W. Zudilin
An Apéry-like difference equation for Catalan's constant
Electron. J. Combin. 10:1 (2003), #R14, 10 pages MathSciNet Zentralblatt pdf
Preprint math.NT/0201024
28 W. Zudilin
Well-poised hypergeometric service for diophantine problems of zeta values
in Actes des 12èmes rencontres arithmétiques de Caen (29–30 June 2001), J. Théor. Nombres Bordeaux 15:2 (2003), 593–626 CrossRef MathSciNet Zentralblatt pdf
29 W. Zudilin
Apéry's theorem. Thirty years after [An elementary proof of Apéry's theorem]
Intern. J. Math. Computer Sci. 4:1 (2009), 9–19 MathSciNet Zentralblatt
Preprint math.NT/0202159 pdf
30 W. Zudilin
Very well-poised hypergeometric series and multiple integrals
Russian Math. Surveys 57:4 (2002), 824–826 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 57:4 (2002), 177–178 pdf
Preprint math.CA/0206177
31 W. Zudilin
Heine's basic transform and a permutation group for q-harmonic series
Acta Arith. 111:2 (2004), 153–164 CrossRef MathSciNet Zentralblatt
32 W. Zudilin
A third-order Apéry-like recursion for ζ(5)
Math. Notes 72:5 (2002), 733–737 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 72:5 (2002), 796–800 pdf
Preprint math.NT/0206178
33 W. Zudilin
Diophantine problems for q-zeta values
Math. Notes 72:6 (2002), 858–862 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 72:6 (2002), 936–940 pdf
Preprint math.NT/0206179
34 K. Väänänen & W. Zudilin
Baker-type estimates for linear forms in the values of q-series
Canad. Math. Bull. 48:1 (2005), 147–160 CrossRef MathSciNet Zentralblatt
35 W. Zudilin
A few remarks on linear forms involving Catalan's constant
Preprint math.NT/0210423 pdf
Russian version in Chebyshevskii Sb. (Tula State Pedagogical University) 3:2(4) (2002), 60–70 MathSciNet Zentralblatt pdf
36 W. Zudilin
On the functional transcendence of q-zeta values
Math. Notes 73:4 (2003), 588–589 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 73:4 (2003), 629–630 pdf
37 J. Sondow & W. Zudilin
Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper
Ramanujan J. 12:2 (2006), 225–244 CrossRef MathSciNet Zentralblatt
Preprint (an extended version) math.NT/0304021
38 W. Zudilin
Well-poised hypergeometric transformations of Euler-type multiple integrals
J. London Math. Soc. (2) 70:1 (2004), 215–230 CrossRef MathSciNet Zentralblatt
39 W. Zudilin
Well-poised generation of Apéry-like recursions
in Proceedings of the 7th OPSFA (Copenhagen, 18–22 August 2003), J. Comput. Appl. Math. 178:1–2 (2005), 513–521 CrossRef MathSciNet Zentralblatt
Preprint math.NT/0307058
40 T. Matala-aho, K. Väänänen & W. Zudilin
New irrationality measures for q-logarithms
Math. Comp. 75 (2006), no. 254, 879–889 CrossRef MathSciNet Zentralblatt
41 W. Zudilin
On a combinatorial problem of Asmus Schmidt
Electron. J. Combin. 11:1 (2004), #R22, 8 pages MathSciNet Zentralblatt
Preprint math.CA/0311195
42 C. Krattenthaler, T. Rivoal & W. Zudilin
Séries hypergéométriques basiques, q-analogues des valeurs de la fonction zêta et formes modulaires
J. Inst. Math. Jussieu 5:1 (2006), 53–79 CrossRef MathSciNet Zentralblatt
Preprint math.NT/0311033
43 P. Bundschuh & W. Zudilin
On theorems of Gelfond and Selberg concerning integral-valued entire functions
J. Approx. Theory 130:2 (2004), 164–178 CrossRef MathSciNet Zentralblatt
44 W. Zudilin
Binomial sums related to rational approximations to ζ(4)
Math. Notes 75:4 (2004), 594–597 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 75:4 (2004), 637–640
Preprint math.CA/0311196
45 W. Zudilin
An essay on irrationality measures of π and other logarithms
Preprint math.NT/0404523 pdf
Russian version in Chebyshevskii Sb. (Tula State Pedagogical University) 5:2 (2004), 49–65 MathSciNet Zentralblatt pdf
