Edit Profile (opens in new tab) Ahlgren, Scott D. Compute Distance To: Compute Author ID: ahlgren.scott-d Published as: Ahlgren, Scott; Ahlgren, Scott D. External Links: MGP Documents Indexed: 52 Publications since 1997 1 Contribution as Editor Reviewing Activity: 12 Reviews Co-Authors: 23 Co-Authors with 38 Joint Publications 581 Co-Co-Authors all top 5 Co-Authors 15 single-authored 10 Ono, Ken 6 Andersen, Nickolas 5 Kim, Byungchan 4 Boylan, Matthew 4 Rouse, Jeremy A. 3 Lovejoy, Jeremy 2 Samart, Detchat 1 Andrews, George Eyre 1 Barcau, Mugurel A. 1 Berndt, Bruce Carl 1 Bringmann, Kathrin 1 Choi, Dohoon 1 Dunn, Alexander 1 Ekhad, Shalosh B. (computer) 1 English, Lars 1 Masri, Nadia 1 Papanikolas, Matthew A. 1 Penniston, David 1 Treneer, Stephanie 1 Winters, Ron 1 Yee, Ae Ja 1 Zaharescu, Alexandru 1 Zeilberger, Doron all top 5 Serials 5 Journal of Number Theory 4 Mathematische Annalen 3 Acta Arithmetica 3 Proceedings of the American Mathematical Society 3 IMRN. International Mathematics Research Notices 3 Mathematical Research Letters 2 Advances in Mathematics 2 American Journal of Mathematics 2 Mathematika 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Forum Mathematicum 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Finite Fields and their Applications 1 The Electronic Journal of Combinatorics 1 The Ramanujan Journal 1 Annals of Combinatorics 1 International Journal of Number Theory 1 Mathematics and its Applications (Dordrecht) 1 Research in Number Theory all top 5 Fields 50 Number theory (11-XX) 6 Algebraic geometry (14-XX) 5 Combinatorics (05-XX) 5 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 47 Publications have been cited 534 times in 361 Documents Cited by ▼ Year ▼ A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002Ahlgren, Scott; Ono, Ken 77 2000 Congruence properties for the partition function. Zbl 1114.11310Ahlgren, Scott; Ono, Ken 53 2001 Arithmetic properties of the partition function. Zbl 1038.11067Ahlgren, Scott; Boylan, Matthew 43 2003 Distribution of the partition function modulo composite integers \(M\). Zbl 1007.11061Ahlgren, Scott 43 2000 Gaussian hypergeometric series and combinatorial congruences. Zbl 1037.33016Ahlgren, Scott 24 2001 Arithmetic of singular moduli and class polynomials. Zbl 1133.11036Ahlgren, Scott; Ono, Ken 22 2005 The arithmetic of partitions into distinct parts. Zbl 1040.11073Ahlgren, Scott; Lovejoy, Jeremy 21 2001 Distribution of parity of the partition function in arithmetic progressions. Zbl 1027.11079Ahlgren, Scott 20 1999 Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031Ahlgren, Scott; Ono, Ken 19 2000 \(\ell \)-adic properties of smallest parts functions. Zbl 1268.11145Ahlgren, Scott; Bringmann, Kathrin; Lovejoy, Jeremy 17 2011 The theta-operator and the divisors of modular forms on genus zero subgroups. Zbl 1149.11308Ahlgren, Scott 17 2003 Algebraic and transcendental formulas for the smallest parts function. Zbl 1407.11058Ahlgren, Scott; Andersen, Nickolas 13 2016 Zeta functions of an infinite family of \(K3\) surfaces. Zbl 1065.14023Ahlgren, Scott; Ono, Ken; Penniston, David 11 2002 Addition and counting: The arithmetic of partitions. Zbl 