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Stellenbosch University

1.
Basson, Dirk Johannes.
On the coefficients of *Drinfeld* modular forms of higher rank.

Degree: PhD, Mathematical Sciences, 2014, Stellenbosch University

URL: http://hdl.handle.net/10019.1/86387

►

ENGLISH ABSTRACT: Rank 2 *Drinfeld* modular forms have been studied for more than 30 years, and while it is known that a higher rank theory…
(more)

Subjects/Keywords: Mathematics; Drinfeld modules

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Basson, D. J. (2014). On the coefficients of Drinfeld modular forms of higher rank. (Doctoral Dissertation). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/86387

Chicago Manual of Style (16^{th} Edition):

Basson, Dirk Johannes. “On the coefficients of Drinfeld modular forms of higher rank.” 2014. Doctoral Dissertation, Stellenbosch University. Accessed July 12, 2020. http://hdl.handle.net/10019.1/86387.

MLA Handbook (7^{th} Edition):

Basson, Dirk Johannes. “On the coefficients of Drinfeld modular forms of higher rank.” 2014. Web. 12 Jul 2020.

Vancouver:

Basson DJ. On the coefficients of Drinfeld modular forms of higher rank. [Internet] [Doctoral dissertation]. Stellenbosch University; 2014. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10019.1/86387.

Council of Science Editors:

Basson DJ. On the coefficients of Drinfeld modular forms of higher rank. [Doctoral Dissertation]. Stellenbosch University; 2014. Available from: http://hdl.handle.net/10019.1/86387

Texas A&M University

2. Lutes, Brad Aubrey. Special Values of the Goss L-function and Special Polynomials.

Degree: 2010, Texas A&M University

URL: http://hdl.handle.net/1969.1/ETD-TAMU-2010-08-8251

► Let K be the function field of an irreducible, smooth projective curve X defined over Fq. Let [lemniscate] be a fixed point on X and…
(more)

Subjects/Keywords: Function Fields; Drinfeld Modules; L-functions

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APA (6^{th} Edition):

Lutes, B. A. (2010). Special Values of the Goss L-function and Special Polynomials. (Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/ETD-TAMU-2010-08-8251

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Lutes, Brad Aubrey. “Special Values of the Goss L-function and Special Polynomials.” 2010. Thesis, Texas A&M University. Accessed July 12, 2020. http://hdl.handle.net/1969.1/ETD-TAMU-2010-08-8251.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Lutes, Brad Aubrey. “Special Values of the Goss L-function and Special Polynomials.” 2010. Web. 12 Jul 2020.

Vancouver:

Lutes BA. Special Values of the Goss L-function and Special Polynomials. [Internet] [Thesis]. Texas A&M University; 2010. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2010-08-8251.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lutes BA. Special Values of the Goss L-function and Special Polynomials. [Thesis]. Texas A&M University; 2010. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2010-08-8251

Not specified: Masters Thesis or Doctoral Dissertation

Leiden University

3. Mornev, M. Shtuka cohomology and special values of Goss L-functions.

Degree: 2018, Leiden University

URL: http://hdl.handle.net/1887/61145

Assuming everywhere good reduction we generalize the class number formula of Taelman to Drinfeld modules over arbitrary coefficient rings. In order to prove this formula we develop a theory of shtukas and their cohomology.
*Advisors/Committee Members: Supervisor: Edixhoven S.J., Taelman L..*

Subjects/Keywords: Drinfeld modules; Shtukas; Drinfeld modules; Shtukas

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Mornev, M. (2018). Shtuka cohomology and special values of Goss L-functions. (Doctoral Dissertation). Leiden University. Retrieved from http://hdl.handle.net/1887/61145

Chicago Manual of Style (16^{th} Edition):

Mornev, M. “Shtuka cohomology and special values of Goss L-functions.” 2018. Doctoral Dissertation, Leiden University. Accessed July 12, 2020. http://hdl.handle.net/1887/61145.