46 G. Almkvist & W. Zudilin
Differential equations, mirror maps and zeta values
in Mirror Symmetry V, N. Yui, S.-T. Yau, and J.D. Lewis (eds.), AMS/IP Stud. Adv. Math. 38 (2006), International Press & Amer. Math. Soc., 481–515 MathSciNet Zentralblatt pdf
Preprint math.NT/0402386
47 W. Zudilin
The inverse Legendre transform of a certain family of sequences
Math. Notes 76:2 (2004), 276–279 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 76:2 (2004), 300–303 pdf
48 P. Bundschuh & W. Zudilin
Rational approximations to a q-analogue of π and some other q-series
in Diophantine Approximation, Proceedings of the 70th birthday conference in honour of W.M. Schmidt (Vienna, November 2003), H.-P. Schlickewei, K. Schmidt, and R.F. Tichy (eds.), Dev. Math. 16 (2008), Vienna, Springer-Verlag, 123–139 CrossRef MathSciNet Zentralblatt
49 W. Zudilin
Ramanujan-type formulae and irrationality measures of certain multiples of π
Sb. Math. 196:7 (2005), 983–998 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Sb. 196:7 (2005), 51–66 pdf
50 W. Zudilin
Approximations to -, di- and tri- logarithms
J. Comput. Appl. Math. 202:2 (2007), 450–459 CrossRef MathSciNet Zentralblatt
Preprint math.CA/0409023
51 W. Zudilin
An elementary proof of the irrationality of Tschakaloff series
J. Math. Sci. (N. Y.) 146:2 (2007), 5669–5673 CrossRef MathSciNet Zentralblatt
Russian version in Fundam. Prikl. Mat. 11:6 (2005), 59–64 (journal link)
Preprint math.NT/0506086
52 W. Zudilin
Computing powers of two generalizations of the logarithm
Sém. Lothar. Combin. 53 (2004/06), Art. B53c, 6 pages SLC link MathSciNet Zentralblatt
53 W. Zudilin
Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values
in a special volume dedicated to the 90th anniversary of Yu.V. Linnik, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 322 (2005), 107–124 (journal link) MathSciNet Zentralblatt pdf
Reprinted in J. Math. Sci. (N. Y.) 137:2 (2006), 4673–4683 CrossRef
54 Kh. Hessami Pilehrood, T. Hessami Pilehrood & W. Zudilin
Irrationality of certain numbers that contain values of the di- and trilogarithm
Math. Z. 254:2 (2006), 299–313 CrossRef MathSciNet Zentralblatt
55 P. Bundschuh & W. Zudilin
Irrationality measures for certain q-mathematical constants
Math. Scand. 101:1 (2007), 104–122 MathSciNet Zentralblatt
56 W. Zudilin
A new lower bound for ||(3/2)k||
in Proceedings of the 24th Journées Arithmétiques (Marseille, July 4–8, 2005), J. Théor. Nombres Bordeaux 19:1 (2007), 313–325 CrossRef MathSciNet Zentralblatt pdf
57 G. Almkvist, C. van Enckevort, D. van Straten & W. Zudilin
Tables of Calabi–Yau equations
Preprint math.AG/0507430 (July 2005), 104 pages
The supporting database "Calabi–Yau equations" is due to C. van Enckevort and D. van Straten
58 W. Zudilin
Quadratic transformations and Guillera's formulae for 1/π2
Math. Notes 81:3 (2007), 297–301 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Zametki 81:3 (2007), 335–340 pdf
Preprint math.CA/0509465
59 K. Väänänen & W. Zudilin
Linear independence of values of Tschakaloff series
Russian Math. Surveys 62:1 (2007), 196–198 CrossRef MathSciNet Zentralblatt
Russian version in Uspekhi Mat. Nauk 62:1 (2007), 197–198 pdf
60 W. Zudilin
More Ramanujan-type formulae for 1/π2
Russian Math. Surveys 62:3 (2007), 634–636 CrossRef MathSciNet Zentralblatt
Russian version in Uspekhi Mat. Nauk 62:3 (2007), 211–212 pdf
61 K. Väänänen & W. Zudilin
Linear independence of values of Tschakaloff functions with different parameters
J. Number Theory 128:9 (2008), 2549–2558 CrossRef MathSciNet Zentralblatt
62 W. Zudilin
Ramanujan-type formulae for 1/π: A second wind?
