Edit Profile Ahlgren, Scott D. Compute Distance To: Compute Author ID: ahlgren.scott-d Published as: Ahlgren, Scott; Ahlgren, Scott D. External Links: MGP · Wikidata Documents Indexed: 53 Publications since 1997, including 1 Book Reviewing Activity: 12 Reviews 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 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 42 Publications have been cited 468 times in 311 Documents Cited by ▼ Year ▼ A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002Ahlgren, Scott; Ono, Ken 65 2000 Congruence properties for the partition function. Zbl 1114.11310Ahlgren, Scott; Ono, Ken 46 2001 Distribution of the partition function modulo composite integers \(M\). Zbl 1007.11061Ahlgren, Scott 42 2000 Arithmetic properties of the partition function. Zbl 1038.11067Ahlgren, Scott; Boylan, Matthew 37 2003 Arithmetic of singular moduli and class polynomials. Zbl 1133.11036Ahlgren, Scott; Ono, Ken 22 2005 Gaussian hypergeometric series and combinatorial congruences. Zbl 1037.33016Ahlgren, Scott 22 2001 The arithmetic of partitions into distinct parts. Zbl 1040.11073Ahlgren, Scott; Lovejoy, Jeremy 20 2001 Distribution of parity of the partition function in arithmetic progressions. Zbl 1027.11079Ahlgren, Scott 19 1999 Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031Ahlgren, Scott; Ono, Ken 17 2000 \(\ell \)-adic properties of smallest parts functions. Zbl 1268.11145Ahlgren, Scott; Bringmann, Kathrin; Lovejoy, Jeremy 15 2011 The theta-operator and the divisors of modular forms on genus zero subgroups. Zbl 1149.11308Ahlgren, Scott 15 2003 Algebraic and transcendental formulas for the smallest parts function. Zbl 1407.11058Ahlgren, Scott; Andersen, Nickolas 9 2016 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 Zeta functions of an infinite family of \(K3\) surfaces. Zbl 1065.14023Ahlgren, Scott; Ono, Ken; Penniston, David 9 2002 Coefficients of half-integral weight modular forms modulo \(\ell^{ j }\). Zbl 1082.11023Ahlgren, Scott; Boylan, Matthew 8 2005 Addition and counting: The arithmetic of partitions. Zbl 1024.11063Ahlgren, Scott; Ono, Ken 8 2001 The points of a certain fivefold over finite fields and the twelfth power of the eta function. Zbl 1026.11053Ahlgren, Scott 7 2002 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 The sixth, eighth, ninth, and tenth powers of Ramanujan’s theta function. Zbl 0953.11006Ahlgren, Scott 6 2000 Kloosterman sums and Maass cusp forms of half integral weight for the modular group. Zbl 07013402Ahlgren, Scott; Andersen, Nickolas 5 2018 Dissections of a “strange” function. Zbl 1325.05030Ahlgren, Scott; Kim, Byungchan 5 2015 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 Integrals of Eisenstein series and derivatives of \(L\)-functions. Zbl 1086.11023Ahlgren, Scott; Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 5 2002 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 Hecke relations for traces of singular moduli. Zbl 1268.11056Ahlgren, Scott 4 2012 Central critical values of modular \(L\)-functions and coefficients of half-integral weight modular forms modulo \(\ell\). Zbl 1154.11017Ahlgren, Scott; Boylan, Matthew 4 2007 A polyharmonic Maass form of depth 3/2 for \(\mathrm{SL}_2(\mathbb{Z})\). Zbl 1444.11081Ahlgren, Scott; Andersen, Nickolas; Samart, Detchat 3 2018 Mock theta functions and weakly holomorphic modular forms modulo \(2\) and \(3\). Zbl 1371.11086Ahlgren, Scott; Kim, Byungchan 3 2015 Euler-like recurrences for smallest parts functions. Zbl 