1024.11063Ahlgren, Scott; Ono, Ken 10 2001 The points of a certain fivefold over finite fields and the twelfth power of the eta function. Zbl 1026.11053Ahlgren, Scott 10 2002 The sixth, eighth, ninth, and tenth powers of Ramanujan’s theta function. Zbl 0953.11006Ahlgren, Scott 9 2000 Coefficients of half-integral weight modular forms modulo \(\ell^{ j }\). Zbl 1082.11023Ahlgren, Scott; Boylan, Matthew 9 2005 Rank generating functions as weakly holomorphic modular forms. Zbl 1234.11059Ahlgren, Scott; Treneer, Stephanie 9 2008 Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants. Zbl 1077.11048Ahlgren, Scott; Ono, Ken 9 2003 Dissections of a “strange” function. Zbl 1325.05030Ahlgren, Scott; Kim, Byungchan 7 2015 Congruences and conjectures for the partition function. Zbl 1009.11059Ahlgren, Scott; Ono, Ken 7 2001 A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron 7 1998 Mock modular grids and Hecke relations for mock modular forms. Zbl 1297.11029Ahlgren, Scott; Kim, Byungchan 6 2014 Kloosterman sums and Maass cusp forms of half integral weight for the modular group. Zbl 1453.11102Ahlgren, Scott; Andersen, Nickolas 6 2018 On the irreducibility of Hecke polynomials. Zbl 1220.11059Ahlgren, Scott 5 2008 Central critical values of modular \(L\)-functions and coefficients of half-integral weight modular forms modulo \(\ell\). Zbl 1154.11017Ahlgren, Scott; Boylan, Matthew 5 2007 Odd coefficients of weakly holomorphic modular forms. Zbl 1234.11056Ahlgren, Scott; Boylan, Matthew 5 2008 Euler-like recurrences for smallest parts functions. Zbl 1380.11042Ahlgren, Scott; Andersen, Nickolas 5 2015 Integrals of Eisenstein series and derivatives of \(L\)-functions. Zbl 1086.11023Ahlgren, Scott; Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 5 2002 Hecke relations for traces of singular moduli. Zbl 1268.11056Ahlgren, Scott 4 2012 Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function. Zbl 1379.11054Ahlgren, Scott; Andersen, Nickolas 4 2015 Congruences for modular forms of weights two and four. Zbl 1144.11036Ahlgren, Scott; Barcau, Mugurel 4 2007 Vanishing of modular forms at infinity. Zbl 1214.11052Ahlgren, Scott; Masri, Nadia; Rouse, Jeremy 4 2009 A polyharmonic Maass form of depth 3/2 for \(\mathrm{SL}_2(\mathbb{Z})\). Zbl 1444.11081Ahlgren, Scott; Andersen, Nickolas; Samart, Detchat 3 2018 Higher Weierstrass points on \(X_{0}(p)\). Zbl 1114.11056Ahlgren, Scott; Papanikolas, Matthew 3 2003 Congruences for level four cusp forms. Zbl 1270.11047Ahlgren, Scott; Choi, Dohoon; Rouse, Jeremy 3 2009 Mock theta functions and weakly holomorphic modular forms modulo \(2\) and \(3\). Zbl 1371.11086Ahlgren, Scott; Kim, Byungchan 3 2015 Dissections of strange \(q\)-series. Zbl 1436.33014Ahlgren, Scott; Kim, Byungchan; Lovejoy, Jeremy 2 2019 Hecke grids and congruences for weakly holomorphic modular forms. Zbl 1375.11045Ahlgren, Scott; Andersen, Nickolas 2 2014 Non-vanishing of the partition function modulo odd primes \(l\). Zbl 0993.11053Ahlgren, Scott 1 1999 Critical \(L\)-values of level \(p\) newforms (mod \(p\)). Zbl 1196.11070Ahlgren, Scott; Rouse, Jeremy 1 2010 Multiplicative relations in powers of Euler’s product. Zbl 