in Modular Forms and String Duality (Banff, June 3–8, 2006), N. Yui, H. Verrill, and C.F. Doran (eds.), Fields Inst. Commun. Ser. 54 (2008), Amer. Math. Soc. & Fields Inst., 179–188 MathSciNet Zentralblatt
Preprint arXiv:0712.1332 [math.NT]
63 G. Almkvist, D. van Straten & W. Zudilin
Apéry limits of differential equations of order 4 and 5
in Modular Forms and String Duality (Banff, June 3–8, 2006), N. Yui, H. Verrill, and C.F. Doran (eds.), Fields Inst. Commun. Ser. 54 (2008), Amer. Math. Soc. & Fields Inst., 105–123 MathSciNet Zentralblatt
64 Y. Ohno & W. Zudilin
Zeta stars
Commun. Number Theory Phys. 2:2 (2008), 325–347 pdf MathSciNet Zentralblatt
Preprint MPIM 2007-134 (November 2007)
65 C. Viola & W. Zudilin
Hypergeometric transformations of linear forms in one logarithm
Funct. Approx. Comment. Math. 39:2 (2008), 211–222 CrossRef MathSciNet Zentralblatt
66 Y. Ohno, J. Okuda & W. Zudilin
Cyclic q-MZSV sum
J. Number Theory 132:1 (2012), 144–155 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2008-31 (March 2008)
67 Y. Yang & W. Zudilin, with an appendix by V. Pasol
An Sp4 modularity of Picard–Fuchs differential equations for Calabi–Yau threefolds
in Gems in Experimental Mathematics, T. Amdeberhan, L.A. Medina, and V.H. Moll (eds.), Contemp. Math. 517 (2010), Amer. Math. Soc., 381–413 MathSciNet Zentralblatt
Preprint MPIM 2008-36 (March 2008)
Preprint arXiv:0803.3322 [math.NT]
68 W. Zudilin
Ramanujan-type supercongruences
J. Number Theory 129:8 (2009), 1848–1857 CrossRef MathSciNet Zentralblatt
Preprint arXiv:0805.2788 [math.NT]
69 H.H. Chan & W. Zudilin
New representations for Apéry-like sequences
Mathematika 56:1 (2010), 107–117 CrossRef MathSciNet Zentralblatt
70 C. Krattenthaler, I. Rochev, K. Väänänen & W. Zudilin
On the non-quadraticity of values of the q-exponential function and related q-series
Acta Arith. 136:3 (2009), 243–269 CrossRef MathSciNet Zentralblatt
Preprint (Math. Univ. Oulu, June 2008) & ESI-2026 (Erwin Schrödinger Intern. Inst. Math. Phys., Vienna, June 2008), 25 pages
Preprint arXiv:0812.2921 [math.NT]
71 G. Almkvist, D. van Straten & W. Zudilin
Generalizations of Clausen's formula and algebraic transformations of Calabi–Yau differential equations
Proc. Edinburgh Math. Soc. 54:2 (2011), 273–295 CrossRef MathSciNet Zentralblatt pdf
Preprint MPIM 2009-38 (May 2009)
72 W. Zudilin
A hypergeometric problem
J. Comput. Appl. Math. 233 (2009), 856–857 CrossRef MathSciNet Zentralblatt
73 H.H. Chan, Y. Tanigawa, Y. Yang & W. Zudilin
New analogues of Clausen's identities arising from the theory of modular forms
Adv. in Math. 228:2 (2011), 1294–1314 CrossRef MathSciNet Zentralblatt
74 S. Fischler & W. Zudilin
A refinement of Nesterenko's linear independence criterion with applications to zeta values
Math. Ann. 347:4 (2010), 739–763 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2009-35 (May 2009)
75 Y. Gallot, P. Moree & W. Zudilin
The Erdős–Moser equation 1k+2k+...+(m-1)k=mk revisited using continued fractions