MLA Handbook (7^{th} Edition):

Mornev, M. “Shtuka cohomology and special values of Goss L-functions.” 2018. Web. 12 Jul 2020.

Vancouver:

Mornev M. Shtuka cohomology and special values of Goss L-functions. [Internet] [Doctoral dissertation]. Leiden University; 2018. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/1887/61145.

Council of Science Editors:

Mornev M. Shtuka cohomology and special values of Goss L-functions. [Doctoral Dissertation]. Leiden University; 2018. Available from: http://hdl.handle.net/1887/61145

Texas A&M University

4.
Green, Nathan Eric.
Tensor Powers of *Drinfeld* *Modules* and Zeta Values.

Degree: PhD, Mathematics, 2018, Texas A&M University

URL: http://hdl.handle.net/1969.1/173665

► We study tensor powers of rank 1 sign-normalized *Drinfeld* A-*modules*, where A is the coordinate ring of an elliptic curve over a finite field. Using…
(more)

Subjects/Keywords: Tensor powers of Drinfeld modules; shtuka functions; reciprocal sums; periods; motives

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Green, N. E. (2018). Tensor Powers of Drinfeld Modules and Zeta Values. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/173665

Chicago Manual of Style (16^{th} Edition):

Green, Nathan Eric. “Tensor Powers of Drinfeld Modules and Zeta Values.” 2018. Doctoral Dissertation, Texas A&M University. Accessed July 12, 2020. http://hdl.handle.net/1969.1/173665.

MLA Handbook (7^{th} Edition):

Green, Nathan Eric. “Tensor Powers of Drinfeld Modules and Zeta Values.” 2018. Web. 12 Jul 2020.

Vancouver:

Green NE. Tensor Powers of Drinfeld Modules and Zeta Values. [Internet] [Doctoral dissertation]. Texas A&M University; 2018. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/1969.1/173665.

Council of Science Editors:

Green NE. Tensor Powers of Drinfeld Modules and Zeta Values. [Doctoral Dissertation]. Texas A&M University; 2018. Available from: http://hdl.handle.net/1969.1/173665

University of Waterloo

5.
Tweedle, David.
The Lang-Trotter conjecture for *Drinfeld* * modules*.

Degree: 2011, University of Waterloo

URL: http://hdl.handle.net/10012/6106

► In 1986, Gupta and Murty proved the Lang-Trotter conjecture in the case of elliptic curves having complex multiplication, conditional on the generalized Riemann hypothesis. That…
(more)

Subjects/Keywords: Lang-Trotter conjecture; Drinfeld modules; Artin's conjecture; Function fields

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APA (6^{th} Edition):

Tweedle, D. (2011). The Lang-Trotter conjecture for Drinfeld modules. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/6106

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Tweedle, David. “The Lang-Trotter conjecture for Drinfeld modules.” 2011. Thesis, University of Waterloo. Accessed July 12, 2020. http://hdl.handle.net/10012/6106.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Tweedle, David. “The Lang-Trotter conjecture for Drinfeld modules.” 2011. Web. 12 Jul 2020.

Vancouver:

Tweedle D. The Lang-Trotter conjecture for Drinfeld modules. [Internet] [Thesis]. University of Waterloo; 2011. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10012/6106.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tweedle D. The Lang-Trotter conjecture for Drinfeld modules. [Thesis]. University of Waterloo; 2011. Available from: http://hdl.handle.net/10012/6106

Not specified: Masters Thesis or Doctoral Dissertation

Clemson University

6.
Trentacoste, Catherine.
Construction of a Dimension Two Rank One *Drinfeld* Module.

Degree: MS, Mathematical Science, 2009, Clemson University

URL: https://tigerprints.clemson.edu/all_theses/540

► Consider F_{r}[t] where r = pm for some prime p and m in the natural numbers. Let f(t) be an irreducible square-free polynomial with even…
(more)

Subjects/Keywords: Drinfeld Modules; Applied Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Trentacoste, C. (2009). Construction of a Dimension Two Rank One Drinfeld Module. (Masters Thesis). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_theses/540

Chicago Manual of Style (16^{th} Edition):

Trentacoste, Catherine. “Construction of a Dimension Two Rank One Drinfeld Module.” 2009. Masters Thesis, Clemson University. Accessed July 12, 2020. https://tigerprints.clemson.edu/all_theses/540.

