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This article reports on some recent progresses in Bessel moments, which represent a class of Feynman diagrams in 2-dimensional quantum field theory.
A local probability problem
J. C. Kluyver · 1905
Earlier work this paper cites.
Die elliptischen Funktionen und ihre Anwendungen. Erster Teil: Die funktionentheoretischen und analytischen Grundlagen
Robert Fricke · 1916
Earlier work this paper cites.
A Treatise on the Theory of Bessel Functions
G. N. Watson · 1944
Earlier work this paper cites.
On the rationality of the zeta function of an algebraic variety
Bernard Dwork · 1960
Earlier work this paper cites.
Cohomologie l l -adique et fonctions L L
Alexander Grothendieck · 1966
Earlier work this paper cites.
Formule de Lefschetz et rationalité des fonctions L L
Alexander Grothendieck · 1968
Earlier work this paper cites.
La conjecture de Weil. I
Pierre Deligne · 1974
Earlier work this paper cites.
Cohomologie étale
Pierre Deligne · 1977
Earlier work this paper cites.
Symmetric powers of the p p -adic Bessel equation
Philippe Robba · 1986
Earlier work this paper cites.
The Hasse zeta function of a K 3 K3 surface related to the number of words of weight 5 5 in the Melas codes
C. Peters, J. Top, and M. van der Vlugt · 1992
Earlier work this paper cites.
Abelian surfaces of type ( 1 , 3 ) (1,3) and quartic surfaces with 16 16 skew lines
W. Barth and I. Nieto · 1994
Earlier work this paper cites.
Root lattices and pencils of varieties
H. A. Verrill · 1996
Earlier work this paper cites.
On symmetric powers of differential operators
Manuel Bronstein, Thom Mulders, and Jacques-Arthur Weil · 1997
Earlier work this paper cites.
The modular form of the Barth–Nieto quintic
V. Gritsenko and K. Hulek · 1999
Earlier work this paper cites.
The modularity of the Barth–Nieto quintic and its relatives
K. Hulek, J. Spandaw, B. van Geemen, and D. van Straten · 2001
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A First Course in Modular Forms
Fred Diamond and Jerry Shurman · 2005
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L L -functions for symmetric products of Kloosterman sums
Lei Fu and Daqing Wan · 2005
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Reciprocal PSLQ and the tiny nome of Bologna
David Broadhurst · 2007
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On the evaluation of a certain class of Feynman diagrams in x x -space: Sunrise-type topologies at any loop order
S. Groote, J. G. Körner, and A. A. Privovarov · 2007
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Elliptic integral evaluations of Bessel moments and applications
David H. Bailey, Jonathan M. Borwein, David Broadhurst, and M. L. Glasser · 2008
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A proof of a recurrence for Bessel moments
Jonathan M. Borwein and Bruno Salvy · 2008
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L L -functions of symmetric products of the Kloosterman sheaf over 𝐙 {\bf Z}
Lei Fu and Daqing Wan · 2008
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Trivial factors for L L -functions of symmetric products of Kloosterman sheaves
Lei Fu and Daqing Wan · 2008
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S. Laporta · 2008
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Densities of short uniform random walks in higher dimensions
Jonathan M. Borwein, Armin Straub, and Christophe Vignat · 2016
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Feynman integrals, L {L} -series and Kloosterman moments
David Broadhurst · 2016
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Perturbative quantum field theory informs algebraic geometry
David Broadhurst and Anton Mellit · 2016
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Feynman integrals and critical modular L L -values
Detchat Samart · 2016
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L {L} -series from Feynman diagrams with up to 22 loops
David Broadhurst · 2017
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Mathew D. Rogers · 2009
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The Apéry numbers, the Almkvist–Zudilin numbers and new series for 1 / π 1/\pi
Heng Huat Chan and Helena Verrill · 2009
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New representations for Apéry-like sequences
Heng Huat Chan and Wadim Zudilin · 2010
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Seventh power moments of Kloosterman sums
Ronald Evans · 2010
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New representations for Apéry-like sequences
Heng Huat Chan and Wadim Zudilin · 2010
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Some arithmetic properties of random walk integrals
Jonathan M. Borwein, Dirk Nuyens, Armin Straub, and James Wan · 2011
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Densities of short uniform random walks
Jonathan M. Borwein, Armin Straub, James Wan, and Wadim Zudilin · 2012
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Combinatorics of Feynman integrals
David Broadhurst · 2017
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Feynman integrals, beyond polylogs, up to 22 loops
David Broadhurst · 2017
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Combinatorics of Feynman integrals
David Broadhurst · 2017
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Feynman integrals, L {L} -series and Kloosterman moments
David Broadhurst · 2017
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High-precision calculation of the 4-loop contribution to the electron g − 2 g-2 in QED
Stefano Laporta · 2017
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Sequence A262961
N. J. A. Sloane · 2017
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Hilbert transforms and sum rules of Bessel moments
Yajun Zhou · 2017
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On Borwein’s conjectures for planar uniform random walks
Yajun Zhou · 2017
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On Laporta’s 4-loop sunrise formulae
Yajun Zhou · 2018
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Two definite integrals involving products of four Legendre functions
Yajun Zhou · 2018
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Wick rotations, Eichler integrals, and multi-loop Feynman diagrams
Yajun Zhou · 2018
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Wrońskian factorizations and Broadhurst–Mellit determinant formulae
Yajun Zhou · 2018
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Wick rotations, Eichler integrals, and multi-loop Feynman diagrams
Yajun Zhou · 2018
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Some algebraic and arithmetic properties of Feynman diagrams
Yajun Zhou · 2019
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