Math. Comp. 80 (2011), no. 274, 1221–1237 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2009-49 (July 2009)
Preprint arXiv:0907.1356 [math.NT]
76 D.H. Bailey, J.M. Borwein, D. Broadhurst & W. Zudilin
Experimental mathematics and mathematical physics
in Gems in Experimental Mathematics, T. Amdeberhan, L.A. Medina, and V.H. Moll (eds.), Contemp. Math. 517 (2010), Amer. Math. Soc., 41–58 MathSciNet Zentralblatt
Preprint arXiv:1005.0414 [math-ph]
77 H.H. Chan, L. Long & W. Zudilin
A supercongruence motivated by the Legendre family of elliptic curves
Math. Notes 88 (2010), 599–602 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Zametki 88:4 (2010), 620–624
78 S. Ole Warnaar & W. Zudilin
Dedekind's η-function and Rogers–Ramanujan identities
Bull. London Math. Soc. 44:1 (2012), 1–11 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1001.1571 [math.CO]
79 S. Ole Warnaar & W. Zudilin
A q-rious positivity
Aequat. Math. 81:1-2 (2011), 177–183 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1003.1999 [math.NT]
80 J. Guillera & W. Zudilin
"Divergent" Ramanujan-type supercongruences
Proc. Amer. Math. Soc. 140:3 (2012), 765–777 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1004.4337 [math.NT]
81 J.M. Borwein, A. Straub, J. Wan & W. Zudilin, with an appendix by D. Zagier
Densities of short uniform random walks
Canad. J. Math. 64:5 (2012), 961–990 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1103.2995 [math.CA]
82 M. Rogers & W. Zudilin
From L-series of elliptic curves to Mahler measures
Compositio Math. 148:2 (2012), 385–414 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1012.3036 [math.NT]
83 M. Rogers & W. Zudilin
On the Mahler measure of 1+X+1/X+Y+1/Y
Intern. Math. Research Notices 2014:9 (2014), 2305–2326 CrossRef MathSciNet
Preprint arXiv:1102.1153 [math.NT]
84 W. Zudilin
Arithmetic hypergeometric series
Russian Math. Surveys 66:2 (2011), 369–420 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 66:2 (2011), 163–216
85 H.H. Chan, J. Wan & W. Zudilin
Legendre polynomials and Ramanujan-type series for 1/π
Israel J. Math. 194:1 (2013), 183–207 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2011-36 (June 2011)
86 J. Wan & W. Zudilin
Generating functions of Legendre polynomials: a tribute to Fred Brafman
J. Approx. Theory 164:4 (2012), 488–503 CrossRef MathSciNet Zentralblatt
Reprinted for the continuity of the special issue (OPSFA 2011, Madrid, Spain) in J. Approx. Theory 170 (2013), 198–213 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2011-37 (June 2011)
87 W. Zudilin
Book review: Ramanujan's Lost Notebook. Part II by G.E. Andrews and B.C. Berndt (Cambridge University Press, Cambridge 2008)
J. Approx. Theory 163:8 (2011), 1037–1040 CrossRef
88 H.H. Chan, J. Wan & W. Zudilin
Complex series for 1/π
in Ramanujan's 125th anniversary special volume, Ramanujan J. 29:1–3 (2012), 135–144 CrossRef MathSciNet Zentralblatt
