Fetching the paper…
Reading the bibliography…
A period of a rational integral is the result of integrating, with respect to one or several variables, a rational function over a closed path.
“Sur les intégrales doubles de fonctions rationnelles dont tous les résidus sont nuls”
\’Emile Picard · 1902
Earlier work this paper cites.
“Théorie des fonctions algébriques de deux variables indépendantes”
\’Emile Picard and Georges Simart · 1906
Earlier work this paper cites.
“Some generalized hypergeometric polynomials”
Mary˜Celine Fasenmyer · 1947
Earlier work this paper cites.
“Algèbres tensorielles, algèbres extérieures, algèbres symétriques”
Nicolas Bourbaki · 1961
Earlier work this paper cites.
“On the zeta function of a hypersurface”
Bernard Dwork · 1962
Earlier work this paper cites.
“On the zeta function of a hypersurface: II”
Bernard Dwork · 1964
Earlier work this paper cites.
“On the de Rham cohomology of algebraic varieties”
Alexandre Grothendieck · 1966
Earlier work this paper cites.
“On the periods of certain rational integrals”
Phillip˜A. Griffiths · 1969
Earlier work this paper cites.
“Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin”
Nicholas˜M. Katz · 1970
Earlier work this paper cites.
“Finiteness of de Rham cohomology”
Paul Monsky · 1972
Earlier work this paper cites.
“The automatic construction of pure recurrence relations”
Peter Verbaeten · 1974
Earlier work this paper cites.
“Commutative algebra” 56
Hideyuki Matsumura · 1980
Earlier work this paper cites.
“Irrationality of π 2 \pi^{2} , periods of an elliptic curve and Γ 1 ( 5 ) \Gamma_{1}(5) ”
Frits Beukers · 1983
Earlier work this paper cites.
“On the Milnor fibrations of weighted homogeneous polynomials”
Alexandru Dimca · 1990
Earlier work this paper cites.
“Lettre à Bernard Malgrange”, 1991
Pierre Deligne · 1991
Earlier work this paper cites.
“On the de Rham cohomology of a hypersurface complement”
Alexandru Dimca · 1991
Cited alongside, same era.
“Lettre à Pierre Deligne”, 1991
Bernard Malgrange · 1991
Cited alongside, same era.
“The method of creative telescoping”
Doron Zeilberger · 1991
Cited alongside, same era.
“Singularities and topology of hypersurfaces”, Universitext
Alexandru Dimca · 1992
Cited alongside, same era.
“Picard-Fuchs equations and mirror maps for hypersurfaces”
David˜R. Morrison · 1992
Cited alongside, same era.
“An algorithmic proof theory for hypergeometric (ordinary and “ q q ”) multisum/integral identities”
Herbert˜S. Wilf and Doron Zeilberger · 1992
Cited alongside, same era.
“Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf- Zeilberger theory”
Moa Apagodu and Doron Zeilberger · 2005
Later among the works it cites.
“A generalization of Griffiths’s theorem on rational integrals”
Alexandru Dimca and Morihiko Saito · 2006
Later among the works it cites.
“D-branes and normal functions”
David˜R. Morrison and Johannes Walcher · 2009
Later among the works it cites.
“The art of finding Calabi-Yau differential equations”
Gert Almkvist · 2010
Later among the works it cites.
“Tables of Calabi–Yau equations”, arXiv:math/0507430, 2010
Gert Almkvist, Christian Enckevort, Duco Straten and Wadim Zudilin · 2010
Later among the works it cites.
“Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions”
Victor Batyrev and Maximilian Kreuzer · 2010
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
“Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties”
Victor Batyrev and Duco Straten · 1995
Cited alongside, same era.
“The Magma algebra system. I. The user language” Computational algebra and number theory (London, 1993)
Wieb Bosma, John Cannon and Catherine Playoust · 1996
Cited alongside, same era.
“Factorization of differential operators with rational functions coefficients”
Mark Hoeij · 1997
Cited alongside, same era.
“Using algebraic geometry”, GTM
David˜A. Cox, John Little and Donal O’Shea · 1998
Cited alongside, same era.
“Mirror symmetry and algebraic geometry”, Mathematical Surveys and Monographs 68
David˜A. Cox and Sheldon Katz · 1999
Cited alongside, same era.
“Modern computer algebra”
Joachim Gathen and J\"urgen Gerhard · 1999
Cited alongside, same era.
Later among the works it cites.
“Complexity of creative telescoping for bivariate rational functions”
Alin Bostan, Shaoshi Chen, Fr\’ed\’eric Chyzak and Ziming Li · 2010
Later among the works it cites.
“Walks with small steps in the quarter plane”
Mireille Bousquet-M\’elou and Marni Mishna · 2010
Later among the works it cites.
“A fast approach to creative telescoping”
Christoph Koutschan · 2010
Later among the works it cites.
“The computational challenge of enumerating high-dimensional rook walks”
Manuel Kauers and Doron Zeilberger · 2011
Later among the works it cites.
“Telescopers for Rational and Algebraic Functions via Residues”
Shaoshi Chen, Manuel Kauers and Michael˜F. Singer · 2012
Later among the works it cites.
“How to compute the constant term of a power of a Laurent polynomial efficiently”
Pavel Metelitsyn · 2012
Later among the works it cites.
“Creative telescoping for rational functions using the Griffiths–Dwork method”
Alin Bostan, Pierre Lairez and Bruno Salvy · 2013
Later among the works it cites.
“The ABC of Creative Telescoping: Algorithms, Bounds, Complexity” Mémoire d’habilitation à diriger les recherches, 2014
Fr\’ed\’eric Chyzak · 2014
Closest in time.