Matthew Papanikolas - Texas A&M University (TAMU) Scholar

HR job title

Professor

selected publications

academic article
- Khaochim, C., & Papanikolas, M. A. (2023). Effective rigid analytic trivializations for Drinfeld modules. Canadian Journal of Mathematics. 75(3), 713-742.
- Papanikolas, M. A. (2022). Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients. Journal of Number Theory. 232, 317-354.
- Khaochim, C., & Papanikolas, M. A. (2021). Effective rigid analytic trivializations for Drinfeld modules
- Namoijam, C., & Papanikolas, M. A. (2021). Hyperderivatives of periods and quasi-periods for Anderson $t$-modules
- El-Guindy, A., Masri, R., Papanikolas, M., & Zeng, G. (2019). Equidistribution of Gross points over rational function fields
- Gezmis, O., & Papanikolas, M. A. (2019). The de Rham isomorphism for Drinfeld modules over Tate algebras. Journal of Algebra. 525, 454-496.
- Chang, C., Papanikolas, M. A., & Yu, J. (2019). An effective criterion for Eulerian multizeta values in positive characteristic. Journal of the European Mathematical Society (Print). 21(2), 405-440.
- Brownawell, W. D., & Papanikolas, M. A. (2018). A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives
- Chang, C., El-Guindy, A., & Papanikolas, M. A. (2018). Log-algebraic identities on Drinfeld modules and special L-values. Journal of London Mathematical Society. 97(2), 125-144.
- Green, N., & Papanikolas, M. A. (2018). Special L-values and shtuka functions for Drinfeld modules on elliptic curves. Research in the Mathematical Sciences. 5(1), 4.
- Papanikolas, M. A., & Zeng, G. (2017). Theta operators, Goss polynomials, and nu-adic modular forms. Journal de Theorie des Nombres de Bordeaux. 29(3), 729-753.
- McCarthy, D., & Papanikolas, M. A. (2015). A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. International Journal of Number Theory. 11(8), 2431-2450.
- El-Guindy, A., & Papanikolas, M. A. (2014). Identities for Anderson generating functions for Drinfeld modules. Monatshefte fuer Mathematik. 173(4), 471-493.
- Papanikolas, M. A., Rogers, M. D., & Samart, D. (2014). The Mahler measure of a Calabi-Yau threefold and special -values. Mathematische Zeitschrift. 276(3-4), 1151-1163.
- El-Guindy, A., & Papanikolas, M. A. (2013). Explicit formulas for Drinfeld modules and their periods. Journal of Number Theory. 133(6), 1864-1886.
- Lutes, B. A., & Papanikolas, M. A. (2013). Algebraic independence of values of Goss L-functions at s=1. Journal of Number Theory. 133(3), 1000-1011.
- Chang, C., Papanikolas, M. A., & Conrad, B. (2012). ALGEBRAIC INDEPENDENCE OF PERIODS AND LOGARITHMS OF DRINFELD MODULES. Journal of the American Mathematical Society. 25(1), 123-150.
- Chang, C., Papanikolas, M. A., & Yu, J. (2011). Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic. Algebra and Number Theory. 5(1), 111-129.
- Chang, C., & Papanikolas, M. A. (2011). ALGEBRAIC RELATIONS AMONG PERIODS AND LOGARITHMS OF RANK 2 DRINFELD MODULES. American Journal of Mathematics. 133(2), 359-391.
- Chang, C., Papanikolas, M. A., & Yu, J. (2010). Geometric Gamma Values and Zeta Values in Positive Characteristic. International mathematics research notices. 2010(8), 1432-1455.
- Chang, C., & Papanikolas, M. A. (2010). Algebraic independence of periods and logarithms of Drinfeld modules (with an appendix by Brian Conrad)
- Chang, C., Papanikolas, M. A., Thakur, D. S., & Yu, J. (2010). Algebraic independence of arithmetic gamma values and Carlitz zeta values. Advances in Mathematics. 223(4), 1137-1154.
- Papanikolas, M. A. (2008). Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms. Inventiones Mathematicae. 171(1), 123-174.
- Papanikolas, M., & Rasmussen, C. (2007). On the torsion of Jacobians of principal modular curves of level 3(n). Archiv der Mathematik. 88(1), 19-28.
- Papanikolas, M. (2006). A formula and a congruence for Ramanujan's tau-function. Proceedings of the American Mathematical Society. 134(2), 333-341.
- Papanikolas, M. A., & Ramachandran, N. (2005). Extensions of abelian varieties defined over a number field. Journal of Number Theory. 112(2), 386-400.
- Frechette, S., Ono, K., & Papanikolas, M. (2004). Combinatorics of traces of Hecke operators. Proceedings of the National Academy of Sciences of the United States of America. 101(49), 17016-17020.
- Anderson, G. W., Brownawell, W. D., & Papanikolas, M. A. (2004). Determination of the algebraic relations among special Gamma-values in positive characteristic. Annals of Mathematics. 160(1), 237-313.
- Frechette, S., Ono, K., & Papanikolas, M. (2004). Gaussian hypergeometric functions and traces of Hecke operators. International mathematics research notices. 2004(60), 3233-3262.