89 T. Chappell, A. Lascoux, S. O. Warnaar & W. Zudilin
Logarithmic and complex constant term identities
in Computational and Analytical Mathematics, In honor of Jonathan Borwein's 60th birthday, D.H. Bailey et al. (eds.), Springer Proceedings in Mathematics & Statistics 50 (2013), Springer, 219–250 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1112.3130 [math.CO]
90 W. Zudilin
Transformations of L-values
in Analytic Number Theory–related Multiple aspects of Arithmetic Functions, Takumi Noda (ed.), RIMS Kôkyûroku no. 1806 (Kyoto Univ., September 2012), 16–21
Preprint arXiv:1202.5630 [math.NT]
91 W. Zudilin
Period(d)ness of L-values
in Number Theory and Related Fields, In memory of Alf van der Poorten, J.M. Borwein et al. (eds.), Springer Proceedings in Mathematics & Statistics 43 (2013), Springer, 381–395 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2012-42 (June 2012)
92 W. Zudilin
Lost in translation
in Advances in Combinatorics, Waterloo Workshop in Computer Algebra W80 (May 26–29, 2011), I. Kotsireas and E.V. Zima (eds.) (2013), Springer, 287–293 CrossRef Zentralblatt
Preprint arXiv:1210.0269 [math.NT]
93 W. Zudilin
A generating function of the squares of Legendre polynomials
Bull. Austral. Math. Soc. 89:1 (2014), 125–131 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1210.2493 [math.CA]
94 J. Guillera & W. Zudilin
Ramanujan-type formulae for 1/π: The art of translation
in The Legacy of Srinivasa Ramanujan, B.C. Berndt & D. Prasad (eds.), Ramanujan Math. Soc. Lecture Notes Series 20 (2013), 181–195
Preprint arXiv:1302.0548 [math.NT]
Preprint MPIM 2013-29
95 W. Zudilin
Regulator of modular units and Mahler measures
Math. Proc. Cambridge Philos. Soc. 156:2 (2014), 313–326 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1304.3869 [math.NT]
Preprint MPIM 2013-30
96 W. Zudilin
On three theorems of Folsom, Ono and Rhoades
Proc. Amer. Math. Soc. (accepted for publication), 6 pages
Preprint arXiv:1309.2053 [math.NT] (September 2013)
97 A. Straub & W. Zudilin
Positivity of rational functions and their diagonals
J. Approx. Theory (to appear), 13 pages CrossRef
Preprint arXiv:1312.3732 [math.NT]
Preprint MPIM 2013-61
98 W. Zudilin
Two hypergeometric tales and a new irrationality measure of ζ(2)
Ann. Math. Québec (to appear), 18 pages CrossRef
Preprint arXiv:1310.1526 [math.NT]
99 S. Dauguet & W. Zudilin
On simultaneous diophantine approximations to ζ(2) and ζ(3)
Preprint arXiv:1401.5322 [math.NT] (December 2013), 23 pages
100 W. Zudilin
On the irrationality measure of π2
Russian Math. Surveys 68:6 (2013), 1133–1135 CrossRef MathSciNet Zentralblatt
Russian version in Uspekhi Mat. Nauk 68:6 (2013), 171–172 CrossRef
101 C. Viola & W. Zudilin
Linear independence of dilogarithmic values
Preprint MPIM 2014-26 (March 2014), 38 pages
102 M. J. Bertin & W. Zudilin
On the Mahler measure of a family of genus 2 curves
Preprint arXiv:1405.4396 [math.NT] (May 2014), 9 pages

Started: July 2, 1997