1380.11042Ahlgren, Scott; Andersen, Nickolas 3 2015 Vanishing of modular forms at infinity. Zbl 1214.11052Ahlgren, Scott; Masri, Nadia; Rouse, Jeremy 3 2009 Congruences for modular forms of weights two and four. Zbl 1144.11036Ahlgren, Scott; Barcau, Mugurel 3 2007 Higher Weierstrass points on \(X_{0}(p)\). Zbl 1114.11056Ahlgren, Scott; Papanikolas, Matthew 3 2003 Hecke grids and congruences for weakly holomorphic modular forms. Zbl 1375.11045Ahlgren, Scott; Andersen, Nickolas 2 2014 Congruences for level four cusp forms. Zbl 1270.11047Ahlgren, Scott; Choi, Dohoon; Rouse, Jeremy 2 2009 Dissections of strange \(q\)-series. Zbl 1436.33014Ahlgren, Scott; Kim, Byungchan; Lovejoy, Jeremy 1 2019 The arithmetic of Weierstrass points on modular curves \(X_0(p)\). Zbl 1058.14037Ahlgren, Scott 1 2004 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 Dissections of strange \(q\)-series. Zbl 1436.33014Ahlgren, Scott; Kim, Byungchan; Lovejoy, Jeremy 1 2019 Kloosterman sums and Maass cusp forms of half integral weight for the modular group. Zbl 07013402Ahlgren, Scott; Andersen, Nickolas 5 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 Algebraic and transcendental formulas for the smallest parts function. Zbl 1407.11058Ahlgren, Scott; Andersen, Nickolas 9 2016 Dissections of a “strange” function. Zbl 1325.05030Ahlgren, Scott; Kim, Byungchan 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 Euler-like recurrences for smallest parts functions. Zbl 1380.11042Ahlgren, Scott; Andersen, Nickolas 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 15 2011 Vanishing of modular forms at infinity. Zbl 1214.11052Ahlgren, Scott; Masri, Nadia; Rouse, Jeremy 3 2009 Congruences for level four cusp forms. Zbl 1270.11047Ahlgren, Scott; Choi, Dohoon; Rouse, Jeremy 2 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 4 2007 Congruences for modular forms of weights two and four. Zbl 1144.11036Ahlgren, Scott; Barcau, Mugurel 3 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 8 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 37 2003 The theta-operator and the divisors of modular forms on genus zero subgroups. Zbl 1149.11308Ahlgren, Scott 15 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 9 2002 The points of a certain fivefold over finite fields and the twelfth power of the eta function. Zbl 1026.11053Ahlgren, Scott 7 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 46 2001 Gaussian hypergeometric series and combinatorial congruences. Zbl 1037.33016Ahlgren, Scott 22 2001 The arithmetic of partitions into distinct parts. Zbl 1040.11073Ahlgren, Scott; Lovejoy, Jeremy 20 2001 Addition and counting: The arithmetic of partitions. Zbl 1024.11063Ahlgren, Scott; Ono, Ken 8 2001 Congruences and conjectures for the partition function. Zbl 1009.11059Ahlgren, Scott; Ono, Ken 7 2001 A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002Ahlgren, Scott; Ono, Ken 65 2000 Distribution of the partition function modulo composite integers \(M\). Zbl 1007.11061Ahlgren, Scott 42 2000 Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031Ahlgren, Scott; Ono, Ken 17 2000 The sixth, eighth, ninth, and tenth powers of Ramanujan’s theta function. Zbl 0953.11006Ahlgren, Scott 6 2000 Distribution of parity of the partition function in arithmetic progressions. Zbl 1027.11079Ahlgren, Scott 19 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 296 Authors 18 Ahlgren, Scott D. 14 Ono, Ken 10 Choi, Dohoon 9 Bringmann, Kathrin 9 Long, Ling 8 Andersen, Nickolas 8 