Edit Profile (opens in new tab) Adolphson, Alan Co-Author Distance Author ID: adolphson.alan Published as: Adolphson, Alan; Adolphson, A. Documents Indexed: 63 Publications since 1976, including 9 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Co-Authors: 7 Co-Authors with 53 Joint Publications 111 Co-Co-Authors all top 5 Co-Authors 13 single-authored 50 Sperber, Steven I. 3 Dwork, Bernard Morris 1 Baldassarri, Francesco 1 Berthelot, Pierre 1 Katz, Nicholas Michael 1 Loeser, François 1 Tretkoff, Marvin D. all top 5 Serials 6 Transactions of the American Mathematical Society 4 American Journal of Mathematics 3 Duke Mathematical Journal 3 Algebra & Number Theory 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Compositio Mathematica 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of Algebra 2 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 Finite Fields and their Applications 1 Israel Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Functiones et Approximatio. Commentarii Mathematici 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Annals of Mathematics. Second Series 1 Integers 1 International Journal of Number Theory 1 Contemporary Mathematics 1 Grundlehren der Mathematischen Wissenschaften all top 5 Fields 46 Number theory (11-XX) 44 Algebraic geometry (14-XX) 11 Special functions (33-XX) 7 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 429 times in 271 Documents Cited by ▼ Year ▼ Hypergeometric functions and rings generated by monomials. Zbl 0804.33013 Adolphson, Alan 82 1994 Exponential sums and Newton polyhedra: cohomology and estimates. Zbl 0723.14017 Adolphson, Alan; Sperber, Steven 78 1989 \(p\)-adic estimates for exponential sums and the theorem of Chevalley-Warning. Zbl 0654.12011 Adolphson, Alan; Sperber, Steven 41 1987 Lectures on p-adic differential equations. Zbl 0502.12021 Dwork, Bernard 38 1982 Newton polyhedra and the degree of the L-function associated to an exponential sum. Zbl 0623.12012 Adolphson, Alan; Sperber, Steven 26 1987 Twisted exponential sums and Newton polyhedra. Zbl 0853.11067 Adolphson, Alan; Sperber, Steven 14 1993 On the degree of the \(L\)-function associated with an exponential sum. Zbl 0665.12022 Adolphson, Alan; Sperber, Steven 13 1988 On the distribution of angles of Kloosterman sums. Zbl 0682.40002 Adolphson, Alan 11 1989 On twisted exponential sums. Zbl 0716.11039 Adolphson, Alan; Sperber, Steven 11 1991 Distinguished-root formulas for generalized Calabi-Yau hypersurfaces. Zbl 1394.11054 Adolphson, Alan; Sperber, Steven 11 2017 An index theorem for p-adic differential operators. Zbl 0297.47039 Adolphson, A. 9 1976 Exponential sums on \((\mathbb{F}_ q^*)^ n\). Zbl 0764.11036 Adolphson, A.; Sperber, S. 9 1990 On twisted de Rham cohomology. Zbl 0915.14012 Adolphson, Alan; Sperber, Steven 8 1997 Hasse invariants and mod \(p\) solutions of \(A\)-hypergeometric systems. Zbl 1295.11134 Adolphson, Alan; Sperber, Steven 8 2014 On unit root formulas for toric exponential sums. Zbl 1251.11081 Adolphson, Alan; Sperber, Steven 7 2012 A p-adic theory of Hecke polynomials. Zbl 0339.14012 Adolphson, Alan 6 1976 Higher solutions of hypergeometric systems and Dwork cohomology. Zbl 0931.14012 Adolphson, Alan 6 1999 Exponential sums on \((\mathbb{G}_ m)^ n\). Zbl 0764.11037 Adolphson, Alan; Sperber, Steven 6 1990 Exponential sums on the complement of a hypersurface. Zbl 0444.12016 Adolphson, Alan; Sperber, Steven 6 1980 Twisted Kloosterman sums and \(p\)-adic Bessel functions. Zbl 0552.12010 Adolphson, Alan; Sperber, Steven 5 1984 The \(U_p\)-operator of Atkin on modular functions of level three. Zbl 0431.14006 Adolphson, Alan 5 1980 \(A\)-hypergeometric series and the Hasse-Witt matrix of a hypersurface. Zbl 1416.11101 Adolphson, Alan; Sperber, Steven 5 2016 Exponential sums and Newton polyhedra. Zbl 0634.12018 Adolphson, Alan; Sperber, Steven 4 1987 On the Dwork trace formula. Zbl 0552.12011 Adolphson, Alan 4 1984 Character