0981.11017Ahlgren, Scott 1 2001 The arithmetic of Weierstrass points on modular curves \(X_0(p)\). Zbl 1058.14037Ahlgren, Scott 1 2004 Congruences for a mock modular form on \(\mathrm{SL}_2(\mathbb{Z})\) and the smallest parts function. Zbl 1447.11059Ahlgren, Scott; Kim, Byungchan 1 2018 Maass forms and the mock theta function \(f(q)\). Zbl 1454.11080Ahlgren, Scott; Dunn, Alexander 1 2019 Equations \(F(x,y,\alpha^x)=0\). Zbl 0949.11021Ahlgren, Scott 1 1999 A note on cusp forms as \(p\)-adic limits. Zbl 1401.11090Ahlgren, Scott; Samart, Detchat 1 2016 Dissections of strange \(q\)-series. Zbl 1436.33014Ahlgren, Scott; Kim, Byungchan; Lovejoy, Jeremy 2 2019 Maass forms and the mock theta function \(f(q)\). Zbl 1454.11080Ahlgren, Scott; Dunn, Alexander 1 2019 Kloosterman sums and Maass cusp forms of half integral weight for the modular group. Zbl 1453.11102Ahlgren, Scott; Andersen, Nickolas 6 2018 A polyharmonic Maass form of depth 3/2 for \(\mathrm{SL}_2(\mathbb{Z})\). Zbl 1444.11081Ahlgren, Scott; Andersen, Nickolas; Samart, Detchat 3 2018 Congruences for a mock modular form on \(\mathrm{SL}_2(\mathbb{Z})\) and the smallest parts function. Zbl 1447.11059Ahlgren, Scott; Kim, Byungchan 1 2018 Algebraic and transcendental formulas for the smallest parts function. Zbl 1407.11058Ahlgren, Scott; Andersen, Nickolas 13 2016 A note on cusp forms as \(p\)-adic limits. Zbl 1401.11090Ahlgren, Scott; Samart, Detchat 1 2016 Dissections of a “strange” function. Zbl 1325.05030Ahlgren, Scott; Kim, Byungchan 7 2015 Euler-like recurrences for smallest parts functions. Zbl 1380.11042Ahlgren, Scott; Andersen, Nickolas 5 2015 Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function. Zbl 1379.11054Ahlgren, Scott; Andersen, Nickolas 4 2015 Mock theta functions and weakly holomorphic modular forms modulo \(2\) and \(3\). Zbl 1371.11086Ahlgren, Scott; Kim, Byungchan 3 2015 Mock modular grids and Hecke relations for mock modular forms. Zbl 1297.11029Ahlgren, Scott; Kim, Byungchan 6 2014 Hecke grids and congruences for weakly holomorphic modular forms. Zbl 1375.11045Ahlgren, Scott; Andersen, Nickolas 2 2014 Hecke relations for traces of singular moduli. Zbl 1268.11056Ahlgren, Scott 4 2012 \(\ell \)-adic properties of smallest parts functions. Zbl 1268.11145Ahlgren, Scott; Bringmann, Kathrin; Lovejoy, Jeremy 17 2011 Critical \(L\)-values of level \(p\) newforms (mod \(p\)). Zbl 1196.11070Ahlgren, Scott; Rouse, Jeremy 1 2010 Vanishing of modular forms at infinity. Zbl 1214.11052Ahlgren, Scott; Masri, Nadia; Rouse, Jeremy 4 2009 Congruences for level four cusp forms. Zbl 1270.11047Ahlgren, Scott; Choi, Dohoon; Rouse, Jeremy 3 2009 Rank generating functions as weakly holomorphic modular forms. Zbl 1234.11059Ahlgren, Scott; Treneer, Stephanie 9 2008 On the irreducibility of Hecke polynomials. Zbl 1220.11059Ahlgren, Scott 5 2008 Odd coefficients of weakly holomorphic modular forms. Zbl 1234.11056Ahlgren, Scott; Boylan, Matthew 5 2008 Central critical values of modular \(L\)-functions and coefficients of half-integral weight modular forms modulo \(\ell\). Zbl 1154.11017Ahlgren, Scott; Boylan, Matthew 5 2007 Congruences for modular forms of weights two and