MLA Handbook (7^{th} Edition):

Trentacoste, Catherine. “Construction of a Dimension Two Rank One Drinfeld Module.” 2009. Web. 12 Jul 2020.

Vancouver:

Trentacoste C. Construction of a Dimension Two Rank One Drinfeld Module. [Internet] [Masters thesis]. Clemson University; 2009. [cited 2020 Jul 12]. Available from: https://tigerprints.clemson.edu/all_theses/540.

Council of Science Editors:

Trentacoste C. Construction of a Dimension Two Rank One Drinfeld Module. [Masters Thesis]. Clemson University; 2009. Available from: https://tigerprints.clemson.edu/all_theses/540

7.
Shulman, Andrew.
Elementary divisors of reductions of generic *Drinfeld* * modules*.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/8268

► Let q be a power of an odd prime, A := F_{q}[T], and k := F_{q}(T). Let ψ be a *Drinfeld* A- module over a…
(more)

Subjects/Keywords: Drinfeld modules; elliptic curves; reduction; elementary divisors

…*Drinfeld* *modules* with non-trivial endomorphisms . . . . . . . . . . . . .
42
6
Case K ⊆ k… …come from the close relation between elliptic curves and
*Drinfeld* *modules*. In this chapter… …some lattice Λ.
1.2
*Drinfeld* *Modules* over C∞
In 1974, V. *Drinfeld* (11) introduced… …by generalizing his elliptic *modules*. Before defining a *Drinfeld* module, let us introduce… …curves, there is a bijective correspondence
between lattices Λ ⊆ C∞ and *Drinfeld* A-*modules* over…

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Shulman, A. (2012). Elementary divisors of reductions of generic Drinfeld modules. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8268

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Shulman, Andrew. “Elementary divisors of reductions of generic Drinfeld modules.” 2012. Thesis, University of Illinois – Chicago. Accessed July 12, 2020. http://hdl.handle.net/10027/8268.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Shulman, Andrew. “Elementary divisors of reductions of generic Drinfeld modules.” 2012. Web. 12 Jul 2020.

Vancouver:

Shulman A. Elementary divisors of reductions of generic Drinfeld modules. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10027/8268.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Shulman A. Elementary divisors of reductions of generic Drinfeld modules. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/8268

Not specified: Masters Thesis or Doctoral Dissertation

8. Gezmis, Oguz. SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS.

Degree: PhD, Mathematics, 2019, Texas A&M University

URL: http://hdl.handle.net/1969.1/186186

► In this work, we investigate Taelman L-values corresponding to *Drinfeld* *modules* over Tate algebras of arbitrary rank. Furthermore, we give log-algebraicity results which can be…
(more)

Subjects/Keywords: Drinfeld modules; Tate algebras; L-series

…introduced “elliptic *modules*” (which are now called *Drinfeld* *modules*)
as one of the… …developments, the L-series corresponding to *Drinfeld* *modules*
which can be defined in an analogous way… …corresponding to *Drinfeld*
*modules*. Moreover he proved the function field analogue of the class number… …formula.
Another development connected to L-values over function fields are *Drinfeld* *modules*… …the
theory of quasi-periodic functions corresponding to *Drinfeld* *modules* over Tate algebras…

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Gezmis, O. (2019). SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/186186

Chicago Manual of Style (16^{th} Edition):

Gezmis, Oguz. “SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS.” 2019. Doctoral Dissertation, Texas A&M University. Accessed July 12, 2020. http://hdl.handle.net/1969.1/186186.

MLA Handbook (7^{th} Edition):

Gezmis, Oguz. “SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS.” 2019. Web. 12 Jul 2020.