sums in finite fields. Zbl 0561.12008 Adolphson, A.; Sperber, Steven 4 1984 On the zeta function of a complete intersection. Zbl 0911.11030 Adolphson, Alan; Sperber, Steven 4 1996 \(A\)-hypergeometric systems that come from geometry. Zbl 1257.14016 Adolphson, Alan; Sperber, Steven 4 2012 p-adic estimates for exponential sums. Zbl 0727.11056 Adolphson, Alan; Sperber, Steven 4 1990 On the integrality of factorial ratios and mirror maps. Zbl 1432.11068 Adolphson, Alan; Sperber, Steven 4 2020 Twisted Kloosterman sums and \(p\)-adic Bessel functions. II: Newton polygons and analytic continuation. Zbl 0633.12007 Adolphson, Alan; Sperber, Steven 3 1987 Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017 Adolphson, A.; Dwork, B.; Sperber, S. 3 1982 Exponential sums nondegenerate relative to a lattice. Zbl 1207.11082 Adolphson, Alan; Sperber, Steven 3 2009 Exponential sums on \(\mathbb{A}^n\). III. Zbl 0987.11076 Adolphson, Alan; Sperber, Steven 3 2000 Exponential sums on \(\mathbb{A}^n\). Zbl 1034.11043 Adolphson, Alan; Sperber, Steven 3 2000 On the Jacobian ring of a complete intersection. Zbl 1110.14046 Adolphson, Alan; Sperber, Steven 3 2006 A generalization of the Hasse-Witt matrix of a hypersurface. Zbl 1416.11102 Adolphson, Alan; Sperber, Steven 3 2017 Dwork cohomology, de Rham cohomology, and hypergeometric functions. Zbl 0980.14017 Adolphson, Alan; Sperber, Steven 2 2000 On the zeta function of a projective complete intersection. Zbl 1232.11092 Adolphson, Alan; Sperber, Steven 2 2008 Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action. Zbl 1100.11024 Adolphson, Alan 2 2004 Exponential sums on \(\mathbf{A}^n\). II. Zbl 1125.11337 Adolphson, Alan; Sperber, Steven 2 2004 On the degree of the zeta function of a complete intersection. Zbl 0946.14010 Adolphson, Alan; Sperber, Steven 1 1999 On the mod p eigenvalues of Hecke operators. Zbl 0339.14011 Adolphson, Alan 1 1976 Geometric aspects of Dwork theory. Vol. I, II. Zbl 1047.14001 1 2004 Contiguity relations for generalized hypergeometric functions. Zbl 0814.33004 Adolphson, Alan; Dwork, Bernard 1 1995 \(A\)-hypergeometric series and a \(p\)-adic refinement of the Hasse-Witt matrix. Zbl 1483.11128 Adolphson, Alan; Sperber, Steven 1 2021 \(A\)-hypergeometric series and a \(p\)-adic refinement of the Hasse-Witt matrix. Zbl 1483.11128 Adolphson, Alan; Sperber, Steven 1 2021 On the integrality of factorial ratios and mirror maps. Zbl 1432.11068 Adolphson, Alan; Sperber, Steven 4 2020 Distinguished-root formulas for generalized Calabi-Yau hypersurfaces. Zbl 1394.11054 Adolphson, Alan; Sperber, Steven 11 2017 A generalization of the Hasse-Witt matrix of a hypersurface. Zbl 1416.11102 Adolphson, Alan; Sperber, Steven 3 2017 \(A\)-hypergeometric series and the Hasse-Witt matrix of a hypersurface. Zbl 1416.11101 Adolphson, Alan; Sperber, Steven 5 2016 Hasse invariants and mod \(p\) solutions of \(A\)-hypergeometric systems. Zbl 1295.11134 Adolphson, Alan; Sperber, Steven 8 2014 On unit root formulas for toric exponential sums. Zbl 1251.11081 Adolphson, Alan; Sperber, Steven 7 2012 \(A\)-hypergeometric systems that come from geometry. Zbl 1257.14016 Adolphson, Alan; Sperber, Steven 4 2012 Exponential sums nondegenerate relative to a lattice. Zbl 1207.11082 Adolphson, Alan; Sperber, Steven 3 2009 On the zeta function of a projective complete intersection. Zbl 1232.11092 Adolphson, Alan; Sperber, Steven 2 2008 On the Jacobian ring of a complete intersection. Zbl 1110.14046 Adolphson, Alan; Sperber, Steven 3 2006 Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action. Zbl 1100.11024 Adolphson, Alan 2 2004 Exponential sums on \(\mathbf{A}^n\). II. Zbl 1125.11337 Adolphson, Alan; Sperber, Steven 2 2004 Geometric aspects of Dwork theory. Vol. I, II. Zbl 1047.14001 1 2004 Exponential sums on \(\mathbb{A}^n\). III. Zbl 0987.11076 Adolphson, Alan; Sperber, Steven 3 2000 Exponential sums on \(\mathbb{A}^n\). Zbl 1034.11043 