Garvan, Frank G. 7 Kim, Byungchan 7 Lovejoy, Jeremy 6 Guerzhoy, Pavel I. 6 McCarthy, Dermot 6 Mortenson, Eric T. 6 Osburn, Robert 6 Straub, Armin 6 Swisher, Holly 6 Zudilin, Wadim 5 Jennings-Shaffer, Chris 5 Penniston, David 5 Richter, Olav K. 5 Tu, Fang-Ting 5 Webb, John J. B. 4 Barman, Rupam 4 Berndt, Bruce Carl 4 Bruinier, Jan Hendrik 4 Chan, Heichi 4 Fuselier, Jenny G. 4 Goodson, Heidi 4 Jenkins, Paul M. 4 Kalita, Gautam 4 Lim, Subong 4 Lin, Bernard L. S. 4 Liu, Jicai 4 Saikia, Neelam 4 Wang, Liuquan 4 Zaharescu, Alexandru 3 Boylan, Matthew 3 Chan, Heng Huat 3 Chen, Shichao 3 Dai, Haobo 3 El-Guindy, Ahmad 3 Garthwaite, Sharon Anne 3 He, Bing 3 Kane, Ben 3 Kent, Zachary A. 3 Mao, Renrong 3 Masri, Riad 3 Papanikolas, Matthew A. 3 Radu, Cristian-Silviu 3 Samart, Detchat 3 Sun, Zhi-Wei 3 Vincent, Christelle 3 Wei, Chuanan 3 Xia, Ernest X. W. 3 Yang, Yifan 3 Yee, Ae Ja 3 Zanello, Fabrizio 2 Andrews, George Eyre 2 Brown, Jim L. 2 Chen, William Yong-Chuan 2 Choie, YoungJu 2 Deines-Schartz, Alyson 2 Dewar, Michael C. 2 Dou, Donna Quan Jie 2 Dunn, Alexander 2 Evans, Ronald J. 2 Folsom, Amanda 2 Guo, Victor J. W. 2 Hou, Qinghu 2 James, Kevin 2 Jameson, Marie 2 Jenkins, Paul A. 2 Judge, Samuel D. 2 Kang, Soon-Yi 2 Keith, William J. 2 Kilford, Lloyd James Peter 2 Kim, Chang Heon 2 Kronholm, Brandt 2 Liu, Zhi-Guo 2 Malik, Amita 2 Mansour, Toufik 2 Matsusaka, Toshiki 2 Nicolas, Jean-Louis 2 Pak, Igor 2 Pan, Hao 2 Paule, Peter 2 Rolen, Larry 2 Schneider, Carsten 2 Sun, Zhihong 2 Treneer, Stephanie 2 Zhu, Yifei 1 Adhikari, Sukumar Das 1 Alfes-Neumann, Claudia 1 Ali, Asra 1 Alkan, Emre 1 Aricheta, Victor Manuel 1 Atkinson, James R. 1 Bailey, David Harold 1 Ballantine, Cristina M. 1 Banks, Josiah 1 Barcau, Mugurel A. ...and 196 more Authors all top 5 Cited in 58 Serials 43 The Ramanujan Journal 40 Journal of Number Theory 36 International Journal of Number Theory 33 Proceedings of the American Mathematical Society 14 Advances in Mathematics 14 Transactions of the American Mathematical Society 12 Research in Number Theory 7 Journal of Mathematical Analysis and Applications 7 Journal of Combinatorial Theory. Series A 7 Research in the Mathematical Sciences 6 Annals of Combinatorics 5 Proceedings of the National Academy of Sciences of the United States of America 4 Bulletin of the Australian Mathematical Society 4 Mathematics of Computation 4 Mathematische Annalen 4 Results in Mathematics 4 Finite Fields and their Applications 4 Mathematics 3 Discrete Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Forum Mathematicum 3 Journal de Théorie des Nombres de Bordeaux 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 2 Mathematika 2 Expositiones Mathematicae 2 Integers 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 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 International Journal of Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 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 Advances in Difference Equations 1 Science China. Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 DML. Discrete Mathematics Letters 1 Electronic Research Archive all top 5 Cited in 20 Fields 295 Number theory (11-XX) 74 Special functions (33-XX) 73 Combinatorics (05-XX) 14 Algebraic geometry (14-XX) 5 Integral transforms, operational calculus (44-XX) 3 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-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 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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