four. Zbl 1144.11036Ahlgren, Scott; Barcau, Mugurel 4 2007 Arithmetic of singular moduli and class polynomials. Zbl 1133.11036Ahlgren, Scott; Ono, Ken 22 2005 Coefficients of half-integral weight modular forms modulo \(\ell^{ j }\). Zbl 1082.11023Ahlgren, Scott; Boylan, Matthew 9 2005 The arithmetic of Weierstrass points on modular curves \(X_0(p)\). Zbl 1058.14037Ahlgren, Scott 1 2004 Arithmetic properties of the partition function. Zbl 1038.11067Ahlgren, Scott; Boylan, Matthew 43 2003 The theta-operator and the divisors of modular forms on genus zero subgroups. Zbl 1149.11308Ahlgren, Scott 17 2003 Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants. Zbl 1077.11048Ahlgren, Scott; Ono, Ken 9 2003 Higher Weierstrass points on \(X_{0}(p)\). Zbl 1114.11056Ahlgren, Scott; Papanikolas, Matthew 3 2003 Zeta functions of an infinite family of \(K3\) surfaces. Zbl 1065.14023Ahlgren, Scott; Ono, Ken; Penniston, David 11 2002 The points of a certain fivefold over finite fields and the twelfth power of the eta function. Zbl 1026.11053Ahlgren, Scott 10 2002 Integrals of Eisenstein series and derivatives of \(L\)-functions. Zbl 1086.11023Ahlgren, Scott; Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 5 2002 Congruence properties for the partition function. Zbl 1114.11310Ahlgren, Scott; Ono, Ken 53 2001 Gaussian hypergeometric series and combinatorial congruences. Zbl 1037.33016Ahlgren, Scott 24 2001 The arithmetic of partitions into distinct parts. Zbl 1040.11073Ahlgren, Scott; Lovejoy, Jeremy 21 2001 Addition and counting: The arithmetic of partitions. Zbl 1024.11063Ahlgren, Scott; Ono, Ken 10 2001 Congruences and conjectures for the partition function. Zbl 1009.11059Ahlgren, Scott; Ono, Ken 7 2001 Multiplicative relations in powers of Euler’s product. Zbl 0981.11017Ahlgren, Scott 1 2001 A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002Ahlgren, Scott; Ono, Ken 77 2000 Distribution of the partition function modulo composite integers \(M\). Zbl 1007.11061Ahlgren, Scott 43 2000 Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031Ahlgren, Scott; Ono, Ken 19 2000 The sixth, eighth, ninth, and tenth powers of Ramanujan’s theta function. Zbl 0953.11006Ahlgren, Scott 9 2000 Distribution of parity of the partition function in arithmetic progressions. Zbl 1027.11079Ahlgren, Scott 20 1999 Non-vanishing of the partition function modulo odd primes \(l\). Zbl 0993.11053Ahlgren, Scott 1 1999 Equations \(F(x,y,\alpha^x)=0\). Zbl 0949.11021Ahlgren, Scott 1 1999 A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron 7 1998 all cited Publications top 5 cited Publications all top 5 Cited by 344 Authors 18 Ahlgren, Scott D. 16 Ono, Ken 10 Bringmann, Kathrin 10 Choi, Dohoon 10 Long, Ling 9 Garvan, Frank G. 8 Andersen, Nickolas 8 Barman, Rupam 8 Lovejoy, Jeremy 8 McCarthy, Dermot 7 Kim, Byungchan 7 Osburn, Robert 7 Zudilin, Wadim 6 Guerzhoy, Pavel I. 6 Kalita, Gautam 6 Mortenson, Eric T. 6 Richter, Olav K. 6 Straub, Armin 6 Swisher, Holly 6 Tu, Fang-Ting 5 Bruinier, Jan Hendrik 5 Jennings-Shaffer, Chris 5 Penniston, David 5 Rolen, Larry 5 Webb, John J. B. 4 Berndt, Bruce Carl 4 Chan, Heichi 4 Chen, Shichao 4 Fuselier, Jenny G. 4 