Adolphson, Alan; Sperber, Steven 3 2000 Dwork cohomology, de Rham cohomology, and hypergeometric functions. Zbl 0980.14017 Adolphson, Alan; Sperber, Steven 2 2000 Higher solutions of hypergeometric systems and Dwork cohomology. Zbl 0931.14012 Adolphson, Alan 6 1999 On the degree of the zeta function of a complete intersection. Zbl 0946.14010 Adolphson, Alan; Sperber, Steven 1 1999 On twisted de Rham cohomology. Zbl 0915.14012 Adolphson, Alan; Sperber, Steven 8 1997 On the zeta function of a complete intersection. Zbl 0911.11030 Adolphson, Alan; Sperber, Steven 4 1996 Contiguity relations for generalized hypergeometric functions. Zbl 0814.33004 Adolphson, Alan; Dwork, Bernard 1 1995 Hypergeometric functions and rings generated by monomials. Zbl 0804.33013 Adolphson, Alan 82 1994 Twisted exponential sums and Newton polyhedra. Zbl 0853.11067 Adolphson, Alan; Sperber, Steven 14 1993 On twisted exponential sums. Zbl 0716.11039 Adolphson, Alan; Sperber, Steven 11 1991 Exponential sums on \((\mathbb{F}_ q^*)^ n\). Zbl 0764.11036 Adolphson, A.; Sperber, S. 9 1990 Exponential sums on \((\mathbb{G}_ m)^ n\). Zbl 0764.11037 Adolphson, Alan; Sperber, Steven 6 1990 p-adic estimates for exponential sums. Zbl 0727.11056 Adolphson, Alan; Sperber, Steven 4 1990 Exponential sums and Newton polyhedra: cohomology and estimates. Zbl 0723.14017 Adolphson, Alan; Sperber, Steven 78 1989 On the distribution of angles of Kloosterman sums. Zbl 0682.40002 Adolphson, Alan 11 1989 On the degree of the \(L\)-function associated with an exponential sum. Zbl 0665.12022 Adolphson, Alan; Sperber, Steven 13 1988 \(p\)-adic estimates for exponential sums and the theorem of Chevalley-Warning. Zbl 0654.12011 Adolphson, Alan; Sperber, Steven 41 1987 Newton polyhedra and the degree of the L-function associated to an exponential sum. Zbl 0623.12012 Adolphson, Alan; Sperber, Steven 26 1987 Exponential sums and Newton polyhedra. Zbl 0634.12018 Adolphson, Alan; Sperber, Steven 4 1987 Twisted Kloosterman sums and \(p\)-adic Bessel functions. II: Newton polygons and analytic continuation. Zbl 0633.12007 Adolphson, Alan; Sperber, Steven 3 1987 Twisted Kloosterman sums and \(p\)-adic Bessel functions. Zbl 0552.12010 Adolphson, Alan; Sperber, Steven 5 1984 On the Dwork trace formula. Zbl 0552.12011 Adolphson, Alan 4 1984 Character sums in finite fields. Zbl 0561.12008 Adolphson, A.; Sperber, Steven 4 1984 Lectures on p-adic differential equations. Zbl 0502.12021 Dwork, Bernard 38 1982 Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017 Adolphson, A.; Dwork, B.; Sperber, S. 3 1982 Exponential sums on the complement of a hypersurface. Zbl 0444.12016 Adolphson, Alan; Sperber, Steven 6 1980 The \(U_p\)-operator of Atkin on modular functions of level three. Zbl 0431.14006 Adolphson, Alan 5 1980 An index theorem for p-adic differential operators. Zbl 0297.47039 Adolphson, A. 9 1976 A p-adic theory of Hecke polynomials. Zbl 0339.14012 Adolphson, Alan 6 1976 On the mod p eigenvalues of Hecke operators. Zbl 0339.14011 Adolphson, Alan 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 244 Authors 31 Sperber, Steven I. 28 Adolphson, Alan 11 Cao, Wei 11 Matusevich, Laura Felicia 10 Fernández-Fernández, María-Cruz 9 Hong, Shaofang 9 Walther, Uli 8 Castro, Francis Noel 8 Liu, Chunlei 7 Haessig, C. Douglas 7 Takayama, Nobuki 6 Berkesch Zamaere, Christine 6 Matsubara-Heo, Saiei-Jaeyeong 6 Niu, ChuanZe 6 Wan, Daqing 5 Castro-Jiménez, Francisco Jesús 5 Takeuchi, Kiyoshi 5 Zhao, Junyong 4 Blache, Régis 4 Dickenstein, Alicia M. 4 Fu, Lei 4 Lauder, Alan G. B. 4 Medina, Luis A. 4 Schulze, Mathias 4 Sevenheck, Christian 4 Yang, Liping 4 Yu, Jeng-Daw 4 Zhu, Chaoxi 3 Basu, Saugata 3 Beukers, Frits 3 Chen, Chao 3 Feng, Yulu 3 Glazunov, Mykola Mykhaĭlovych 3 Iritani, Hiroshi 3 Lian, Bong H. 3 Liu, WenXin 3 Miller, Ezra 3 Ouyang, Yi 3 Reichelt, Thomas 3 Rubio, Ivelisse M. 3 Sabbah, Claude 3 Whitcher, Ursula A. 3 Zhang, Hao 3 Zhu, Hui June 2 Bandman, Tatiana