- Ahlgren, S., & Papanikolas, M. (2003). Higher weierstrass points on X-0(p). Transactions of the American Mathematical Society. 355(4), 1521-1535.
- Papanikolas, M. A., & Ramachandran, N. (2003). A Weil-Barsotti formula for Drinfeld modules. Journal of Number Theory. 98(2), 407-431.
- Brownawell, W. D., & Papanikolas, M. A. (2002). Linear independence of Gamma values in positive characteristic. Journal für die Reine und Angewandte Mathematik. 549(549), 91-148.
- Papanikolas, M. A. (2002). Universal norms on abelian varieties over global function fields. Journal of Number Theory. 94(2), 326-342.
- Papanikolas, M. A. (2000). Canonical heights on elliptic curves in characteristic p. Compositio Mathematica. 122(3), 299-313.
chapter
- Brownawell, W. D., & Papanikolas, M. A. (2020). A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives. $t$-Motives: Hodge Structures, Transcendence and Other Motivic Aspects. (pp. 3-30). European Mathematical Society - EMS - Publishing House GmbH.
conference paper
- Ono, K., & Papanikolas, M. A. (2004). p-adic properties of values of the modular j-function. Developments in Mathematics. 357-365.
- Ono, K., & Papanikolas, M. A. (2002). Quadratic twists of modular forms and elliptic curves. 73-85.
institutional repository document
- Huang, W., & Papanikolas, M. A. (2022). Convolutions of Goss and Pellarin $L$-series
- Huang, W., & Papanikolas, M. (2022). A note on log-algebraicity on elliptic curves
- Brownawell, W. D., Chang, C., Papanikolas, M. A., & Wei, F. (2022). Function Field Analogue of Shimura's Conjecture on Period Symbols
- Khaochim, C., & Papanikolas, M. A. (2021). Effective rigid analytic trivializations for Drinfeld modules
- Namoijam, C., & Papanikolas, M. A. (2021). Hyperderivatives of periods and quasi-periods for Anderson $t$-modules
- Papanikolas, M. A. (2018). Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients
- Brownawell, W. D., & Papanikolas, M. A. (2018). A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives
- Gezmi, O., & Papanikolas, M. A. (2018). The de Rham isomorphism for Drinfeld modules over Tate algebras
- Chang, C., El-Guindy, A., & Papanikolas, M. A. (2017). Log-algebraic identities on Drinfeld modules and special L-values
- Green, N., & Papanikolas, M. A. (2016). Special L-values and shtuka functions for Drinfeld modules on elliptic curves
- Papanikolas, M. A., & Zeng, G. (2016). Theta operators, Goss polynomials, and v-adic modular forms
- Chang, C., Papanikolas, M. A., & Yu, J. (2014). An effective criterion for Eulerian multizeta values in positive characteristic
- Papanikolas, M. A., Rogers, M. D., & Samart, D. (2013). The Mahler measure of a Calabi-Yau threefold and special L-values
- El-Guindy, A., & Papanikolas, M. A. (2013). Identities for Anderson generating functions for Drinfeld modules
- McCarthy, D., & Papanikolas, M. A. (2012). A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform
- El-Guindy, A., & Papanikolas, M. A. (2011). Explicit formulas for Drinfeld modules and their periods
- Lutes, B. A., & Papanikolas, M. A. (2011). Algebraic independence of values of Goss L-functions at s=1
- Chang, C., & Papanikolas, M. A. (2010). Algebraic independence of periods and logarithms of Drinfeld modules (with an appendix by Brian Conrad)
- Chang, C., Papanikolas, M. A., Thakur, D. S., & Yu, J. (2009). Algebraic independence of arithmetic gamma values and Carlitz zeta values
- Chang, C., Papanikolas, M. A., & Yu, J. (2009). Geometric Gamma values and zeta values in positive characteristic
- Chang, C., & Papanikolas, M. A. (2008). Algebraic relations among periods and logarithms of rank 2 Drinfeld modules
- Chang, C., Papanikolas, M. A., & Yu, J. (2008). Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic
- Papanikolas, M., & Rasmussen, C. (2005). On the torsion of Jacobians of principal modular curves of level 3^n
- Papanikolas, M. A. (2005). Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
- Papanikolas, M. A., & Ramachandran, N. (2002). Extensions of abelian varieties defined over a number field
- Anderson, G. W., Brownawell, W. D., & Papanikolas, M. A. (2002). Determination of the algebraic relations among special Gamma-values in positive characteristic
- Papanikolas, M. A., & Ramachandran, N. (2001). A Weil-Barsotti formula for Drinfeld modules
- Brownawell, W. D., & Papanikolas, M. A. (2001). Linear independence of Gamma values in positive characteristic
- Papanikolas, M. A. (1999). Canonical heights on elliptic curves in characteristic p

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Matthew

has last name

Papanikolas

mailing address

Texas A&M University

Mathematics

3368 TAMU

College Station, TX 77843-3368

USA

email

papanikolas@tamu.edu

Papanikolas, Matthew Professor

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