Goodson, Heidi 4 Lim, Subong 4 Lin, Bernard L. S. 4 Liu, Jicai 4 Pan, Hao 4 Saikia, Neelam 4 Wang, Liuquan 4 Wei, Chuanan 4 Xia, Ernest X. W. 4 Zaharescu, Alexandru 3 Boylan, Matthew 3 Chan, Heng Huat 3 Dai, Haobo 3 Dawsey, Madeline Locus 3 El-Guindy, Ahmad 3 Garthwaite, Sharon Anne 3 Guo, Victor J. W. 3 He, Bing 3 Jameson, Marie 3 Kane, Ben 3 Kang, Soon-Yi 3 Kent, Zachary A. 3 Luo, Qiuming 3 Mao, Renrong 3 Masri, Riad 3 Papanikolas, Matthew A. 3 Radu, Cristian-Silviu 3 Samart, Detchat 3 Schwagenscheidt, Markus 3 Sun, Zhi-Wei 3 Tripathi, Mohit 3 Vincent, Christelle 3 Yang, Yifan 3 Yee, Ae Ja 3 Zanello, Fabrizio 2 Andrews, George Eyre 2 Brown, Jim L. 2 Chen, William Yong-Chuan 2 Choi, Yunseo 2 Choie, YoungJu 2 Deines-Schartz, Alyson 2 Dewar, Michael C. 2 Dicks, Robert 2 Dou, Donna Quan Jie 2 Dunn, Alexander 2 Evans, Ronald J. 2 Folsom, Amanda L. 2 Ge, Ji-Ke 2 Gomez, Kevin 2 Goswami, Ankush 2 Hou, Qinghu 2 James, Kevin 2 Judge, Samuel D. 2 Keith, William J. 2 Kilford, Lloyd James Peter 2 Kim, Chang Heon 2 Kronholm, Brandt 2 Liu, Zhi-Guo 2 Löbrich, Steffen 2 Malik, Amita 2 Mansour, Toufik 2 Mao, Guo-Shuai 2 Matsusaka, Toshiki 2 Meher, Jaban 2 Merca, Mircea 2 Mertens, Michael Helmut 2 Nicolas, Jean-Louis 2 Pak, Igor 2 Paule, Peter 2 Schneider, Carsten 2 Singh, Sujeet Kumar ...and 244 more Authors all top 5 Cited in 66 Serials 52 The Ramanujan Journal 44 Journal of Number Theory 38 International Journal of Number Theory 35 Proceedings of the American Mathematical Society 17 Advances in Mathematics 15 Transactions of the American Mathematical Society 14 Research in Number Theory 12 Research in the Mathematical Sciences 9 Journal of Mathematical Analysis and Applications 8 Journal of Combinatorial Theory. Series A 6 Proceedings of the National Academy of Sciences of the United States of America 6 Annals of Combinatorics 5 Mathematische Zeitschrift 5 Finite Fields and their Applications 4 Bulletin of the Australian Mathematical Society 4 Mathematics of Computation 4 Mathematische Annalen 4 Results in Mathematics 4 Forum Mathematicum 4 Mathematics 3 Discrete Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Arithmetica 3 Journal für die Reine und Angewandte Mathematik 3 Journal de Théorie des Nombres de Bordeaux 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 2 Mathematika 2 Expositiones Mathematicae 2 Journal of High Energy Physics 2 Integers 2 Advances in Difference Equations 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Colloquium Mathematicum 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Knot Theory and its Ramifications 1 The Electronic Journal of Combinatorics 1 Journal of Difference Equations and Applications 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Cosmology and Astroparticle Physics 1 Journal de l’École Polytechnique – Mathématiques 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 DML. Discrete Mathematics Letters 1 Electronic Research Archive all top 5 Cited in 22 Fields 341 Number theory (11-XX) 88 Special functions (33-XX) 87 Combinatorics (05-XX) 22 Algebraic geometry (14-XX) 5 Integral transforms, operational calculus (44-XX) 4 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year