Vancouver:

Gezmis O. SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS. [Internet] [Doctoral dissertation]. Texas A&M University; 2019. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/1969.1/186186.

Council of Science Editors:

Gezmis O. SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS. [Doctoral Dissertation]. Texas A&M University; 2019. Available from: http://hdl.handle.net/1969.1/186186

9. Gezmis, Oguz. SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS.

Degree: PhD, Mathematics, 2019, Texas A&M University

URL: http://hdl.handle.net/1969.1/186226

► In this work, we investigate Taelman L-values corresponding to *Drinfeld* *modules* over Tate algebras of arbitrary rank. Furthermore, we give log-algebraicity results which can be…
(more)

Subjects/Keywords: Drinfeld modules; Tate algebras; L-series

…introduced “elliptic *modules*” (which are now called *Drinfeld* *modules*)
as one of the… …developments, the L-series corresponding to *Drinfeld* *modules*
which can be defined in an analogous way… …corresponding to *Drinfeld*
*modules*. Moreover he proved the function field analogue of the class number… …formula.
Another development connected to L-values over function fields are *Drinfeld* *modules*… …the
theory of quasi-periodic functions corresponding to *Drinfeld* *modules* over Tate algebras…

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Gezmis, O. (2019). SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/186226

Chicago Manual of Style (16^{th} Edition):

Gezmis, Oguz. “SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS.” 2019. Doctoral Dissertation, Texas A&M University. Accessed July 12, 2020. http://hdl.handle.net/1969.1/186226.

MLA Handbook (7^{th} Edition):

Gezmis, Oguz. “SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS.” 2019. Web. 12 Jul 2020.

Vancouver:

Gezmis O. SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS. [Internet] [Doctoral dissertation]. Texas A&M University; 2019. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/1969.1/186226.

Council of Science Editors:

Gezmis O. SPECIAL VALUES OF L-SERIES OVER TATE ALGEBRAS. [Doctoral Dissertation]. Texas A&M University; 2019. Available from: http://hdl.handle.net/1969.1/186226

10.
Τριπολιτάκη, Μαρίνα.
*Drinfeld**modules* και εφαρμογές στο αντίστροφο πρόβλημα της θεωρίας του Galois.

Degree: 2003, University of Crete (UOC); Πανεπιστήμιο Κρήτης

URL: http://hdl.handle.net/10442/hedi/31917

Subjects/Keywords: Ελλειπτικές καμπύλες; Ομάδα PSL; Modular αυτομορφισμοί; Drinfeld modules

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Τριπολιτάκη, . . (2003). Drinfeld modules και εφαρμογές στο αντίστροφο πρόβλημα της θεωρίας του Galois. (Thesis). University of Crete (UOC); Πανεπιστήμιο Κρήτης. Retrieved from http://hdl.handle.net/10442/hedi/31917

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Τριπολιτάκη, Μαρίνα. “Drinfeld modules και εφαρμογές στο αντίστροφο πρόβλημα της θεωρίας του Galois.” 2003. Thesis, University of Crete (UOC); Πανεπιστήμιο Κρήτης. Accessed July 12, 2020. http://hdl.handle.net/10442/hedi/31917.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Τριπολιτάκη, Μαρίνα. “Drinfeld modules και εφαρμογές στο αντίστροφο πρόβλημα της θεωρίας του Galois.” 2003. Web. 12 Jul 2020.

Vancouver:

Τριπολιτάκη . Drinfeld modules και εφαρμογές στο αντίστροφο πρόβλημα της θεωρίας του Galois. [Internet] [Thesis]. University of Crete (UOC); Πανεπιστήμιο Κρήτης; 2003. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10442/hedi/31917.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Τριπολιτάκη . Drinfeld modules και εφαρμογές στο αντίστροφο πρόβλημα της θεωρίας του Galois. [Thesis]. University of Crete (UOC); Πανεπιστήμιο Κρήτης; 2003. Available from: http://hdl.handle.net/10442/hedi/31917

Not specified: Masters Thesis or Doctoral Dissertation