## Found 1,244 Documents (Results 1–100)

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### $$p$$-adic $$L$$-functions of Hilbert cusp forms and the trivial zero conjecture. (English)Zbl 07547819

MSC:  11F67 11F41 11G40
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### The number of representations of squares by integral quaternary quadratic forms. (English)Zbl 07536469

MSC:  11E12 11E20 11E45
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### An asymptotic expansion for a twisted Lambert series associated to a cusp form and the Möbius function: level aspect. (English)Zbl 07517410

MSC:  11M06 11M26 11N37
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### Generalized divisor problem for new forms of higher level. (English)Zbl 07511565

MSC:  11N37 11F30
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### Drinfeld cusp forms: oldforms and newforms. (English)Zbl 07510293

MSC:  11F52 11F25
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### Discrete mean square of the coefficients of symmetric square L-functions on certain sequence of positive numbers. (English)Zbl 07504604

MSC:  11Mxx 11M06 11-XX
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### Moments of central $$L$$-values for Maass forms over imaginary quadratic fields. (English)Zbl 07502502

MSC:  11F67 11F12
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### The number of representations of integers by 4-dimensional strongly $$N$$-modular lattices. (English)Zbl 07493916

MSC:  11E25 11E45
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MSC:  11-XX
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### Bounds toward hypothesis S for cusp forms. (English)Zbl 07493018

MSC:  11F12 11F30
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### Riemann hypothesis for period polynomials attached to the derivatives of $$L$$-functions of cusp forms for $$\Gamma_0(N)$$. (English)Zbl 07472992

MSC:  11F11 11F67 11B83
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### An exact formula for a Lambert series associated to a cusp form and the Möbius function. (English)Zbl 07472670

MSC:  11M06 11M26 11N37
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### Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms. (English)Zbl 07524097

MSC:  11F11 11F30 11F66
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### On counting cuspidal automorphic representations for $$\mathrm{GSp(4)}$$. (English)Zbl 1484.11123

MSC:  11F46 11F70
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MSC:  11F66
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### A constraint for twist equivalence of cusp forms on $$\mathrm{GL}(n)$$. (English)Zbl 07472544

MSC:  11F11 11F70 11F55
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### Analytic twists of $$\mathrm{GL}_3\times\mathrm{GL}_2$$ automorphic forms. (English)Zbl 1483.11086

MSC:  11F37 11F30 11F70
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### A $$p$$-arton model for modular cusp forms. (English. Russian original)Zbl 1483.11075

Theor. Math. Phys. 209, No. 1, 1403-1422 (2021); translation from Teor. Mat. Fiz. 209, No. 1, 101-124 (2021).
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### On the first negative Hecke eigenvalue of an automorphic representation of $$\mathrm{GL}_2(\mathbb{A}_\mathbb{Q})$$. (English)Zbl 1475.11097

MSC:  11F70 11F30 11F67
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### Ranks for representations of $$GL_n$$ over finite fields, their agreement, and positivity of Fourier transform. (English)Zbl 07424020

MSC:  20-XX 11-XX
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### On the number of representations of integers by quaternary quadratic forms. (English)Zbl 1485.11081

MSC:  11E25 11F30 11F27
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### A note on additive twists, reciprocity laws and quantum modular forms. (English)Zbl 1475.11111

MSC:  11F99 11M06 11F30
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### The relative trace formula in analytic number theory. (English)Zbl 1483.11101

Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 51-73 (2021).
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### Estimates of shifted convolution sums involving Fourier coefficients of Hecke-Maass eigenform. (English)Zbl 1477.11078

MSC:  11F30 11F37 11F66
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### On the slopes of the lattice of sections of hermitian line bundles. (English)Zbl 07377288

MSC:  14G40 14G35 11F11
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### Bounds for twists of $$\mathrm{GL}(3)$$ $$L$$-functions. (English)Zbl 07357364

MSC:  11F66 11F55 11M41
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### The number of representations of integers by generalized Bell ternary quadratic forms. (English)Zbl 1472.11110

MSC:  11E25 11E45
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### Signs of Fourier coefficients of half-integral weight modular forms. (English)Zbl 1467.11047

MSC:  11F37 11F30
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### On the Petersson inner products of Fourier-Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms. (English)Zbl 1473.11095

MSC:  11F46 11F50
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### A note on cusp forms and representations of $$\mathrm{SL}_2(\mathbb{F}_\mathrm{p})$$. (English)Zbl 1477.20083

MSC:  20G05 20C33 20G40
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### Non-vanishing of Maass form $$L$$-functions at the central point. (English)Zbl 1475.11092

MSC:  11F67 11F12
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### Triple correlation sums of coefficients of cusp forms. (English)Zbl 1477.11072

MSC:  11F11 11M32
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### On fourth and higher moments of short exponential sums related to cusp forms. (English)Zbl 1461.11111

MSC:  11L07 11F11 11F30
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### On Hecke theory for Hermitian modular forms. (English)Zbl 1469.11121

Ramakrishnan, B. (ed.) et al., Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. Singapore: Springer. Springer Proc. Math. Stat. 340, 73-88 (2020).
MSC:  11F55 11F60
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### $$p$$-adic Asai $$L$$-functions attached to Bianchi cusp forms. (English)Zbl 1469.11130

Ramakrishnan, B. (ed.) et al., Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. Singapore: Springer. Springer Proc. Math. Stat. 340, 19-45 (2020).
MSC:  11F67 11F75 11F85
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### $$\Omega$$-results on Hecke eigenvalues of holomorphic cusp forms. (English)Zbl 1474.11105

MSC:  11F11 11F66
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### Hecke operators and systems of eigenvalues on Siegel cusp forms. (English)Zbl 07363184

