Kimball Martin
PUBLICATIONS∗ denotes unrefereed conference proceedings

2022
2021
2020
2020
2020
2018
2018
2018
2017
2017
2017
2016
2015*
2015
2015
2015

2014
2013

2011

Refined Goldbach conjectures with primes in progressions, Exp. Math., Vol. 31, No. 1(2022), 226–232.
An on-average Maeda-type conjecture in the level aspect, Proc. Amer. Math. Soc., Vol.
149, No. 4 (2021), 1373–1386.
Zeroes of quaternionic modular forms and central L-values (with Jordan Wiebe), J.
Number Theory, Vol. 217 (2020), 460–494.
The basis problem revisited, Trans. Amer. Math. Soc., Vol. 373, No. 7 (2020), 4523–4559.
Rationality of Darmon points over genus fields of non-maximal orders (with Matteo
Longo and Yan Hu), Ann. Math. Que., Vol. 44, No. 1 (2020), 173–195.
Congruences for modular forms mod 2 and quaternionic S-ideal classes, Canad. J. Math.,Vol. 70, No. 5 (2018), 1076–1095.
Periods and nonvanishing of central L-values for GL(2n) (with Brooke Feigon and DavidWhitehouse), Israel J. Math., Vol. 225, No. 1 (2018), 223–266.
Refined dimensions of cusp forms, and equidistribution and bias of signs, J. NumberTheory, Vol. 188 (2018), 1–17.
The Jacquet–Langlands correspondence, Eisenstein congruences, and integral L-values
in weight 2, Math. Res. Lett. Vol. 24, No. 6 (2017), 1775–1795.
Distinguishing finite group characters and refined local-global phenomena (with NahidWalji), Acta Arith. Vol. 179, No. 3 (2017), 277–300.
Test vectors and central L-values for GL(2) (with Daniel File and Ameya Pitale), Algebra
Number Theory Vol. 11, No. 2 (2017), 253–318.
A comparison of automorphic and Artin L-series of GL(2)-type agreeing at degree one
primes (with Dinakar Ramakrishnan), Contemp. Math. 664 (2016), 339–350.
Strong local-global phenomena for Galois and automorphic representations, RIMS Kôkyûroku 1763, Modular forms and automorphic representations (2015), 120–130.
Distinguishing graphs with zeta functions and generalized spectra (with Christina Durfee), Linear Algebra Appl. 481 (2015), 54–82.
How often should you clean your room? (with Krishnan Shankar), Disc. Math. Theor.
Comp. Sci. Vol. 17, No. 1 (2015), 413–442.
Local root numbers, Bessel models, and a conjecture of Guo and Jacquet (with Masaaki
Furusawa), J. Number Theory, Special Issue in honor of Steve Rallis, Vol. 146 (2015),
150–170.
On central critical values of the degree four L-functions for GSp(4): a simple trace formula (with Masaaki Furusawa), Math. Z., Vol. 277, No. 1 (2014), 149–180.
On central critical values of the degree four L-functions for GSp(4): the fundamental
lemma III (with Masaaki Furusawa and Joseph Shalika), Mem. Amer. Math. Soc., Vol.
225, No. 1027 (2013), x+134pp.
Nonunique factorization and principalization in number fields, Proc. Amer. Math. Soc.,

12011
2011
2009
2008*
2007
2006*
2004
2004
2003

Vol. 139, No. 9 (2011), 3025–3038.
A relative trace formula for a compact Riemann surface (with Mark McKee and EricWambach), Int. J. Number Theory, Vol. 7, No. 2 (2011), 389–429.
On central critical values of the degree four L-functions for GSp(4): the fundamentallemma II (with Masaaki Furusawa), Amer. J. Math., Vol. 133, No. 1 (2011), 197–233.
Central L-values and toric periods for GL(2) (with David Whitehouse), Int. Math. Res.
Not. 2009, No. 1 (2009), 141–191.
Central L-values and toric periods for GL(2), RIMS Kôkyûroku 1617, Automorphic Representations, Automorphic Forms, L-functions and Related Topics (2008), 126–137.
Shalika periods on GL(2,D) and GL(4) (with Hervé Jacquet), Pacific J. Math. Vol. 233,No. 2 (2007), 341–370.
Transfer from GL(2,D) to GSp(4), Proceedings of the 9th Autumn Workshop on Number
Theory, Hakuba, Japan (2006), 10pp.
Four-dimensional Galois representations of solvable type and automorphic forms, Ph.D.
Thesis, Caltech (2004), 81pp.
Modularity of hypertetrahedral representations, C.R. Acad. Sci. Paris, Ser. I 336 (2004),
99–102.
A symplectic case of Artin’s conjecture, Math. Res. Let. 10 (2003), 483–492.
Preprints

submitted
submitted
accepted

Eisenstein congruences and mass formulas in higher rank (with Satoshi Wakatsuki)(arXiv:1907.03417 )Exact double averages of twisted L-values (arXiv:2006.04914)
Rank bias for elliptic curves mod p (with Thomas Pharis), Involve, to appear (arXiv:2103.02115)

Last updated: May 23, 2022

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