Research in Number Theory

Title Publication Date Language Citations
On the 2-part of the class number of $${\mathbb {Q}}(\sqrt{\pm D})$$ for a congruent number D2022/10/01English
Galois scaffolds for cyclic $$p^n$$-extensions in characteristic p2022/09/30English
Explicit realization of elements of the Tate–Shafarevich group constructed from Kolyvagin classes2022/09/19English
Bailey pairs and indefinite quadratic forms, II. False indefinite theta functions2022/03/23English
Leading digit laws on linear Lie groups2015/12/01English
Lacunary recurrences for Eisenstein series2015/09/01English
Modular eigenforms at the boundary of weight space2018/04/30English
Bounded gaps between primes in short intervals2018/03/19English
Waring’s problem for polynomial rings and the digit sum of exponents2017/02/01English
Bounded gaps between products of distinct primes2017/12/01English
Selmer groups of twists of elliptic curves over K with K-rational torsion points2016/10/05English
On the Newton polygons of Kaneko-Zagier lifts of supersingular polynomials2016/12/01English
Higher order smallest parts functions and rank-crank moment inequalities from Bailey pairs2016/12/01English
Unlikely intersections on the p-adic formal ball2023/04/30English
Evaluation of multiple zeta values for various limiting processes at non-positive integers2023/05/15English
Number of complete subgraphs of Peisert graphs and finite field hypergeometric functions2024/03/08English
Pair correlations of logarithms of complex lattice points2024/03/07English
Theta lifts to certain cohomological representations of indefinite orthogonal groups2024/03/07English
Constants for Artin-like problems in Kummer and division fields2024/03/04English
A threefold violating a local-to-global principle for rationality2024/04/05English
Number of solutions to a special type of unit equations in two unknowns, II2024/04/01English
Modular curves $$X_0(N)$$ with infinitely many quartic points2024/04/08English
Ramanujan–Shen’s differential equations for Eisenstein series of level 22024/04/06English
Bianchi period polynomials: Hecke action and congruences2024/04/05English
On the explicit Galois group of $$\mathbb {Q}(\sqrt{a_{1}}, \sqrt{a_{2}}, \dots , \sqrt{a_{n}}, \zeta _{d})$$ over $$\mathbb {Q}$$2024/04/02English
Group ring valued Hilbert modular forms2024/04/03English
Distribution of Andrews’ singular overpartitions $${\overline{C}}_{p,1}(n)$$2024/01/04English
Error approximation for backwards and simple continued fractions2023/11/22English
Curious congruences for cyclotomic polynomials II2023/12/13English
Eisenstein series, p-adic modular functions, and overconvergence, II2023/12/13English