M. 2 Borisov, Lev A. 2 Coleman, Robert Frederick 2 Crew, Richard M. 2 Denef, Jan 2 Esterov, Alexander I. 2 Forsgård, Jens 2 Fresán, Javier 2 González, Oscar E. 2 Hartillo-Hermoso, María Isabel 2 Helmer, Martin 2 Horja, Richard Paul 2 Katz, Nicholas Michael 2 Kunyavskiĭ, Boris Èmmanuilovich 2 Lachaud, Gilles 2 Li, Peigen 2 Lin, Xin 2 Nguyen, Kien Huu 2 Robba, Philippe 2 Rojas-León, Antonio 2 Saito, Mutsumi 2 Shparlinski, Igor E. 2 Špenko, Špela 2 Tellander, Felix 2 van der Put, Marius 2 Wang, Chunlin 2 Yang, Jinbang 2 Yau, Shing-Tung 2 Zhang, Shenxing 2 Zúñiga-Galindo, Wilson A. 1 Achter, Jeffrey D. 1 Aggarwal, Keshav 1 Ando, Kana 1 André, Yves 1 Arcadias, Rémi 1 Artamonov, Dmitry V. 1 Baldassarri, Francesco 1 Barone, Sal 1 Berthelot, Pierre 1 Bertram, Noah 1 Castaño Domínguez, Alberto 1 Castro-Velez, F. N. 1 Castryck, Wouter 1 Cattani, Eduardo H. 1 Chapman, Robin J. 1 Chen, Hua 1 Chen, Jianming 1 Chestnov, Vsevolod 1 Christol, Gilles 1 Clark, Peter Louis 1 Cluckers, Raf 1 Cobo Pablos, Helena 1 D’Andrea, Carlos 1 Dartyge, Cécile 1 Deng, Xiantao 1 Djanković, Goran ...and 144 more Authors all top 5 Cited in 92 Serials 30 Finite Fields and their Applications 24 Journal of Number Theory 14 Advances in Mathematics 10 Duke Mathematical Journal 10 Transactions of the American Mathematical Society 9 Proceedings of the American Mathematical Society 8 Inventiones Mathematicae 7 Mathematische Annalen 6 Journal of Pure and Applied Algebra 5 Compositio Mathematica 5 Mathematische Zeitschrift 5 Forum Mathematicum 4 Israel Journal of Mathematics 4 Journal of Algebra 4 Journal für die Reine und Angewandte Mathematik 4 Revista Matemática Iberoamericana 4 Journal of High Energy Physics 4 International Journal of Number Theory 3 Annales de l’Institut Fourier 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Nagoya Mathematical Journal 3 Rendiconti del Seminario Matematico della Università di Padova 3 International Journal of Mathematics 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Indagationes Mathematicae. New Series 3 The Ramanujan Journal 2 Communications in Mathematical Physics 2 Discrete Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Discrete & Computational Geometry 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Cybernetics and Systems Analysis 2 Journal de Théorie des Nombres de Bordeaux 2 Kyushu Journal of Mathematics 2 LMS Journal of Computation and Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Algebra & Number Theory 2 Science China. Mathematics 2 AIMS Mathematics 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 The Journal of Symbolic Logic 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Programming and Computer Software 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Annals of Global Analysis and Geometry 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Sbornik: Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Integers 1 Journal of the Australian Mathematical Society 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Cryptography and Communications 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Forum of Mathematics, Sigma 1 Tunisian Journal of Mathematics 1 Portugaliae Mathematica all top 5 Cited in 28 Fields 162 Number theory (11-XX) 161 Algebraic geometry (14-XX) 68 Special functions (33-XX) 47 Several complex variables and analytic spaces (32-XX) 39 Commutative algebra (13-XX) 13 Field theory and polynomials (12-XX) 11 Associative rings and algebras (16-XX) 11 Convex and discrete geometry (52-XX) 8 Partial differential equations (35-XX) 7 Group theory and generalizations (20-XX) 7 Differential geometry (53-XX) 6 Combinatorics (05-XX) 6 Ordinary differential equations (34-XX) 6 Computer science (68-XX) 4 Quantum theory (81-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 \(K\)-theory (19-XX) 3 Functional analysis (46-XX) 2 Mathematical logic and foundations (03-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year