Memoirs of the American Mathematical Society 1306. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4334-4/pbk; 978-1-4704-6343-4/ebook). v, 165 p. (2020).
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### On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms. (English)Zbl 1475.11078

MSC:  11F30 11F41
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MSC:  11F66
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### On short sums involving Fourier coefficients of Maass forms. (English. French summary)Zbl 1458.11073

MSC:  11F37 11F12 11F30
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### Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. (English)Zbl 1467.11004

Springer Proceedings in Mathematics & Statistics 340. Singapore: Springer (ISBN 978-981-15-8718-4/hbk; 978-981-15-8721-4/pbk; 978-981-15-8719-1/ebook). xii, 233 p. (2020).
MSC:  11-06 11Fxx 00B25
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### On the standard twist of the $$L$$-functions of half-integral weight cusp forms. (English)Zbl 1469.11354

MSC:  11M41 11F66 11F37
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### On modular signs of half integral weights. (English)Zbl 1462.11039

MSC:  11F37 11F30 11F67
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### Shifted convolution sums of Fourier coefficients with squarefull kernel functions. (English)Zbl 1441.11095

MSC:  11F30 11F66
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### Simultaneous nonvanishing of products of $$L$$-functions associated to elliptic cusp forms. (English)Zbl 1469.11282

MSC:  11M06 11F03
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MSC:  22E43
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### Mean-square estimate of automorphic $$L$$-functions. (English)Zbl 1446.11067

MSC:  11F03 11F11 11F30
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### Kernels for products of Hilbert $$L$$-functions. (English)Zbl 1456.11087

MSC:  11F67 11F41 11F03
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MSC:  11F70
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### On the non-vanishing of $$L$$-functions associated to cusp forms of half-integral weight. (English)Zbl 1439.11123

MSC:  11F37 11F66
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### Plancherel distribution of Satake parameters of Maass cusp forms on $$\mathrm{GL}_3$$. (English)Zbl 1437.11079

MSC:  11F70 11F37 11F72
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### Exponential sums of squares of Fourier coefficients of cusp forms. (English)Zbl 1439.11118

MSC:  11F30 11L03
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### Signs of Fourier coefficients of cusp form at sum of two squares. (English)Zbl 1454.11070

MSC:  11F11 11F30
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### On comparing Hecke eigenvalues of cusp forms. (English)Zbl 1463.11116

MSC:  11F30 11F11 11F66
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### A note on lower bounds of heights of non-zero Fourier coefficients of Hilbert cusp forms. (English)Zbl 1444.11070

MSC:  11F30 11F37 11F41
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MSC:  11F67
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### Hecke eigenform and double Eisenstein series. (English)Zbl 1476.11074

MSC:  11F11 11F67 11M32
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### Explicit subconvexity savings for sup-norms of cusp forms on $$\mathrm{PGL}_n(\mathbb{R})$$. (English)Zbl 1453.11076

MSC:  11F72 11F55
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### Angular changes of complex Fourier coefficients of cusp forms. (English)Zbl 1450.11037

MSC:  11F03 11F30 11F37
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### Extention of the Laurinčikas-Matsumoto theorem. (English)Zbl 1441.11237

MSC:  11M41 11M06
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### A study on twisted Koecher-Maass series of Siegel cusp forms via an integral kernel. (English)Zbl 1459.11121

MSC:  11F46 11F50 11M32
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### Oscillatory behavior and equidistribution of signs of Fourier coefficients of cusp forms. (English)Zbl 1436.11037

MSC:  11F03 11F30 11F37
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### A note on the extended Bruinier-Kohnen conjecture. (English)Zbl 1437.11055

MSC:  11F03 11F30 11F37
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### Fluctuations in the distribution of Hecke eigenvalues about the Sato-Tate measure. (English)Zbl 1468.11101

MSC:  11F11 11F25 11F30
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### Level of Siegel modular forms constructed via $$\operatorname{sym}^3$$ lifting. (English)Zbl 1471.11155

Anni, Samuele (ed.) et al., Automorphic forms and related topics. Building bridges: 3rd EU/US summer school and workshop on automorphic forms and related topics, Sarajevo, Bosnia and Herzegovina, July 11–22, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 732, 225-227 (2019).
MSC:  11F46 11F70
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### Some remarks on the coefficients of symmetric power $$L$$-functions. (English)Zbl 1471.11161

Anni, Samuele (ed.) et al., Automorphic forms and related topics. Building bridges: 3rd EU/US summer school and workshop on automorphic forms and related topics, Sarajevo, Bosnia and Herzegovina, July 11–22, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 732, 155-164 (2019).
MSC:  11F66 11F11
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### Hodge theory for intersection space cohomology. (English)Zbl 1441.55004

MSC:  55N33 58A14
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### The mean value of a hybrid arithmetic function associated to Fourier coefficients of cusp forms. (English)Zbl 1461.11130

MSC:  11N37 11F30
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### On the Atkin $$U_t$$-operator for $$\Gamma _0(t)$$-invariant Drinfeld cusp forms. (English)Zbl 1450.11044

MSC:  11F52 11F25 20E08
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### Strong orthogonality between the Möbius function, additive characters and the coefficients of the $$L$$-functions of degree three. (English)Zbl 1448.11095

MSC:  11F66 11F70
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### On the Ramanujan-Petersson conjecture for modular forms of half-integral weight. (English)Zbl 1451.11036

MSC:  11F37 11F30
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### Kodaira dimension of moduli of special cubic fourfolds. (English)Zbl 1439.14118

MSC:  14J10 14J28 14J35
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### Integral power sums of Fourier coefficients of symmetric square $$L$$-functions. (English)Zbl 1431.11062

MSC:  11F30 11F11 11F66
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### Representations of Bell-type quaternary quadratic forms. (English)Zbl 1448.11078

MSC:  11E25 11E45
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